Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics. Zbl 1150.82009
Kazakov, Vladimir; Sorin, Alexander; Zabrodin, Anton |
|
2008
|
Black holes in supergravity and integrability. Zbl 1291.81299
Chemissany, W.; Fré, P.; Rosseel, J.; Sorin, A. S.; Trigiante, M.; Van Riet, T. |
|
2010
|
On the super-NLS equation and its relation with the \(N=2\) super-KdV equation within the coset approach. Zbl 1020.37533
Krivonos, S.; Sorin, A.; Toppan, F. |
|
1995
|
Integrability of supergravity billiards and the generalized Toda lattice equations. Zbl 1119.83036
Fré, P.; Sorin, A. S. |
|
2006
|
Integrability of supergravity black holes and new tensor classifiers of regular and nilpotent orbits. Zbl 1348.83088
Fré, Pietro; Sorin, Alexander S.; Trigiante, Mario |
|
2012
|
Integrable scalar cosmologies. I: Foundations and links with string theory. Zbl 1285.83026
Fré, P.; Sagnotti, A.; Sorin, A. S. |
|
2013
|
Minimal realization of \(\ell\)-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation. Zbl 1390.83246
Krivonos, Sergey; Lechtenfeld, Olaf; Sorin, Alexander |
|
2016
|
Towards the construction of \(N=2\) supersymmetric integrable hierarchies. Zbl 0925.81302
Bonora, L.; Krivonos, S.; Sorin, A. |
|
1996
|
Cosmological backgrounds of superstring theory and solvable algebras: oxidation and branes. Zbl 1107.83320
Fré, P.; Gili, V.; Gargiulo, F.; Sorin, A.; Rulik, K.; Trigiante, M. |
|
2004
|
Bruhat order in full symmetric Toda system. Zbl 1305.37030
Chernyakov, Yu. B.; Sharygin, G. I.; Sorin, A. S. |
|
2014
|
On the gauged Kähler isometry in minimal supergravity models of inflation. Zbl 1338.83203
Ferrara, S.; Fré, P.; Sorin, A. S. |
|
2014
|
The integration algorithm of Lax equation for both generic Lax matrices and generic initial conditions. Zbl 1204.81088
Chemissany, Wissam; Fré, Pietro; Sorin, Alexander S. |
|
2010
|
The Weyl group and asymptotics: all supergravity billiards have a closed form general integral. Zbl 1194.83097
Fré, Pietro; Sorin, Alexander S. |
|
2009
|
The \(N=2\) supersymmetric matrix GNLS hierarchies. Zbl 0913.35124
Bonora, L.; Krivonos, S.; Sorin, A. |
|
1998
|
The solution of the \(N=(0|2)\) superconformal \(f\)-Toda lattice. Zbl 0951.37023
Derjagin, V. B.; Leznov, A. N.; Sorin, A. |
|
1998
|
Integrable mappings and hierarchies in the \((2|2)\) superspace. Zbl 0957.37517
Leznov, A. N.; Sorin, A. S. |
|
1997
|
Chiral anomalies in noncommutative YM theories. Zbl 1021.81057
Bonora, L.; Sorin, A. |
|
2001
|
Integrable scalar cosmologies. II: Can they fit into gauged extended supergravity or be encoded in \(\mathcal{N}=1\) superpotentials? Zbl 1285.83010
Fré, P.; Sorin, A. S.; Trigiante, M. |
|
2014
|
Fermionic flows and tau function of the \(N=(1| 1)\) superconformal Toda lattice hierarchy. Zbl 1068.81607
Lechtenfeld, O.; Sorin, A. |
|
1999
|
Axial symmetric Kähler manifolds, the D-map of inflaton potentials and the Picard-Fuchs equation. Zbl 1338.83208
Fré, P.; Sorin, A. S. |
|
2014
|
Extremal multicenter black holes: nilpotent orbits and Tits Satake universality classes. Zbl 1342.83157
Fré, Pietro; Sorin, Alexander S. |
|
2013
|
The \(c\)-map, Tits Satake subalgebras and the search for \(\mathcal{N}=2\) inflaton potentials. Zbl 1338.83209
Fré, P.; Sorin, A. S.; Trigiante, M. |
|
2015
|
Supergravity black holes and billiards and the Liouville integrable structure associated with Borel algebras. Zbl 1271.83080
Fré, Pietro; Sorin, Alexander S. |
|
2010
|
Explicit semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice. Zbl 1333.37081
Chernyakov, Yury B.; Sorin, Alexander S. |
|
2014
|
\(N=2\) affine superalgebras and Hamiltonian reduction in \(N=2\) superspace. Zbl 0882.17012
Ahn, C.; Ivanov, E.; Sorin, A. |
|
1997
|
Bi-Hamiltonian structure of the \(N=2\) supersymmetric \(\alpha=1\) KdV hierarchy. Zbl 0997.37046
Kersten, P. H. M.; Sorin, A. S. |
|
2002
|
The Hamiltonian structure of the \(N=2\) supersymmetric GNLS hierarchy. Zbl 1054.37508
Bonora, L.; Sorin, A. |
|
1997
|
On the topology of the inflaton field in minimal supergravity models. Zbl 1333.83234
Ferrara, Sergio; Fré, Pietro; Sorin, Alexander S. |
|
2014
|
Supersymmetric Toda lattice hierarchies. Zbl 0980.37022
Kadyshevsky, V. G.; Sorin, A. S. |
|
2001
|
Integrable structures in string field theory. Zbl 1006.81073
Bonora, L.; Sorin, A. S. |
|
2003
|
Generalized fermionic discrete Toda hierarchy. Zbl 1098.37065
Gribanov, V. V.; Kadyshevsky, V. G.; Sorin, A. S. |
|
2004
|
New method for constructing semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice. Zbl 1326.37044
Sorin, A. S.; Chernyakov, Yu. B. |
|
2015
|
\(N=(1|1)\) supersymmetric dispersionless Toda lattice hierarchy. Zbl 1067.37112
Kadyshevsky, V. G.; Sorin, A. S. |
|
2002
|
Inflation and integrable one-field cosmologies embedded in rheonomic supergravity. Zbl 1338.83207
Fré, P.; Sorin, A. S. |
|
2014
|
\(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace. Zbl 0947.37047
Delduc, F.; Gallot, L.; Sorin, A. |
|
1999
|
Quantum fluctuations and new instantons. I: Linear unbounded potential. Zbl 1539.81110
Mukhanov, V. F.; Rabinovici, E.; Sorin, A. S. |
|
2021
|
Quantum fluctuations and new instantons. II: Quartic unbounded potential. Zbl 1537.81189
Mukhanov, V. F.; Rabinovici, E.; Sorin, A. S. |
|
2021
|
Phase portraits of the full symmetric Toda systems on rank-2 groups. Zbl 1383.37045
Sorin, A. S.; Chernyakov, Yu. B.; Sharygin, G. I. |
|
2017
|
On the existence of the Coleman instantons. Zbl 1487.83043
Mukhanov, V. F.; Sorin, A. S. |
|
2021
|
Extended \(N=2\) supersymmetric matrix \((1,s)\)-KdV hierarchies. Zbl 0984.37080
Krivonos, S.; Sorin, A. |
|
1999
|
Hyperinstantons, the Beltrami equation, and triholomorphic maps. Zbl 1339.83072
Fré, P.; Grassi, P. A.; Sorin, A. S. |
|
2016
|
Bruhat order in the Toda system on \(\mathfrak{so}(2, 4)\): an example of non-split real form. Zbl 1416.37054
Chernyakov, Yu. B.; Sharygin, G. I.; Sorin, A. S. |
|
2019
|
Instantons with quantum core. Zbl 1495.83077
Mukhanov, V. F.; Sorin, A. S. |
|
2021
|
On a geometric approach to the formulation of the standard model. Zbl 1173.83300
Kadyshevskij, V. G.; Matveev, M. D.; Rodionov, V. N.; Sorin, A. S. |
|
2006
|
Light-cone superstring field theory, \(pp\)-wave background and integrability properties. Zbl 1087.83063
Bonora, L.; Santos, R. J. Scherer; Sorin, A. S.; Tolla, D. D. |
|
2006
|
More on the linearization of \(W\) algebras. Zbl 1044.81600
Krivonos, S.; Sorin, A. |
|
1996
|
Deformation and recursion for the \(N=2\) \(\alpha=1\) supersymmetric KdV hierarchy. Zbl 1059.37057
Sorin, Alexander S.; Kersten, Paul H. M. |
|
2004
|
\(N=2\) super-\(W^{(2)}_3\) algebra in superfields. Zbl 1022.81531
Ivanov, E.; Krivonos, S.; Sorin, A. |
|
1995
|
2-branes with Arnold-Beltrami fluxes from minimal \(D=7\) supergravity. Zbl 1338.83176
Fré, P.; Sorin, A. S. |
|
2015
|
Bruhat order in the full symmetric \(\mathfrak{sl}_n\) Toda lattice on partial flag space. Zbl 1391.37045
Chernyakov, Yury B.; Sharygin, Georgy I.; Sorin, Alexander S. |
|
2016
|
About the Coleman instantons in \(D\) dimensions. Zbl 1489.81027
Mukhanov, V. F.; Sorin, A. S. |
|
2022
|
Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies. Zbl 1177.81059
Gribanov, V. V.; Kadyshevsky, V. G.; Sorin, A. S. |
|
2006
|
Recursion operators on the \(N=2\) supersymmetric unconstrained matrix GNLS hierarchies. Zbl 1096.81508
Delduc, F.; Sorin, A. S. |
|
2002
|
Integrable hierarchies and modern physical theories. Proceedings of the NATO advanced research Workshop, Chicago, IL, USA, July 22–26, 2000. Zbl 0964.00039
|
|
2001
|
Hidden \(N=(2|2)\) supersymmetry of the \(N=(1|1)\) supersymmetric Toda lattice hierarchy. Zbl 0979.35136
Lechtenfeld, O.; Sorin, A. |
|
2001
|
Real forms of the complex \(N=4\) supersymmetric Toda chain hierarchy in real \(N=2\) and \(N=4\) superspaces. Zbl 1056.81516
Delduc, F.; Sorin, A. |
|
2000
|
The \(N=2\) supersymmetric unconstrained matrix GNLS hierarchies. Zbl 0997.35082
Sorin, A. S.; Kersten, P. H. M. |
|
2002
|
The full structure of quantum \(N=2\) super-\(W_3^{(2)}\) algebra. Zbl 1022.81524
Ahn, C.; Krivonos, S.; Sorin, A. |
|
1995
|
Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures. Zbl 1126.37315
Gribanov, V. V.; Kadyshevsky, V. G.; Sorin, A. S. |
|
2005
|
Coset approach to the \(N=2\) supersymmetric matrix GNLS hierarchies. Zbl 0945.81012
Bonora, L.; Krivonos, S.; Sorin, A. |
|
1998
|
Coset approach to the \(N=2\) supersymmetric matrix GNLS hierarchies. Zbl 0948.81561
Bonora, L.; Krivonos, S.; Sorin, A. |
|
1998
|
The \(N=2\) supersymmetric Toda lattice hierarchy. Zbl 1047.81524
Bonora, L.; Sorin, A. |
|
1998
|
Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions. Zbl 0973.37043
Lechtenfeld, O.; Sorin, A. |
|
2000
|
A note on fermionic flows of the \(N=(1|1)\) supersymmetric Toda lattice hierarchy. Zbl 1062.37074
Lechtenfeld, O.; Sorin, A. S. |
|
2004
|
Integrable cosmological potentials. Zbl 1379.37107
Sokolov, V. V.; Sorin, A. S. |
|
2017
|
About the Coleman instantons in \(D\) dimensions. Zbl 1489.81027
Mukhanov, V. F.; Sorin, A. S. |
|
2022
|
Quantum fluctuations and new instantons. I: Linear unbounded potential. Zbl 1539.81110
Mukhanov, V. F.; Rabinovici, E.; Sorin, A. S. |
|
2021
|
Quantum fluctuations and new instantons. II: Quartic unbounded potential. Zbl 1537.81189
Mukhanov, V. F.; Rabinovici, E.; Sorin, A. S. |
|
2021
|
On the existence of the Coleman instantons. Zbl 1487.83043
Mukhanov, V. F.; Sorin, A. S. |
|
2021
|
Instantons with quantum core. Zbl 1495.83077
Mukhanov, V. F.; Sorin, A. S. |
|
2021
|
Bruhat order in the Toda system on \(\mathfrak{so}(2, 4)\): an example of non-split real form. Zbl 1416.37054
Chernyakov, Yu. B.; Sharygin, G. I.; Sorin, A. S. |
|
2019
|
Phase portraits of the full symmetric Toda systems on rank-2 groups. Zbl 1383.37045
Sorin, A. S.; Chernyakov, Yu. B.; Sharygin, G. I. |
|
2017
|
Integrable cosmological potentials. Zbl 1379.37107
Sokolov, V. V.; Sorin, A. S. |
|
2017
|
Minimal realization of \(\ell\)-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation. Zbl 1390.83246
Krivonos, Sergey; Lechtenfeld, Olaf; Sorin, Alexander |
|
2016
|
Hyperinstantons, the Beltrami equation, and triholomorphic maps. Zbl 1339.83072
Fré, P.; Grassi, P. A.; Sorin, A. S. |
|
2016
|
Bruhat order in the full symmetric \(\mathfrak{sl}_n\) Toda lattice on partial flag space. Zbl 1391.37045
Chernyakov, Yury B.; Sharygin, Georgy I.; Sorin, Alexander S. |
|
2016
|
The \(c\)-map, Tits Satake subalgebras and the search for \(\mathcal{N}=2\) inflaton potentials. Zbl 1338.83209
Fré, P.; Sorin, A. S.; Trigiante, M. |
|
2015
|
New method for constructing semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice. Zbl 1326.37044
Sorin, A. S.; Chernyakov, Yu. B. |
|
2015
|
2-branes with Arnold-Beltrami fluxes from minimal \(D=7\) supergravity. Zbl 1338.83176
Fré, P.; Sorin, A. S. |
|
2015
|
Bruhat order in full symmetric Toda system. Zbl 1305.37030
Chernyakov, Yu. B.; Sharygin, G. I.; Sorin, A. S. |
|
2014
|
On the gauged Kähler isometry in minimal supergravity models of inflation. Zbl 1338.83203
Ferrara, S.; Fré, P.; Sorin, A. S. |
|
2014
|
Integrable scalar cosmologies. II: Can they fit into gauged extended supergravity or be encoded in \(\mathcal{N}=1\) superpotentials? Zbl 1285.83010
Fré, P.; Sorin, A. S.; Trigiante, M. |
|
2014
|
Axial symmetric Kähler manifolds, the D-map of inflaton potentials and the Picard-Fuchs equation. Zbl 1338.83208
Fré, P.; Sorin, A. S. |
|
2014
|
Explicit semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice. Zbl 1333.37081
Chernyakov, Yury B.; Sorin, Alexander S. |
|
2014
|
On the topology of the inflaton field in minimal supergravity models. Zbl 1333.83234
Ferrara, Sergio; Fré, Pietro; Sorin, Alexander S. |
|
2014
|
Inflation and integrable one-field cosmologies embedded in rheonomic supergravity. Zbl 1338.83207
Fré, P.; Sorin, A. S. |
|
2014
|
Integrable scalar cosmologies. I: Foundations and links with string theory. Zbl 1285.83026
Fré, P.; Sagnotti, A.; Sorin, A. S. |
|
2013
|
Extremal multicenter black holes: nilpotent orbits and Tits Satake universality classes. Zbl 1342.83157
Fré, Pietro; Sorin, Alexander S. |
|
2013
|
Integrability of supergravity black holes and new tensor classifiers of regular and nilpotent orbits. Zbl 1348.83088
Fré, Pietro; Sorin, Alexander S.; Trigiante, Mario |
|
2012
|
Black holes in supergravity and integrability. Zbl 1291.81299
Chemissany, W.; Fré, P.; Rosseel, J.; Sorin, A. S.; Trigiante, M.; Van Riet, T. |
|
2010
|
The integration algorithm of Lax equation for both generic Lax matrices and generic initial conditions. Zbl 1204.81088
Chemissany, Wissam; Fré, Pietro; Sorin, Alexander S. |
|
2010
|
Supergravity black holes and billiards and the Liouville integrable structure associated with Borel algebras. Zbl 1271.83080
Fré, Pietro; Sorin, Alexander S. |
|
2010
|
The Weyl group and asymptotics: all supergravity billiards have a closed form general integral. Zbl 1194.83097
Fré, Pietro; Sorin, Alexander S. |
|
2009
|
Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics. Zbl 1150.82009
Kazakov, Vladimir; Sorin, Alexander; Zabrodin, Anton |
|
2008
|
Integrability of supergravity billiards and the generalized Toda lattice equations. Zbl 1119.83036
Fré, P.; Sorin, A. S. |
|
2006
|
On a geometric approach to the formulation of the standard model. Zbl 1173.83300
Kadyshevskij, V. G.; Matveev, M. D.; Rodionov, V. N.; Sorin, A. S. |
|
2006
|
Light-cone superstring field theory, \(pp\)-wave background and integrability properties. Zbl 1087.83063
Bonora, L.; Santos, R. J. Scherer; Sorin, A. S.; Tolla, D. D. |
|
2006
|
Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies. Zbl 1177.81059
Gribanov, V. V.; Kadyshevsky, V. G.; Sorin, A. S. |
|
2006
|
Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures. Zbl 1126.37315
Gribanov, V. V.; Kadyshevsky, V. G.; Sorin, A. S. |
|
2005
|
Cosmological backgrounds of superstring theory and solvable algebras: oxidation and branes. Zbl 1107.83320
Fré, P.; Gili, V.; Gargiulo, F.; Sorin, A.; Rulik, K.; Trigiante, M. |
|
2004
|
Generalized fermionic discrete Toda hierarchy. Zbl 1098.37065
Gribanov, V. V.; Kadyshevsky, V. G.; Sorin, A. S. |
|
2004
|
Deformation and recursion for the \(N=2\) \(\alpha=1\) supersymmetric KdV hierarchy. Zbl 1059.37057
Sorin, Alexander S.; Kersten, Paul H. M. |
|
2004
|
A note on fermionic flows of the \(N=(1|1)\) supersymmetric Toda lattice hierarchy. Zbl 1062.37074
Lechtenfeld, O.; Sorin, A. S. |
|
2004
|
Integrable structures in string field theory. Zbl 1006.81073
Bonora, L.; Sorin, A. S. |
|
2003
|
Bi-Hamiltonian structure of the \(N=2\) supersymmetric \(\alpha=1\) KdV hierarchy. Zbl 0997.37046
Kersten, P. H. M.; Sorin, A. S. |
|
2002
|
\(N=(1|1)\) supersymmetric dispersionless Toda lattice hierarchy. Zbl 1067.37112
Kadyshevsky, V. G.; Sorin, A. S. |
|
2002
|
Recursion operators on the \(N=2\) supersymmetric unconstrained matrix GNLS hierarchies. Zbl 1096.81508
Delduc, F.; Sorin, A. S. |
|
2002
|
The \(N=2\) supersymmetric unconstrained matrix GNLS hierarchies. Zbl 0997.35082
Sorin, A. S.; Kersten, P. H. M. |
|
2002
|
Chiral anomalies in noncommutative YM theories. Zbl 1021.81057
Bonora, L.; Sorin, A. |
|
2001
|
Supersymmetric Toda lattice hierarchies. Zbl 0980.37022
Kadyshevsky, V. G.; Sorin, A. S. |
|
2001
|
Integrable hierarchies and modern physical theories. Proceedings of the NATO advanced research Workshop, Chicago, IL, USA, July 22–26, 2000. Zbl 0964.00039
|
|
2001
|
Hidden \(N=(2|2)\) supersymmetry of the \(N=(1|1)\) supersymmetric Toda lattice hierarchy. Zbl 0979.35136
Lechtenfeld, O.; Sorin, A. |
|
2001
|
Real forms of the complex \(N=4\) supersymmetric Toda chain hierarchy in real \(N=2\) and \(N=4\) superspaces. Zbl 1056.81516
Delduc, F.; Sorin, A. |
|
2000
|
Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions. Zbl 0973.37043
Lechtenfeld, O.; Sorin, A. |
|
2000
|
Fermionic flows and tau function of the \(N=(1| 1)\) superconformal Toda lattice hierarchy. Zbl 1068.81607
Lechtenfeld, O.; Sorin, A. |
|
1999
|
\(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace. Zbl 0947.37047
Delduc, F.; Gallot, L.; Sorin, A. |
|
1999
|
Extended \(N=2\) supersymmetric matrix \((1,s)\)-KdV hierarchies. Zbl 0984.37080
Krivonos, S.; Sorin, A. |
|
1999
|
The \(N=2\) supersymmetric matrix GNLS hierarchies. Zbl 0913.35124
Bonora, L.; Krivonos, S.; Sorin, A. |
|
1998
|
The solution of the \(N=(0|2)\) superconformal \(f\)-Toda lattice. Zbl 0951.37023
Derjagin, V. B.; Leznov, A. N.; Sorin, A. |
|
1998
|
Coset approach to the \(N=2\) supersymmetric matrix GNLS hierarchies. Zbl 0945.81012
Bonora, L.; Krivonos, S.; Sorin, A. |
|
1998
|
Coset approach to the \(N=2\) supersymmetric matrix GNLS hierarchies. Zbl 0948.81561
Bonora, L.; Krivonos, S.; Sorin, A. |
|
1998
|
The \(N=2\) supersymmetric Toda lattice hierarchy. Zbl 1047.81524
Bonora, L.; Sorin, A. |
|
1998
|
Integrable mappings and hierarchies in the \((2|2)\) superspace. Zbl 0957.37517
Leznov, A. N.; Sorin, A. S. |
|
1997
|
\(N=2\) affine superalgebras and Hamiltonian reduction in \(N=2\) superspace. Zbl 0882.17012
Ahn, C.; Ivanov, E.; Sorin, A. |
|
1997
|
The Hamiltonian structure of the \(N=2\) supersymmetric GNLS hierarchy. Zbl 1054.37508
Bonora, L.; Sorin, A. |
|
1997
|
Towards the construction of \(N=2\) supersymmetric integrable hierarchies. Zbl 0925.81302
Bonora, L.; Krivonos, S.; Sorin, A. |
|
1996
|
More on the linearization of \(W\) algebras. Zbl 1044.81600
Krivonos, S.; Sorin, A. |
|
1996
|
On the super-NLS equation and its relation with the \(N=2\) super-KdV equation within the coset approach. Zbl 1020.37533
Krivonos, S.; Sorin, A.; Toppan, F. |
|
1995
|
\(N=2\) super-\(W^{(2)}_3\) algebra in superfields. Zbl 1022.81531
Ivanov, E.; Krivonos, S.; Sorin, A. |
|
1995
|
The full structure of quantum \(N=2\) super-\(W_3^{(2)}\) algebra. Zbl 1022.81524
Ahn, C.; Krivonos, S.; Sorin, A. |
|
1995
|