Found 75 Documents (Results 1–75)
Constant curvature holomorphic solutions of the supersymmetric \(G(2, 4)\) sigma model. (English) Zbl 1471.81071
Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 91-100 (2021).
The Veronese sequence of analytic solutions of the \(\mathbb C P^{2s}\) sigma model equations described via Krawtchouk polynomials. (English) Zbl 1471.81063
Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 57-65 (2021).
Classically integrable non-linear sigma models and their geometric properties. (English) Zbl 1468.53079
Biharmonic and harmonic homomorphisms between Riemannian three dimensional unimodular Lie groups. (English) Zbl 1464.53068
Harmonic maps and shift-invariant subspaces. (English) Zbl 1487.58009
Reviewer: Antonio Masiello (Bari)
Rogue breather modes: topological sectors, and the ‘belt-trick’, in a one-dimensional ferromagnetic spin chain. (English) Zbl 1448.82026
Analysis of \(\mathbb{C}P^{N-1}\) sigma models via soliton surfaces. (English) Zbl 1425.81073
Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 341-357 (2019).
\(\mathbb{C}P^{2S}\) sigma models described through hypergeometric orthogonal polynomials. (English) Zbl 1423.81170
Harmonic maps into the orthogonal group and null curves. (English) Zbl 1425.53075
Reviewer: Dumitru Motreanu (Perpignan)
Self-dual effective compact and true compacton configurations in generalized abelian Higgs models. (English) Zbl 1404.81167
MSC:
81T10
81T80
Holomorphic solutions of the susy Grassmannian \(\sigma\)-model and gauge invariance. (English) Zbl 1390.81327
On a stack of surfaces obtained from the \(\mathbb{C}P^{N-1}\) sigma models. (English) Zbl 1386.53008
\(\mathbb CP^{N}\) sigma models via the \(\mathbf{SU}(2)\) coherent states approach. (English) Zbl 1414.53051
Fialowski, Alice (ed.) et al., 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 113, 169-191 (2017).
Reviewer: Stefano Montaldo (Cagliari)
On the dimension of solution spaces of a noncommutative sigma model in the case of uniton number 2. (English. Russian original) Zbl 06844178
Proc. Steklov Inst. Math. 298, 104-117 (2017); translation from Tr. Mat. Inst. Steklova 298, 112-126 (2017).
Properties of soliton surfaces associated with integrable \(\mathbb{C}P^{N-1}\) sigma models. (English) Zbl 1373.81274
Non-BPS exact solutions and their relation to bions in \(\mathbb C\mathbb P^{N-1}\) models. (English) Zbl 1388.81222
MSC:
81R12
The \(\Lambda_{2}\) limit of massive gravity. (English) Zbl 1388.83608
MSC:
83D05
General solutions of the supersymmetric \(\mathbb{CP}^{2}\) sigma model and its generalisation to \(\mathbb{CP}^{N - 1}\). (English) Zbl 1332.81116
Resurgence and dynamics of \(\mathrm{O}(N)\) and Grassmannian sigma models. (English) Zbl 1388.81407
MSC:
81T20
Fractional instantons and bions in the \(\mathrm{O}(N)\) model with twisted boundary conditions. (English) Zbl 1387.81389
Constant curvature surfaces of the supersymmetric \(\mathbb{C}P^{N-1}\) sigma model. (English) Zbl 1320.81074
Reviewer: Yang-Hui He (London)
Magnetic maps. (English) Zbl 1317.53024
Reviewer: Fortuné Massamba (Pietermaritzburg)
Constant curvature solutions of Grassmannian sigma models. II: Non-holomorphic solutions. (English) Zbl 1286.53066
Reviewer: Eleutherius Symeonidis (Bucureşti)
Resurgence and trans-series in quantum field theory: the \(\mathbb{C}{{\mathbb{P}}^{N-1}}\) model. (English) Zbl 1397.81173
Filtrations, factorizations and explicit formulae for harmonic maps. (English) Zbl 1243.58010
Reviewer: Vladimir Balan (Bucureşti)
Some properties of (3 + 1) dimensional vortex solutions in the extended \(\mathbb C\mathbb P^{N}\) Skyrme-Faddeev model. (English) Zbl 1306.81056
Canonical surfaces associated with projectors in Grassmannian sigma models. (English) Zbl 1314.58007
Discrete baby and three-dimensional skyrmions. (English. Russian original) Zbl 1175.81204
Theor. Math. Phys. 160, No. 1, 945-951 (2009); translation from Teor. Mat. Fiz. 160, No. 1, 84-92 (2009).
Moduli spaces of solutions of a noncommutative sigma model. (English. Russian original) Zbl 1155.81352
Theor. Math. Phys. 156, No. 3, 1231-1246 (2008); translation from Teor. Mat. Fiz. 156, No. 3, 307-327 (2008).
MSC:
81T10
Noncommutative unitons. (English. Russian original) Zbl 1148.81022
Theor. Math. Phys. 154, No. 2, 184-200 (2008); translation from Teor. Mat. Fiz. 154, No. 2, 220-239 (2008).
Sigma models with \({\mathcal N}=8\) supersymmetries in \(2+1\) and \(1+1\) dimensions. (English) Zbl 1248.81241
MSC:
81T60
Surfaces in \(\mathbb R^{N^2-1}\) based on harmonic maps \(S^2\to \mathbb{CP}^{N-1}\). (English) Zbl 1153.81454
MSC:
53C43
Noncommutative Grassmannian \(U(1)\) sigma model and a Bargmann-Fock space. (English. Russian original) Zbl 1144.81475
Theor. Math. Phys. 153, No. 3, 1643-1651 (2007); translation from Teor. Mat. Fiz. 153, No. 3, 347-357 (2007).
The generalized Weierstrass system for nonconstant mean curvature surfaces and the nonlinear sigma model. (English) Zbl 1105.35100
Reviewer: Messoud A. Efendiev (Berlin)
Description of surfaces associated with \({\mathbb C} P^{N-1}\) sigma models on Minkowski space. (English) Zbl 1092.53044
Reviewer: Otto Röschel (Graz)
Fuzzy Nambu-Goldstone physics. (English) Zbl 1080.81534
On certain geometric aspects of \(\mathbb{C} P^N\) harmonic maps. (English) Zbl 1061.53044
J. Math. Phys. 44, No. 2, 813-822 (2003); publisher’s note ibid. 44, No. 6, 2723 (2003).
On vortex solutions and links between the Weierstrass system and the complex sine-Gordon equations. (English) Zbl 1040.35090
On \(\mathbb{C} P^1\) and \(\mathbb{C} P^2\) maps and Weierstrass representations for surfaces immersed into multi-dimensional Euclidean spaces. (English) Zbl 1038.53064
Reviewer: Stefano Montaldo (Cagliari)
Solutions of the generalized Weierstrass representation in four-dimensional Euclidean space. (English) Zbl 1061.35087
Projective modules of finite type and monopoles over \(S^2\). (English) Zbl 0977.55011
Reviewer: Jesus Muciño-Raymundo (Morelia)
Links between different analytic descriptions of constant mean curvature surfaces. (English) Zbl 0961.53006
Reviewer: I.A.Taimanov (Novosibirsk)
Large \(N\) field theory of \(\mathcal N=2\) strings and self-dual gravity. (English) Zbl 0997.81104
On certain classes of solutions of the Weierstrass-Enneper system inducing constant mean curvature surfaces. (English) Zbl 0967.53005
Reviewer: I.A.Taimanov (Novosibirsk)
Modification of the topological expansion of the O(3) sigma model. (English) Zbl 1004.81519
MSC:
81T13
Ferretti-Rajeev term and homotopy theory. (English) Zbl 0810.53062
Reviewer: S.Misicu (Bucureşti)
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