Found 78 Documents (Results 1–78)
Quantum double models coupled to matter fields: a detailed review for a dualization procedure. (English) Zbl 1527.81064
Quantum field theoretic representation of Wilson surfaces. II: Higher topological coadjoint orbit model. (English) Zbl 1540.81142
Quantum field theoretic representation of Wilson surfaces. I: Higher coadjoint orbit theory. (English) Zbl 1534.81152
Multiplicative vector fields on bundle gerbes. (English) Zbl 1505.53035
Reviewer: Cheng-Yong Du (Chengdu)
Atiyah sequence and gauge transformations of a principal 2-bundle over a Lie groupoid. (English) Zbl 1493.53034
Why not categorical equivalence? (English) Zbl 1481.00016
Madarász, Judit (ed.) et al., Hajnal Andréka and István Németi on unity of science. From computing to relativity theory through algebraic logic. Cham: Springer. Outst. Contrib. Log. 19, 427-451 (2021).
Reviewer: Robert Dawson (Halifax)
2-group global symmetries and anomalies in six-dimensional quantum field theories. (English) Zbl 1462.81128
Dynamical generalization of Yetter’s model based on a crossed module of discrete groups. (English) Zbl 1461.81051
On two notions of a gerbe over a stack. (English) Zbl 1453.14003
Reviewer: Hirokazu Nishimura (Tsukuba)
Higher lattices, discrete two-dimensional holonomy and topological phases in \((3+1)\) d with higher gauge symmetry. (English) Zbl 1444.81036
Operational total space theory of principal 2-bundles I: operational geometric framework. (English) Zbl 1447.81167
Operational total space theory of principal 2-bundles II: 2-connections and 1- and 2-gauge transformations. (English) Zbl 1447.81166
Integrable 3D statistical models on six-valent graphs. (English. Russian original) Zbl 1434.82018
Proc. Steklov Inst. Math. 302, 198-216 (2018); translation from Tr. Mat. Inst. Steklova 302, 214-233 (2018).
Reviewer: Hasan Akin (Gaziantep)
Gauge transformations for categorical bundles. (English) Zbl 1402.18007
Reviewer: Hirokazu Nishimura (Tsukuba)
MSC:
18D05
20C99
Basic equivariant gerbes on non-simply connected compact simple Lie groups. (English) Zbl 1398.53031
MSC:
53C08
The first Pontryagin class of a quadratic Lie 2-algebroid. (English) Zbl 1397.22003
Reviewer: Angela Gammella-Mathieu (Metz)
MSC:
22A22
The 2-Hilbert space of a prequantum bundle gerbe. (English) Zbl 1478.81021
Reviewer: Michael McBreen (Scarsdale)
Higher symmetry and gapped phases of gauge theories. (English) Zbl 1385.81034
Auroux, Denis (ed.) et al., Algebra, geometry, and physics in the 21st century. Kontsevich Festschrift. Basel: Birkhäuser/Springer (ISBN 978-3-319-59938-0/hbk; 978-3-319-59939-7/ebook). Progress in Mathematics 324, 177-202 (2017).
Algebraic formulation of higher gauge theory. (English) Zbl 1371.81204
Reviewer: Wolfgang G. Hollik (Hamburg)
\(L_\infty\)-algebra models and higher Chern-Simons theories. (English) Zbl 1353.81098
Reviewer: Akira Asada (Takarazuka)
On higher holonomy invariants in higher gauge theory. I. (English) Zbl 1364.81196
Reviewer: Vida Milani (North Logan)
A Lie based 4-dimensional higher Chern-Simons theory. (English) Zbl 1342.81324
Reviewer: Akira Asada (Takarazuka)
Integrating central extensions of Lie algebras via Lie 2-groups. (English) Zbl 1344.22009
Reviewer: Volodymyr Mazorchuk (Uppsala)
Geodesics on path spaces and double category. (English) Zbl 1335.53051
Reviewer: Benjamin McKay (Cork)
Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy. (English) Zbl 1332.57029
Reviewer: J. N. Alonso Alvarez (Vigo)
MSC:
57T05
Twisted-product categorical bundles. (English) Zbl 1339.18005
Reviewer: S. Moskaliuk (Kyiv)
MSC:
18D05
20C99
Higher abelian Dijkgraaf-Witten theory. (English) Zbl 1327.81279
MSC:
81T45
Infinitesimal 2-braidings and differential crossed modules. (English) Zbl 1344.18005
Reviewer: Friedrich Wagemann (Nantes)
Topology, rigid cosymmetries and linearization instability in higher gauge theories. (English) Zbl 1315.35217
Reviewer: Anthony D. Osborne (Keele)
Double category related to path space parallel transport and representations of Lie 2 groups. (English) Zbl 1321.81029
Makhlouf, Abdenacer (ed.) et al., Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-55360-8/hbk; 978-3-642-55361-5/ebook). Springer Proceedings in Mathematics & Statistics 85, 379-391 (2014).
Six-dimensional superconformal field theories from principal 3-bundles over twistor space. (English) Zbl 1306.53037
On 3-gauge transformations, 3-curvatures, and Gray-categories. (English) Zbl 1300.81065
Reviewer: Sergiy Koshkin (Houston)
Non-abelian tensor multiplet equations from twistor space. (English) Zbl 1298.81327
Reviewer: Martin Schlichenmaier (Luxembourg)
Integration of Lie 2-algebras and their morphisms. (English) Zbl 1335.17008
Reviewer: Béchir Dali (Zarzouna Bizerte)
Equivariant holonomy for bundles and abelian gerbes. (English) Zbl 1254.53048
Reviewer: Ioan Pop (Iaşi)
Convenient categories of smooth spaces. (English) Zbl 1237.58006
Reviewer: Eugen Pascu (Montréal)
An invitation to higher gauge theory. (English) Zbl 1225.83001
Reviewer: Hirokazu Nishimura (Tsukuba)
Surface holonomy for non-Abelian 2-bundles via double groupoids. (English) Zbl 1214.53043
Reviewer: Agostino Prástaro (Roma)
On two-dimensional holonomy. (English) Zbl 1209.53038
Reviewer: Jie Wu (Singapore)
MSC:
53C29
18D05
Closed non-Abelian strings. (English) Zbl 1194.81206
AQFT from \(n\)-functorial QFT. (English) Zbl 1181.81099
Reviewer: Gert Roepstorff (Aachen)
The classifying space of a topological 2-group. (English) Zbl 1182.55015
Baas, Nils A. (ed.) et al., Algebraic topology. The Abel symposium 2007. Proceedings of the fourth Abel symposium, Oslo, Norway, August 5–10, 2007. Berlin: Springer (ISBN 978-3-642-01199-3/hbk; 978-3-642-01200-6/ebook). Abel Symposia 4, 1-31 (2009).
Reviewer: Richard John Steiner (Glasgow)
Algebraic definition of nonstrict cells. (Definition algebrique des cellules non strictes.) (French. English summary) Zbl 1202.18004
Reviewer: Serguei V. Solov’ev (Toulouse)
MSC:
18D05
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