Results 11 to 20 of about 210 (155)
Twin TQFTs and Frobenius Algebras [PDF]
Journal of Mathematics, 2013 We introduce the category of singular 2-dimensional cobordisms and show that it admits a completely algebraic description as the free symmetric monoidal category on atwin Frobenius algebra, by providing a description of this category in terms of generators and relations.
Carmen Caprau, Roberto A. Kraenkel
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Decorated TQFTs and their Hilbert spaces
Journal of High Energy Physics, 2023 We discuss topological quantum field theories that compute topological invariants which depend on additional structures (or decorations) on three-manifolds.
Mrunmay Jagadale
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Coupling a Cosmic String to a TQFT
Journal of High Energy PhysicsA common framework of particle physics consists of two sectors of particles, such as the Standard Model and a dark sector, with some interaction between them.
T. Daniel Brennan +2 more
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Universal Non‐Invertible Symmetries
Fortschritte der Physik, Volume 70, Issue 11, November 2022., 2022 Abstract It is well‐known that gauging a finite 0‐form symmetry in a quantum field theory leads to a dual symmetry generated by topological Wilson line defects. These are described by the representations of the 0‐form symmetry group which form a 1‐category.
Lakshya Bhardwaj +2 more
wiley +1 more source
Branes and Non‐Invertible Symmetries
Fortschritte der Physik, Volume 70, Issue 11, November 2022., 2022 Abstract N=4$\mathcal{N}=4$ supersymmetric Yang‐Mills theories with algebra so(4N)$\mathfrak {so}(4N)$ and appropriate choices of global structure can have non‐invertible symmetries. We identify the branes holographically dual to the non‐invertible symmetries, and derive the fusion rules for the symmetries from the worldvolume dynamics on the branes.
Iñaki García Etxebarria
wiley +1 more source
Resurgence analysis of quantum invariants of Seifert fibered homology spheres
Journal of the London Mathematical Society, Volume 105, Issue 2, Page 709-764, March 2022., 2022 Abstract For a Seifert fibered homology sphere X$X$, we show that the q$q$‐series invariant Ẑ0(X;q)$\hat{\operatorname{Z}}_0(X;q)$, introduced by Gukov–Pei–Putrov–Vafa, is a resummation of the Ohtsuki series Z0(X)$\operatorname{Z}_0(X)$. We show that for every even k∈N$k \in \mathbb {N}$ there exists a full asymptotic expansion of Ẑ0(X;q)$ \hat ...
Jørgen Ellegaard Andersen +1 more
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The anomaly that was not meant IIB
Fortschritte der Physik, Volume 70, Issue 1, January 2022., 2022 Abstract Type IIB supergravity enjoys a discrete non‐Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group that controls them, modulo some physically motivated assumptions.
Arun Debray +3 more
wiley +1 more source
Algebraic & Geometric Topology, 2004 We generalize the notion of parallel transport along paths for abelian bundles to parallel transport along surfaces for abelian gerbes using an embedded Topological Quantum Field Theory (TQFT) approach. We show both for bundles and gerbes with connection that there is a one-to-one correspondence between their local description in terms of locally ...
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Coupling a QFT to a TQFT and duality [PDF]
Journal of High Energy Physics, 2014 53 pages, harvmac.
Kapustin, Anton, Seiberg, Nathan
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Towards super Teichmuller spin TQFT
Advances in Theoretical and Mathematical Physics, 2022 39 pages, 12 figures, v2: typos ...
Aghaei, Nezhla +2 more
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