Results 21 to 30 of about 210 (155)
Bicategories for TQFTs with defects with structure
Journal of Knot Theory and Its Ramifications, 2022 We provide a description of adequate categorical data to give a Turaev–Viro type state-sum construct of invariants of 3-manifolds with a system of defects, generalizing the Dijkgraaf–Witten type invariants of our earlier work. We term the defects in our construction defects-with-structure because algebraic data associated to them is in general richer ...
I. J. Lee, D. N. Yetter
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Factorization homology and 4D TQFT
Quantum Topology, 2022 In 2010, B. Balsam and A. Kirillov, Jr. showed that the Turaev–Viro invariants defined for a spherical fusion category \mathcal{A} extends to invariants of 3-manifolds with corners. In 2021, A. Kirillov, Jr. described an equivalent formulation for the 2-1 part of the theory (2-manifolds
Kirillov, Alexander jun. +1 more
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Comments on one-form global symmetries and their gauging in 3d and 4d
SciPost Physics, 2019 We study 3d and 4d systems with a one-form global symmetry, explore their consequences, and analyze their gauging. For simplicity, we focus on $\mathbb{Z}_N$ one-form symmetries.
Po-Shen Hsin, Ho Tat Lam, Nathan Seiberg
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Dualities of 3D 𝒩 = 1 SQCD from Branes and non-SUSY deformations
Journal of High Energy Physics, 2023 We study the dynamics of an ‘electric’ 𝒩 = 1 3D U N c k , k + N c 2 $$ \textrm{U}{\left({N}_c\right)}_{k,k+\frac{N_c}{2}} $$ SQCD theory. By embedding the theory in string theory, we propose that the theory admits a ‘magnetic’ dual and analyse the low ...
Adi Armoni, Ricardo Stuardo
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Topological Defect Network Representations of Fracton Stabilizer Codes
PRX Quantum, 2023 A topological defect network (TDN) is formed by a network of topological defects embedded within a topological quantum field theory (TQFT). TDNs were introduced recently for the purpose of describing fracton topological phases of matter using the ...
Zijian Song +3 more
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Pin TQFT and Grassmann integral
Journal of High Energy Physics, 2019 We discuss a recipe to produce a lattice construction of fermionic phases of matter on unoriented manifolds. This is performed by extending the construction of spin TQFT via the Grassmann integral proposed by Gaiotto and Kapustin, to the unoriented pin ±
Ryohei Kobayashi
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Orbifolds of n–dimensional defect TQFTs [PDF]
Geometry & Topology, 2019 79 pages; v2: modified definition of stratified bordism category; v3: minor corrections and ...
Carqueville, Nils +2 more
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SUTURED TQFT, TORSION AND TORI [PDF]
International Journal of Mathematics, 2013 We use the theory of sutured TQFT to classify contact elements in the sutured Floer homology, with ℤ coefficients, of certain sutured manifolds of the form (Σ × S1, F × S1) where Σ is an annulus or punctured torus. Using this classification, we give a new proof that the contact invariant in sutured Floer homology with ℤ coefficients of a contact ...
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A classical approach to TQFT's
, 2002 72 pages, 7 ...
Picken, Roger, Semião, Paulo
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New anomalies, TQFTs, and confinement in bosonic chiral gauge theories
Journal of High Energy Physics, 2022 We study a class of 4-dimensional SU(N) chiral gauge theories with fermions in the 2-index symmetric and antisymmetric representations and classify their infrared phases.
Mohamed M. Anber +2 more
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