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Topological field theories and symmetry protected topological phases with fusion category symmetries [PDF]

open access: yesJournal of High Energy Physics, 2021
Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topological (SPT) phases with fusion category symmetry by using topological ...
Kansei Inamura
doaj   +4 more sources

Balanced Topological Field Theories [PDF]

open access: yesCommunications in Mathematical Physics, 1996
We describe a class of topological field theories called ``balanced topological field theories.'' These theories are associated to moduli problems with vanishing virtual dimension and calculate the Euler character of various moduli spaces.
Dijkgraaf, R., Moore, G.
core   +11 more sources

Intrinsic sign problems in topological quantum field theories [PDF]

open access: yesPhysical Review Research, 2020
The sign problem is a widespread numerical hurdle preventing us from simulating the equilibrium behavior of various problems at the forefront of physics.
Adam Smith, Omri Golan, Zohar Ringel
doaj   +4 more sources

D-Branes and Topological Field Theories [PDF]

open access: yesNuclear Physics B, 1995
In the presence of a D-brane a string theory develops a new subsector. We show that for curved D-branes the corresponding sector is a (partially twisted) topological field theory.
Bershadsky   +19 more
core   +5 more sources

Boundary Conditions for Topological Quantum Field Theories, Anomalies and Projective Modular Functors [PDF]

open access: yes, 2015
We study boundary conditions for extended topological quantum field theories (TQFTs) and their relation to topological anomalies. We introduce the notion of TQFTs with moduli level $m$, and describe extended anomalous theories as natural transformations ...
Fiorenza, Domenico   +1 more
core   +7 more sources

Invertible topological field theories [PDF]

open access: yesJournal of Topology, 2017
A d$d$ ‐dimensional invertible topological field theory (TFT) is a functor from the symmetric monoidal (∞,n)$(\infty,n)$ ‐category of d$d$ ‐bordisms (embedded into R∞$\mathbb {R}^\infty$ and equipped with a tangential (X,ξ)$(X,\xi)$ ‐structure) that ...
Christopher J. Schommer-Pries
semanticscholar   +4 more sources

Untwisting Topological Field Theories [PDF]

open access: yesGauge Theories, Applied Supersymmetry and Quantum Gravity II, 1996
A method is presented by which a hidden N=2 superconformal symmetry can be exhibited in a string theory or indeed in a topological conformal field theory.
Figueroa-O'Farrill, J. M.
core   +4 more sources

Perturbing Topological Field Theories [PDF]

open access: yesPhysical Review D, 1999
The abelian Chern-Simons theory is perturbed by introducing local gauge-invariant interaction terms depending on the curvature. The computation of the correlation function of two Wilson lines for two smooth closed nonintersecting curves is reported up to
A. M. Polyakov   +25 more
core   +2 more sources

On Dubrovin Topological Field Theories [PDF]

open access: yesModern Physics Letters A, 1993
I show that the new topological field theories recently associated by Dubrovin with each Coxeter group may be all obtained in a simple way by a ``restriction'' of the standard ADE solutions. I then study the Chebichev specializations of these topological
Zuber, J. -B.
core   +2 more sources

Orbifold Construction for Topological Field Theories [PDF]

open access: yesJournal of Pure and Applied Algebra, 2018
An equivariant topological field theory is defined on a cobordism category of manifolds with principal fiber bundles for a fixed (finite) structure group. We provide a geometric construction which for any given morphism $G \to H$ of finite groups assigns
Schweigert, Christoph, Woike, Lukas
core   +2 more sources

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