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Generalized symmetries of topological field theories

open access: yesJournal of High Energy Physics, 2023
We study generalized symmetries in a simplified arena in which the usual quantum field theories of physics are replaced with topological field theories and the smooth structure with which the symmetry groups of physics are usually endowed is forgotten ...
Ben Gripaios   +2 more
doaj   +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 four loops and is shown to be unaffected by radiative corrections.
Vitor E. R. Lemes   +5 more
openaire   +3 more sources

Balanced Topological Field Theories [PDF]

open access: yesCommunications in Mathematical Physics, 1997
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. We show that these theories are closely related to the geometry and equivariant cohomology of ``iterated ...
Dijkgraaf, R.H., Moore, G.
exaly   +6 more sources

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

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   +2 more sources

Intrinsic sign problems in topological quantum field theories

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   +2 more sources

Non-local order parameters and quantum entanglement for fermionic topological field theories

open access: yesJournal of High Energy Physics, 2020
We study quantized non-local order parameters, constructed by using partial time-reversal and partial reflection, for fermionic topological phases of matter in one spatial dimension protected by an orientation reversing symmetry, using topological ...
Kansei Inamura   +2 more
doaj   +2 more sources

Topological defects in nonlocal field theories

open access: yesJournal of High Energy Physics, 2022
In this paper we study for the first time topological defects in the context of nonlocal field theories in which Lagrangians contain infinite-order differential operators. In particular, we analyze domain walls.
Luca Buoninfante   +2 more
doaj   +1 more source

Constrained topological field theory [PDF]

open access: yesPhysics Letters B, 1994
We derive a model of constrained topological gravity, a theory recently introduced by us through the twist of N=2 Liouville theory, starting from the general BRST algebra and imposing the moduli space constraint as a gauge fixing. To do this, it is necessary to introduce a formalism that allows a careful treatment of the global and the local degrees of
ANSELMI, DAMIANO   +3 more
openaire   +3 more sources

A Cellular Topological Field Theory [PDF]

open access: yesCommunications in Mathematical Physics, 2020
We present a construction of cellular BF theory (in both abelian and non-abelian variants) on cobordisms equipped with cellular decompositions. Partition functions of this theory are invariant under subdivisions, satisfy a version of the quantum master equation, and satisfy Atiyah–Segal-type gluing formula with respect to composition of cobordisms.
Cattaneo, Alberto S   +2 more
openaire   +4 more sources

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