REVIEW 4 cited by
Topological Operators and Completeness of Spectrum in Discrete Gauge Theories
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
In many gauge theories, the existence of particles in every representation of the gauge group (also known as completeness of the spectrum) is equivalent to the absence of one-form global symmetries. However, this relation does not hold, for example, in the gauge theory of non-abelian finite groups. We refine this statement by considering topological operators that are not necessarily associated with any global symmetry. For discrete gauge theory in three spacetime dimensions, we show that completeness of the spectrum is equivalent to the absence of certain Gukov-Witten topological operators. We further extend our analysis to four and higher spacetime dimensions. Since topological operators are natural generalizations of global symmetries, we discuss evidence for their absence in a consistent theory of quantum gravity.
Forward citations
Cited by 4 Pith papers
-
Disjoint additivity and local quantum physics
Local quantum systems should obey disjoint additivity plus Haag duality, a combination that survives higher-form symmetries and fails for known nonlocal constructions.
-
Non-invertible symmetries in the axiverse, and the imaginary wormholes
Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.
-
A Matrix Theory Construction of the IIA/IIB Wall
A lightlike IIA/IIB domain wall is constructed at zero string coupling by gauging (−1)^{F_L} in matrix string theory, turning BPS IIA D0-branes into non-BPS IIB D0-branes.
-
Twisted Partition Functions as Order Parameters
Twisted partition functions work as an order parameter that separates broken-symmetry, symmetry-protected, and symmetry-enriched phases, reproduce the Wilson-'t Hooft classification in 4d gauge theories, and tie U(1) ...
Discussion (0). Sign in to comment.