Dilaton shifts, probability measures, and decomposition

Abstract

In this paper we discuss dilaton shifts (Euler counterterms) arising in decomposition of two-dimensional quantum field theories with higher-form symmetries. These take a universal form, reflecting underlying (noninvertible, quantum) symmetries. The first part of this paper constructs a general formula for such dilaton shifts, and discusses related computations. In the second part of this paper, we comment on the relation between decomposition and ensembles.

67 pages, LaTeX

References in corpus (6)

• Entanglement constrained by superselection rules
• Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality
• Bethe/Gauge correspondence on curved spaces
• Undoing decomposition
• Decomposition in diverse dimensions
• Anomalies, Extensions and Orbifolds

Cited by in corpus (4)

• Hasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries
• Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs
• Notes on gauging noninvertible symmetries, part 2: higher multiplicity cases
• Decomposition squared