Dilaton shifts, probability measures, and decomposition
arXiv:2312.08438 · doi:10.1088/1751-8121/ad8196
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.
arXiv comment67 pages, LaTeX
References in corpus (56)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Generalized gravitational entropy
- On Geometric Entropy
- Two Dimensional Gauge Theories Revisited
- Remarks on entanglement entropy for gauge fields
- On finite symmetries and their gauging in two dimensions
- Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
- Symmetries and Strings of Adjoint QCD
- Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
- Finite Group Modular Data
- Entanglement entropy and nonabelian gauge symmetry
- Cluster decomposition, T-duality, and gerby CFT's
- GLSM's for gerbes (and other toric stacks)
- Asymptotic density of states in 2d CFTs with non-invertible symmetries
- Construction of two-dimensional topological field theories with non-invertible symmetries
- Entanglement constrained by superselection rules
- Non-birational twisted derived equivalences in abelian GLSMs
- String compactifications on Calabi-Yau stacks
- Supersymmetric Renyi Entropy
- Modified instanton sum in QCD and higher-groups
- Non-invertible 1-form symmetry and Casimir scaling in 2d Yang-Mills theory
- On the 6d origin of discrete additional data of 4d gauge theories
- Entanglement entropy and superselection sectors I. Global symmetries
- Lattice Topological Field Theory in Two Dimensions
- Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond -ality
- Bethe/Gauge correspondence on curved spaces
- Sums over topological sectors and quantization of Fayet-Iliopoulos parameters
- New Methods for Characterizing Phases of 2D Supersymmetric Gauge Theories
- Matrix ensembles with global symmetries and 't Hooft anomalies from 2d gauge theory
- High Energy Modular Bootstrap, Global Symmetries and Defects
- Entanglement branes in a two-dimensional string theory
- --Topological Field Theories by Cosetting
- Undoing decomposition
- Linear Sigma Models With Strongly Coupled Phases -- One Parameter Models
- Lifetimes of (near) eternal false vacua
- Classification and construction of unitary topological field theories in two dimensions
- Decomposition in diverse dimensions
- A Note on the Equivalence of Vafa's and Douglas's Picture of Discrete Torsion
- Entanglement branes, modular flow, and extended topological quantum field theory
- Heterotic compactifications with principal bundles for general groups and general levels
- Orbifolds by 2-groups and decomposition
- Lattice Topological Field Theory on Non-Orientable Surfaces
- Supersymmetric Rényi Entropy and Defect Operators
- Anomalies, Extensions and Orbifolds
- Combinatoric topological string theories and group theory algorithms
- Entropic order parameters in weakly coupled gauge theories
- Integrality, Duality and Finiteness in Combinatoric Topological Strings
- Categorical Equivalence and the Renormalization Group
- Comments on Summing over Bordisms in TQFT
- 2d TQFT and baby universes
- Two-dimensional gauge dynamics and the topology of singular determinantal varieties
- Decomposition in Chern-Simons theories in three dimensions
- Topological string entanglement
- Three-dimensional orbifolds by 2-groups
- McKay quivers and decomposition
- The volume of the moduli space of flat connections on a nonorientable 2-manifold