BV Formalism and Partition Functions
arXiv:2410.18285 · doi:10.21468/SciPostPhys.18.6.202
Abstract
The BV formalism is a well-established method for analyzing symmetries and quantization of field theories. In this paper we use the BV formalism to derive partition functions of gauge invariant operators up to equations of motions and their redundancies of selected theories. We discuss various interpretations of the results, some dualities and relation to first quantized models.
26 pages
References in corpus (31)
- Local BRST cohomology in gauge theories
- Counting Gauge Invariants: the Plethystic Program
- Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
- Operator bases, -matrices, and their partition functions
- Low-derivative operators of the Standard Model effective field theory via Hilbert series methods
- Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox
- Hilbert series and operator bases with derivatives in effective field theories
- SQCD: A Geometric Apercu
- Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
- On maximally supersymmetric Yang-Mills theories
- Coulomb branch Hilbert series and Hall-Littlewood polynomials
- Renormalization of Non-Semisimple Gauge Models with the Background Field Method
- A Ten-Dimensional Super-Yang-Mills Action with Off-Shell Supersymmetry
- Moduli space and structure of noncommutative 3-spheres
- 2, 12, 117, 1959, 45171, 1170086, ...: A Hilbert series for the QCD chiral Lagrangian
- Counting Gauge Invariant Operators in SQCD with Classical Gauge Groups
- The Character of Pure Spinors
- Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries
- Pure Spinor Partition Function and the Massive Superstring Spectrum
- Partition Functions of Pure Spinors
- Semi-Chiral Operators in 4d Gauge Theories
- A note on local BRST cohomology of Yang-Mills type theories with free abelian factors
- Constructing Operator Basis in Supersymmetry: A Hilbert Series Approach
- Representation theory of super Yang-Mills algebras
- Hochschild and cyclic homology of Yang-Mills algebras
- Algebraic structure of Yang-Mills theory
- Some remarks on representations of Yang-Mills algebras
- Quadratic algebras associated with exterior 3-forms
- On Superparticles and their Partition Functions
- Sen's Mechanism for Self-Dual Super Maxwell theory
- Yang-Mills algebra