A Bethe Ansatz type formula for the superconformal index
arXiv:1811.04107 · doi:10.1007/s00220-019-03679-y
Abstract
Inspired by recent work by Closset, Kim and Willett, we derive a new formula for the superconformal (or supersymmetric) index of 4d N=1 theories. Such a formula is a finite sum, over the solution set of certain transcendental equations that we dub Bethe Ansatz Equations, of a function evaluated at those solutions.
arXiv comment24 pages; v2: typos corrected, refs and clarifications added; v3: typos corrected, new appendix C
References in corpus (28)
- Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
- An Index for 4 dimensional Super Conformal Theories
- Counting chiral primaries in N=1 d=4 superconformal field theories
- General supersymmetric AdS5 black holes
- General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
- The Hagedorn Transition, Deconfinement and N=4 SYM Theory
- Partition functions of N=(2,2) gauge theories on S^2 and vortices
- Black hole microstates in AdS from supersymmetric localization
- Supersymmetric AdS5 black holes
- Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
- Localization techniques in quantum field theories
- supersymmetric indices and the four-dimensional A-model
- Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS black holes
- A topologically twisted index for three-dimensional supersymmetric theories
- Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
- Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
- Supersymmetric multi-charge AdS_5 black holes
- Comments on twisted indices in 3d supersymmetric gauge theories
- Localization on Hopf surfaces
- Exact microstate counting for dyonic black holes in AdS4
- The elliptic gamma function and SL(3,Z) x Z^3
- Higgs branch localization in three dimensions
- Supersymmetric partition functions and the three-dimensional A-twist
- The Chiral Multiplet on and Supersymmetric Localization
- Seifert fibering operators in 3d theories
- Bethe/Gauge correspondence on curved spaces
- Supersymmetric Casimir Energy and the Anomaly Polynomial
- Large AdS black holes from QFT
Cited by in corpus (29)
- Lectures on AdS Black Holes, Holography and Localization
- Supersymmetric phases of 4d N=4 SYM at large N
- Asymptotic growth of the 4d index and partially deconfined phases
- A gravity interpretation for the Bethe Ansatz expansion of the SYM index
- Sub-leading Structures in Superconformal Indices: Subdominant Saddles and Logarithmic Contributions
- Superconformal indices at large and the entropy of AdS SE black holes
- Residues, modularity, and the Cardy limit of the 4d superconformal index
- Delayed Deconfinement and the Hawking-Page Transition
- The large- limit of the 4d superconformal index
- Entropy function from toric geometry
- The exact Schur index in closed form
- Gauge/Bethe correspondence from quiver BPS algebras
- Superconformal index of low-rank gauge theories via the Bethe Ansatz
- Supersymmetric phases of AdS/CFT
- Decomposition of BPS Moduli Spaces and Asymptotics of Supersymmetric Partition Functions
- Exact QFT duals of AdS black holes
- The joy of factorization at large : five-dimensional indices and AdS black holes
- Quantum Phases of SYM
- Toward an Effective CFT from Super Yang-Mills and Aspects of Hawking Radiation
- From multi-gravitons to Black holes: The role of complex saddles
- Supersymmetric Grey Galaxies, Dual Dressed Black Holes and the Superconformal Index
- The large- limit of 4d superconformal indices for general BPS charges
- The superconformal index of and SYM as a matrix integral
- Expanding on the Cardy-like limit of the superconformal index of 4d ABCD SCFTs
- Subleading corrections to the free energy in a theory with scaling
- Confinement and Graded Partition Functions for SYM
- Kerr-Newman black holes from
- Wrapped M5-branes and AdS Black Holes
- Hawking-Page transition on a spin chain