The 4d superconformal index near roots of unity and 3d Chern-Simons theory

@article{Ardehali2021The4S,
  title={The 4d superconformal index near roots of unity and 3d Chern-Simons theory},
  author={Arash Arabi Ardehali and S. K. Narasimha Murthy},
  journal={Journal of High Energy Physics},
  year={2021}
}
Abstract We consider the S3×S1 superconformal index ℐ(τ) of 4d $$ \mathcal{N} $$ N = 1 gauge theories. The Hamiltonian index is defined in a standard manner as the Witten index with a chemical potential τ coupled to a combination of angular momenta on S3 and the U(1) R-charge. We develop the all-order asymptotic expansion of the index as q = e2πiτ approaches a root of unity, i.e. as $$ \overset{\sim }{\tau } $$ τ ~ ≡ mτ+n → 0, with m, n relatively prime integers. The asymptotic… 
SL(3, ℤ) Modularity and New Cardy limits of the $$ \mathcal{N} $$ = 4 superconformal index
Abstract The entropy of 1/16-th BPS AdS5 black holes can be microscopically accounted for by the superconformal index of the $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory. One way to compute
Gravity interpretation for the Bethe Ansatz expansion of the N=4 SYM index
The superconformal index of the $\mathcal{N}=4$ $SU(N)$ supersymmetric Yang-Mills theory counts the 1/16-BPS states in this theory, and has been used via the AdS/CFT correspondence to count black
On the 4d superconformal index near roots of unity: Bulk and Localized contributions
This paper studies one particular approach to the expansion near roots of unity of the superconformal index of 4d SU(N) N = 4 SYM. In such a limit, middledimensional walls of non-analyticity emerge
BPS and near-BPS black holes in $AdS_5$ and their spectrum in $\mathcal{N}=4$ SYM
We study quantum corrections in the gravitational path integral around nearly 1/16-BPS black holes in asymptotically AdS5 × S space, dual to heavy states in 4D N = 4 super YangMills. The analysis
Decomposition of BPS moduli spaces and asymptotics of supersymmetric partition functions
We present a prototype for Wilsonian analysis of asymptotics of supersymmetric partition functions of non-abelian gauge theories. Localization allows expressing such partition functions as an
Logarithmic corrections to the entropy of rotating black holes and black strings in AdS5
Abstract We investigate logarithmic corrections to the entropy of supersymmetric, rotating, asymptotically AdS5 black holes and black strings. Within the framework of the AdS/CFT correspondence, the
Anomaly Matching Across Dimensions and Supersymmetric Cardy Formulae
’t Hooft anomalies are known to induce specific contributions to the effective action at finite temperature. We present a general method to directly calculate such contributions from the anomaly
Prepared for submission to JHEP Quantum Phases of 4 d SU ( N ) N = 4 SYM
It is argued that 4d SU(N) N = 4 SYM has an accumulation line of zerotemperature topologically ordered phases. Each of these phases corresponds to N boundstates forming a representation of a Z N
The large-$N$ limit of 4d superconformal indices for general BPS charges
We study the superconformal index of N = 1 quiver theories at large -N for general values of electric charges and angular momenta, using both the Bethe Ansatz formulation and the more recent elliptic
The topologically twisted index of $$ \mathcal{N} $$ = 4 SU(N) Super-Yang-Mills theory and a black hole Farey tail
  • Junho Hong
  • Mathematics
    Journal of High Energy Physics
  • 2021
Abstract We investigate the large-N asymptotics of the topologically twisted index of $$ \mathcal{N} $$ N = 4 SU(N) Super-Yang-Mills (SYM) theory on T2 × S2 and provide its holographic
...
...

References

SHOWING 1-10 OF 101 REFERENCES
High-temperature asymptotics of supersymmetric partition functions
A bstractWe study the supersymmetric partition function of 4d supersymmetric gauge theories with a U(1) R-symmetry on Euclidean S3 × Sβ1, with S3 the unit-radius squashed three-sphere, and β the
The complete superconformal index for N=6 Chern–Simons theory
4d Index to 3d Index and 2d TQFT
We compute the 4d superconformal index for N = 1, 2 gauge theories on S × L(p, 1), where L(p, 1) is a lens space. We find that the 4d N = 1, 2 index on S × L(p, 1) reduces to a 3d N = 2, 4 index on S
Reducing the 4d index to the S3 partition function
A bstractThe superconformal index of a 4d gauge theory is computed by a matrix integral arising from localization of the supersymmetric path integral on S3 × S1. As the radius of the circle goes to
Relation between the 4d superconformal index and the S3 partition function
A relation between the 4d superconformal index and the S3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and
Cardy formula for 4d SUSY theories and localization
A bstractWe study 4d N=1$$ \mathcal{N}=1 $$ supersymmetric theories on a compact Euclidean manifold of the form S1 × ℳ3. Partition functions of gauge theories on this background can be computed using
The asymptotic growth of states of the 4d N = 1 superconformal index
  • JHEP 08
  • 2019
Asymptotic growth of the 4d N = 4 index and partially deconfined phases
  • JHEP 07
  • 2020
...
...