58 citations · 494 across the 31 of their papers we have counts for
32 papers
Truncated Polyakov bootstrap
Kaushik Kangshabanik, Apratim Kaviraj, Shailesh Lal
We set up a truncated numerical approach in the Polyakov bootstrap (PB) framework. We employ a gradient descent optimization to solve PB sum rules numerically, and hence solve cros…
Machine Learning Topological Order from Defect Partition Functions
Kazem Bitaghsir Fadafan, Wei Cui, Babak Haghighat +1
We introduce a machine learning framework for extracting Ising topological order from defect partition functions of the two-dimensional Ising model on a torus. Restricted Boltzmann…
Deep Learning based discovery of Integrable Systems
Shailesh Lal, Suvajit Majumder, Evgeny Sobko
We introduce a novel machine learning based framework for discovering integrable models. Our approach first employs a synchronized ensemble of neural networks to find high-precisio…
The R-mAtrIx Net
Shailesh Lal, Suvajit Majumder, Evgeny Sobko
We provide a novel Neural Network architecture that can: i) output R-matrix for a given quantum integrable spin chain, ii) search for an integrable Hamiltonian and the correspondin…
Machine Learning Symmetry
Shailesh Lal
We review recent work in machine learning aspects of conformal field theory and Lie algebra representation theory using neural networks.
The World in a Grain of Sand: Condensing the String Vacuum Degeneracy
Yang-Hui He, Shailesh Lal, M. Zaid Zaz
We propose a novel approach toward the vacuum degeneracy problem of the string landscape, by finding an efficient measure of similarity amongst compactification scenarios. Using a…
Machine Learning Lie Structures & Applications to Physics
Heng-Yu Chen, Yang-Hui He, Shailesh Lal +1
Classical and exceptional Lie algebras and their representations are among the most important tools in the analysis of symmetry in physical systems. In this letter we show how the…
On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS
Shailesh Lal
We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin- conserved current organize themselves into corres…
Mixed Moments for the Product of Ginibre Matrices
Nick Halmagyi, Shailesh Lal
We study the ensemble of a product of n complex Gaussian i.i.d. matrices. We find this ensemble is Gaussian with a variance matrix which is averaged over a multi-Wishart ensemble.…
Machine Learning Etudes in Conformal Field Theories
Heng-Yu Chen, Yang-Hui He, Shailesh Lal +1
We demonstrate that various aspects of Conformal Field Theory are amenable to machine learning. Relatively modest feed-forward neural networks are able to distinguish between scale…
Character Integral Representation of Zeta function in AdS: II. Application to partially-massless higher-spin gravities
Thomas Basile, Euihun Joung, Shailesh Lal +1
We compute the one-loop free energies of the type-A and type-B higher-spin gravities in -dimensional anti-de Sitter (AdS) spacetime. For large and…
Character Integral Representation of Zeta function in AdS: I. Derivation of the general formula
Thomas Basile, Euihun Joung, Shailesh Lal +1
The zeta function of an arbitrary field in -dimensional anti-de Sitter (AdS) spacetime is expressed as an integral transform of the corresponding representation ch…
On the On-Shell: The Action of AdS Black Holes
Nick Halmagyi, Shailesh Lal
We compute the on-shell action of static, BPS black holes in AdS from gauged supergravity coupled to vector multiplets and show that it is equal to minus the entro…
On Exponentially Suppressed Corrections to BMPV Black Hole Entropy
Shailesh Lal, Prithvi Narayan
The microscopic formula for the degeneracy of BMPV black hole microstates contains a series of exponentially suppressed corrections to the leading Bekenstein Hawking expression. We…
Exploring Free Matrix CFT Holographies at One-Loop
Jin-Beom Bae, Euihun Joung, Shailesh Lal
We extend our recent study on the duality between stringy higher spin theories and free CFTs in the adjoint representation to other matrix models namely the free an…
Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
Imtak Jeon, Shailesh Lal
We compute logarithmic corrections to the entropy of a magnetically charged extremal black hole in AdS4 x S7 using the quantum entropy function and discuss the possibility of match…
One-Loop Free Energy of Tensionless Type IIB String in AdSS
Jin-Beom Bae, Euihun Joung, Shailesh Lal
Considering the zero 't Hooft coupling limit of super-Yang-Mills theory, the exact spectrum of all single-trace operators can be accessed in terms of the underlying $s…
A Note on Vectorial AdS/CFT Duality for Spin- Boundary Theory
Jin-Beom Bae, Euihun Joung, Shailesh Lal
The vectorial holographic correspondences between higher-spin theories in AdS and free vector models on the boundary are extended to the cases where the latter is described by…
On the Holography of Free Yang-Mills
Jin-Beom Bae, Euihun Joung, Shailesh Lal
We study the AdS/CFT duality where the boundary CFT is free Yang-Mills theory with gauge group SU(N). At the planar level we use the spectrum and correlation functions of t…
One-loop Test of Free SU(N) Adjoint Model Holography
Jin-Beom Bae, Euihun Joung, Shailesh Lal
We consider the holographic duality where the CFT side is given by adjoint free scalar field theory. Compared to the vector models, the set of single trace operators is imm…
Logarithmic Corrections to Twisted Indices from the Quantum Entropy Function
Abhishek Chowdhury, Rajesh Kumar Gupta, Shailesh Lal +2
We compute logarithmic corrections to the twisted index in four-dimensional and string theories using the framework of the Quantum Entropy F…
Logarithmic Corrections to Extremal Black Hole Entropy in N = 2, 4 and 8 Supergravity
Rajesh Kumar Gupta, Shailesh Lal, Somyadip Thakur
We compute the logarithmic correction to black hole entropy about exponentially suppressed saddle points of the Quantum Entropy Function corresponding to Z(N) orbifolds of the near…
Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy
Rajesh Kumar Gupta, Shailesh Lal, Somyadip Thakur
We develop new techniques to efficiently evaluate heat kernel coefficients for the Laplacian in the short-time expansion on spheres and hyperboloids with conical singularities. We…
CFT(4) Partition Functions and the Heat Kernel on AdS(5)
Shailesh Lal
We explicitly reorganise the partition function of an arbitrary CFT in four spacetime dimensions into a heat kernel form for the dual string spectrum on AdS(5). On very general gro…