Raghav Govind Jha

Research Interests

My research is related to the study of supersymmetric gauge theories as non-perturbative formulations of superstring/M-theory via the gauge/gravity duality. I am interested in numerical studies of the maximally supersymmetric gauge theory using Monte Carlo simulations to predict results from the supergravity (SUGRA) side. This is a possible check of the AdS/CFT conjecture. This conjecture relates N=4 SYM in four dimensions and Type IIB string theory on AdS5 x S5. However, even when the field theory is non-conformal (in space-time dimensions not equal to four), there is still some region in the coupling space where the conjecture holds. I am also interested in exploring thermal phase structures of multi-matrix models (such as BMN). In recent years, I have started working on tensor networks methods to study lower-dimensional gauge theories such as SU(2) gauge-Higgs models and spin models exhibiting continuous or discrete symmetries such as 2d O(2)/XY, Ising model in a magnetic field, and interesting models with sign problems which are not tractable by Monte Carlo methods. I am interested and currently involved (in collaboration) in the computation of the glueball spectrum and hadron masses from the first-principle matrix model description of QCD.

Awards

• Henry Levinstein Fellowship for Outstanding Senior Graduate Student - Department of Physics, Syracuse University (2000 USD)
• CSIR/UGC-NET - Junior Research Fellowship (JRF) by Government of India (Renounced)
• Erasmus Mundus Scholarship for pursuing M.S (approx 15000 USD)
• KVPY (Kishore Vaigyanik Protsahan Yojana) Scholarship by Department of Science & Technology, Government of India (approx 3300 USD)

Recent Publications

• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes (https://arxiv.org/abs/2010.00026)
• Positive geometries for all scalar theories from twisted intersection theory (https://arxiv.org/abs/2006.15359)
• Critical analysis of two-dimensional classical XY model using tensor renormalization group (https://arxiv.org/abs/2004.06314)
• Finite N unitary matrix models (https://arxiv.org/abs/2003.00341)
• Tensor renormalization group study of the non-Abelian Higgs model in two dimensions (https://arxiv.org/abs/1901.11443)
• On the removal of the trace mode in lattice N = 4 super Yang-Mills theory (https://arxiv.org/abs/1808.04735)
• Nonperturbative study of dynamical SUSY breaking in N = (2, 2) Yang-Mills theory (https://arxiv.org/abs/1801.00012)
• Testing holography using the lattice with super-Yang-Mills theory on a 2-torus (https://arxiv.org/abs/1709.07025)
• Thermal phase structure of a supersymmetric matrix model (https://arxiv.org/abs/2003.01298)

Seminars

• New tool for old problems - Tensor network approach to spin models and gauge theories at University of Liverpool, UK -- October 14, 2020 [Online via Zoom due to COVID-19 pandemic]
• Tensor Networks: Algorithm & Applications -- Two lectures for CyberTraining Summer School 2020 at Rensselaer Polytechnic Institute, USA -- June 10 & 11, 2020
• "Numerical Holography" at Ashoka University, India -- August 28, 2019
• "Numerical Approaches to Holography" - DPS Seminar at Indian Institute of Science Education and Research (IISER), Mohali, India, India -- August 08, 2019
• Lattice gravity and scalar fields in Euclidean Dynamical Triangulation approach to Quantum Gravity -- Lattice 2018, Michigan, USA -- July 23, 2018
• Supersymmetry breaking and gauge/gravity duality on the lattice -- Lattice beyond Standard Model Conference 2018 at UC Boulder, Colorado -- April 6, 2018
• Recent results from lattice supersymmetry in 2 <= d < 4 dimensions at ICTS, Bangalore
• Testing holography through lattice simulations at Yukawa Institute for Theoretical Physics, Kyoto University, Japan
• PIRSA:19030108, Interdisciplinary Seminar: Holographic dualities and tensor renormalization group study of gauge theories, 2019-03-11, Quantum Fields and Strings