Quantum Fields and Strings

I will present a complex matrix model (CMM) for the computation of protected two-point and three-point correlation functions of 1/2-BPS operators. The model can be efficiently studied in large N limit for huge operators (with dimensions ~N^2). An advantage of this approach is the direct…

Important BPS quantities, including central charges, black hole entropy and the on-shell action, can be computed for supersymmetric solutions of supergravity without ever solving the Einstein equations or the Killing spinor equations. Instead one exploits the fact that the solutions have a Killing…

In this talk I'll explain how to take a well-defined flat-space limit of brane models of AdS coupled to a non-gravitating bath. In the dual BCFT this amounts to a triple-scaling limit where both the number of boundary degrees of freedom and the boundary coupling are taken to infinity while the BCFT…

In this talk, I will describe recent work on holographic correspondences in spacetimes which interpolate from anti-de Sitter space in the deep bulk to asymptotic regions which share some properties with flat space. Examples include the linear dilaton throat in the F1-NS5 solution and the NCOS…

We consider half BPS operators in maximally supersymmetric Yang Mills (SYM) in p+1 dimensions. These operators satisfy trace relations that are identical to those discussed in the p=3 case (N = 4 SYM). Nevertheless, the bulk explanation of these trace relations must differ from the p = 3 case as…

In this talk, I will describe how ideas from geometry and combinatorics can help us understand the mathematical and physical properties of cosmological integrals. From efficiently deriving canonical differential equations to a systematic method for finding a minimal basis for the physical subspace…

I will explain a recently proposed holographic scenario for pure dS3 Einstein quantum gravity. The dual description is a double-scaled matrix model, which is capable of capturing bulk cosmological correlators integrated over the metric at future infinity in order to define gauge-invariant…

In 1914, Ramanujan wrote down 17 intriguing formulas for 1/pi, which motivated the modern-day machinery of computing trillions of digits of pi. Most of these formulas lay unproven until the 1980s. The Canadian Borwein brothers wrote a comprehensive treatise proving these formulas in the 1980s. We…

In this talk, we develop a systematic framework for understanding symmetries in topological phases in \(2+1\) dimensions using the string-net model, encompassing both gauge symmetries that preserve anyon types and global symmetries permuting anyon types, including both invertible symmetries…

In this talk, I will discuss how one can use the gravitational path integral to compute the supersymmetric index of black holes as well as other black objects in string theory. The saddles that I shall describe admit a non-zero temperature, consequently lacking an infinitely long AdS throat that…