Physics

While the flat space two-body problem is integrable, the generally-relativistic one is not starting at the next-to-leading order.
In the appropriate classical limit, scattering amplitude-based techniques can yield the classical interaction of massive...

Suggested reading:
Marc Mars, Present Status of the Penrose Inequality, arXiv:0906.5566
Netta Engelhardt and Gary Horowitz, A Holographic Argument for the Penrose Inequality in AdS, arXiv:1903.00555
Quantum Penrose Inequality, arXiv:1908.02755

I will describe my work, all joint with D. Gaiotto and some also joint with E. Witten, to understand the homotopy type of the space of (1+1)d N=(0,1) SQFTs --- what a condensed matter theorist would call "phases" of SQFTs. Our motivating hypothesis...

We describe the coupling of holomorphic Chern-Simons theory at large N with Kodaira-Spencer gravity. This gives a complete description of open-closed string field theory in the topological B-model. We explain an anomaly cancellation mechanism at all...

I will explain how the S-matrix Bootstrap for massless particles can be used to constrain the space of Effective Field Theories (EFT). In particular, I will discuss the S-matrix bootstrap for massless particles in unitary, relativistic two...

The physics of systems with quenched random disorder reveals behavior qualitatively different from that found in systems with translational symmetry, continuous or discrete. The seminal work by Anderson over six decades back [1] established the...

The SYK Model was originally introduced as a random matrix model for the nuclear interaction that also describes the exponential rise of the spectral density known as the Bethe formula. Exactly this behavior is the hallmark of the Schwarzian...

We analyze modular invariance drawing inspiration from tauberian
theorems. Given a modular invariant partition function with a positive
spectral density, we derive lower and upper bounds on the number of
operators within a given energy interval. They...

We consider supersymmetric twist and omega deformation of a type IIB brane setup involving N D3 and K D5 branes. In the large N limit, this leads to a holographic duality between two topological/holomorphic theories. We compute certain operator...

I will discuss time-dependent probes of the renormalization group, and derive new constraints that govern the spread of local operators in holographic theories. The same methods lead to sum rules for inflationary correlators, relating observables...