Speaker
Description
In unitary 2 dimensional CFT with c>1 and twist gap in Virasoro primaries, modular bootstrap of torus partition function in the light cone limit using rigorous complex analytic method reveals existence of twist accumulation points, and universality of operator spectrum at large spin J: the (appropriately smoothened) density of states is completely universal: theory independent upto J^{-N} for any N>0. In this talk, we will explore this limit in higher dimensional CFT and provide EFT based arguments, along with strong evidence, for what we call “Semi-universality” of spectrum at large spin: the density states at large spin is determined upto a theory-dependent function of universal ratio of twist and spin. The semi-universality has an intriguing connection with ANEC. This will be based on arXiv: 2505.02897 with Balt C van Rees and Jiaxin Qiao & the arXiv: 2512.00158 with Harsh Anand, Nathan Benjamin, Vipul Kumar, Shiraz Minwalla, Jyotirmoy Mukherjee, Asikur Rahaman.
