Work

Generalized Bethe expansions of superconformal indices

Year: 2025

Type: article

Abstract: A bstract We show the existence of infinitely many Bethe expansions for general four dimensional superconformal theories. We then propose an analytic method to systematically obtain all the Bethe solutions, both isolated and continuous, for general superconformal theories. In particular, we show that the contribution from the continuous manifold of solutions to the index comes from isolated points on this manifold. We check our proposals on $$ \mathcal{N} $$ N = 4 SYM. For U(3) or SU(3), which are the first examples with continuous solutions, we demonstrate the non-trivial cancellation between the tachyon contributions from the previously known isolated solutions and those from the continuous solutions.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep07(2025)206

Authors: Alejandro Cabo-Bizet, Wei Li

Institutions: University of Salento, Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Chinese Academy of Sciences

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond