Portal de Periódicos da CAPES

The stranger things of symmetric product orbifold CFTs

2022; Springer Nature; Volume: 2022; Issue: 11 Linguagem: Inglês

10.1007/jhep11(2022)054

1127-2236

Nathan Benjamin, Suzanne Bintanja, Alejandra Castro, Jildou Hollander,

Noncommutative and Quantum Gravity Theories

A bstract Symmetric product orbifold theories are valuable due to their universal features at large N . Here we will demonstrate that they have features that are not as pervasive: we provide evidence of strange behaviour under deformations within their moduli space. To this end, we consider the symmetric product orbifold of tensor products of $$ \mathcal{N} $$ N = 2 super-Virasoro minimal models, and classify them according to two criteria. The first criterion is the existence of a single-trace twisted exactly marginal operator that triggers the deformation. The second criterion is a sparseness condition on the growth of light states in the elliptic genera. In this context we encounter a strange variety: theories that obey the first criterion but the second criterion falls into a Hagedorn-like growth. We explain why this may be counter-intuitive and discuss how it might be accounted for in conformal perturbation theory. We also find a new infinite class of theories that obey both criteria, which are necessary conditions for each moduli space to contain a supergravity point.