Article Dans Une Revue Journal of High Energy Physics Année : 2020

Symmetries in A-type little string theories. Part I. Reduced free energy and paramodular groups

Résumé

We analyse the symmetries of a class of A-type little string theories that are engineered by N parallel M5-branes with M2-branes stretched between them. This paper deals with the so-called reduced free energy, which only receives contributions from the subset of the BPS states that carry the same charges under all the Cartan generators of the underlying gauge algebra. We argue (and check explicitly in a number of examples) that the former is invariant under the paramodular group Σ$_{N}$ ⊂ Sp(4, ℚ), which gets extended to a subgroup of Sp(4, ℝ) in the Nekrasov-Shatashvili-limit. This extension agrees with the observation made in [18] that these BPS states form a symmetric orbifold CFT. Furthermore, we argue that Σ$_{N}$ (along with other symmetries) places strong constraints on the BPS counting function that governs the intersection between the M5- and M2-branes.

Dates et versions

hal-02392897 , version 1 (04-12-2019)

Identifiants

Citer

Brice Bastian, Stefan Hohenegger. Symmetries in A-type little string theories. Part I. Reduced free energy and paramodular groups. Journal of High Energy Physics, 2020, 03, pp.062. ⟨10.1007/JHEP03(2020)062⟩. ⟨hal-02392897⟩
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