Symmetries in A-Type Little String Theories, Part I

Abstract

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 ${\Sigma }_N\subset Sp(4,\mathbb{Q})$, which gets extended to a subgroup of $Sp(4,\mathbb{R})$ in the Nekrasov-Shatashvili-limit. This extension agrees with the observation made in arXiv:1706.04425 that these BPS states form a symmetric orbifold CFT. Furthermore, we argue that ${\Sigma }_N$ (along with other symmetries) places strong constraints on the BPS counting function that governs the intersection between the M5- and M2-branes.

arXiv comment33 pages

References in corpus (26)

• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Nekrasov Functions and Exact Bohr-Sommerfeld Integrals
• Counting Gauge Invariants: the Plethystic Program
• A brief review of "little string theories"
• Elliptic multiple zeta values and one-loop superstring amplitudes
• M-Strings
• Motivic Multiple Zeta Values and Superstring Amplitudes
• Multiple $q$-Zeta Values
• On orbifolds of M-Strings
• Closed Superstring Amplitudes, Single-Valued Multiple Zeta Values and Deligne Associator
• F-theory and the Classification of Little Strings
• All order alpha'-expansion of superstring trees from the Drinfeld associator
• Revisiting the classifications of 6d SCFTs and LSTs
• Instanton-Monopole Correspondence from M-Branes on ${\mathbb{S}}^1$ and Little String Theory
• Little strings and T-duality
• M String, Monopole String and Modular Forms
• Triality in Little String Theories
• Self-Duality and Self-Similarity of Little String Orbifolds
• Dual Little Strings and their Partition Functions
• Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
• Beyond Triality: Dual Quiver Gauge Theories and Little String Theories
• From Little String Free Energies Towards Modular Graph Functions
• Bound States of Little Strings and Symmetric Orbifold CFTs
• M5 branes and Theta Functions
• Five-Brane Webs and Highest Weight Representations
• The ABCDEFG of Little Strings

Cited by in corpus (3)

• From Little String Free Energies Towards Modular Graph Functions
• Diagrammatic Expansion of Non-Perturbative Little String Free Energies
• Symmetric Orbifold Theories from Little String Residues