Duality in N=4 Liouville Theory and Moonshine Phenomena

2016/03/09 by Tohru Eguchi, Eguchi, Tohru, Yuji Sugawara +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1603.02903

openalex publication_date 2016/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the \cal N=4 Liouville theory by varying the linear dilaton coupling constant \calQ. It is known that at two different values of coupling constant \cal Q=√(2\over N),-(N-1)√(2\over N) system exhibits two different small \cal N=4 superconformal symmetries with central charge c=6 and c=6(N-1), respectively. In the context of string theory these two theories are considered to describe Coulumb and Higgs branch of the theory and expected to be dual to each other. We study the Mathieu and umbral moonshine phenomena in these two theories and discuss their dual description. We mainly consider the case of A_N type modular invariants.

Citations

• Quantum Black Holes, Wall Crossing, and Mock Modular Forms
• ADE Double Scaled Little String Theories, Mock Modular Forms and Umbral Moonshine

Cited by

• Professor Nambu, String Theory and Moonshine Phenomenon

Related

• On Duality in N=2 supersymmetric Liouville Theory
• Four Dimensional Superstring, Supergravity and Duality
• Duality in supersymmetric N=2,4 gauge theories
• Duality in Topological Quantum Field Theories
• Aspects non perturbatifs de la theorie des supercordes