Resumming instantons in N=2* theories with arbitrary gauge groups

2016/01/31 by M. Billó, M. Frau, Billò, M. +7 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1602.00273

openalex publication_date 2016/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the modular anomaly equation satisfied by the the prepotential of 4-dimensional N=2* theories and show that its validity is related to S-duality. The recursion relations that follow from the modular anomaly equation allow one to write the prepotential in terms of (quasi)-modular forms, thus resumming the instanton contributions. These results can be checked against the microscopic multi-instanton calculus in the case of classical algebras, but are valid also for the exceptional E6, E7, E8, F4 and G2 algebras, where direct computations are not available.

Citations

• S-duality and the prepotential in N=2* theories (II): the non-simply laced algebras
• Modular anomaly equations and S-duality in N=2 conformal SQCD
• Seiberg-Witten Theory and Random Partitions

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