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.

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

Billò M;Frau M;Morales J. F.
2018-01-01

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.
2018
The Fourteenth Marcel Grossmann Meeting
Roma
Luglio 2015
The Fourteenth Marcel Grossmann Meeting,
World Scientific
4139
4150
978-981-3226-59-3
Billò,M, Frau,M, Fucito,F, Lerda,A, Morales, J.F.
File in questo prodotto:
File Dimensione Formato  
9789813226609_0553.pdf

Accesso aperto

Tipo di file: PDF EDITORIALE
Dimensione 355.13 kB
Formato Adobe PDF
355.13 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1711278
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? ND
social impact