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  1. Pubblicazioni

S-duality and the prepotential in N = 2 ⋆ theories (I): the ADE algebras

Articolo
Data di Pubblicazione:
2015
Abstract:
The prepotential of N = 2 ⋆ supersymmetric theories with unitary gauge groups in an Ω background satisfies a modular anomaly equation that can be recursively solved order by order in an expansion for small mass. By requiring that S-duality acts on the prepotential as a Fourier transform we generalise this result to N = 2 ⋆ theories with gauge algebras of the D and E type and show that their prepotentials can be written in terms of quasi-modular forms of SL(2, Z). The results are checked against microscopic multi- instanton calculus based on localization for the A and D series and reproduce the known 1-instanton prepotential of the pure N = 2 theories for any gauge group of ADE type. Our results can also be used to obtain the multi-instanton terms in the exceptional theories for which the microscopic instanton calculus and the ADHM construction are not available.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
Supersymmetric gauge theory, Duality in Gauge Field Theories, Solitons Monopoles and Instantons, Nonperturbative Effects
Elenco autori:
Billó, M.; Frau, M.; Fucito, F.; Lerda, A.; Morales, J.F.
Autori di Ateneo:
BILLO' Marco
FRAU Marialuisa
Link alla scheda completa:
https://iris.unito.it/handle/2318/1552516
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/1552516/115867/art%253A10.1007%252FJHEP11%25282015%2529024.pdf
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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