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  1. Pubblicazioni

The exact 8d chiral ring from 4d recursion relations

Articolo
Data di Pubblicazione:
2011
Abstract:
We consider the local F-theory set-up corresponding to four D7 branes in type I′ theory, in which the exact axio-dilaton background τ (z) is identified with the low-energy effective coupling of the four-dimensional N = 2 super Yang-Mills theory with gauge group SU(2) and Nf = 4 flavours living on a probe D3 brane placed at position z. Recently, an intriguing relation has been found between the correlators forming the chiral ring of the eight-dimensional theory on the D7 branes and the large-z expansion of the τ profile. Here we apply to the SU(2) Nf = 4 theory some recursion techniques that allow to derive the coefficients of the large-z expansion of τ in terms of modular functions of the UV coupling τ0 . In this way we obtain exact expressions for the elements of the eight-dimensional chiral ring that resum their instanton expansions, previously known only up to the first few orders by means of localization techniques.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
D-branes; F-thepry; Supersymmetric Gauge Theories
Elenco autori:
M. Billo'; M. Frau; L. Gallot; A. Lerda
Autori di Ateneo:
BILLO' Marco
FRAU Marialuisa
Link alla scheda completa:
https://iris.unito.it/handle/2318/89221
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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URL

http://arxiv.org/abs/1107.3691
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