For cal{N}=1 SU(N) SYM theories obtained as marginal deformations of the cal{N}=4 parent theory we study perturbatively some sectors of the chiral ring in the weak coupling regime and for finite N. By exploiting the relation between the definition of chiral ring and the effective superpotential we develop a procedure which allows us to easily determine protected chiral operators up to n loops once the superpotential has been computed up to (n-1) order. In particular, for the Lunin-Maldacena beta-deformed theory we determine the quantum structure of a large class of operators up to three loops. We extend our procedure to more general Leigh-Strassler deformations whose chiral ring is not fully understood yet and determine the weight-two and weight-three sectors up to two loops. We use our results to infer general properties of the chiral ring.

Mauri, A., Penati, S., Pirrone, M., Santambrogio, A., & Zanon, D. (2006). On the perturbative chiral ring for marginally deformed N=4 SYM theories. JOURNAL OF HIGH ENERGY PHYSICS, 2006(8) [10.1088/1126-6708/2006/08/072].

On the perturbative chiral ring for marginally deformed N=4 SYM theories

MAURI, ANDREA;PENATI, SILVIA;
2006

Abstract

For cal{N}=1 SU(N) SYM theories obtained as marginal deformations of the cal{N}=4 parent theory we study perturbatively some sectors of the chiral ring in the weak coupling regime and for finite N. By exploiting the relation between the definition of chiral ring and the effective superpotential we develop a procedure which allows us to easily determine protected chiral operators up to n loops once the superpotential has been computed up to (n-1) order. In particular, for the Lunin-Maldacena beta-deformed theory we determine the quantum structure of a large class of operators up to three loops. We extend our procedure to more general Leigh-Strassler deformations whose chiral ring is not fully understood yet and determine the weight-two and weight-three sectors up to two loops. We use our results to infer general properties of the chiral ring.
No
Articolo in rivista - Articolo scientifico
Scientifica
AdS/CFT, beta-deformations, chiral ring
English
Mauri, A., Penati, S., Pirrone, M., Santambrogio, A., & Zanon, D. (2006). On the perturbative chiral ring for marginally deformed N=4 SYM theories. JOURNAL OF HIGH ENERGY PHYSICS, 2006(8) [10.1088/1126-6708/2006/08/072].
Mauri, A; Penati, S; Pirrone, M; Santambrogio, A; Zanon, D
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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: http://hdl.handle.net/10281/3288
Citazioni
  • Scopus 20
  • ???jsp.display-item.citation.isi??? 20
Social impact