We consider marginal deformations of the superconformal ABJM/ABJ models which preserve N=2 supersymmetry. We determine perturbatively the spectrum of fixed points and study their infrared stability. We find a closed line of fixed points which is IR stable. The fixed point corresponding to the ABJM/ABJ models is stable under marginal deformations which respect the original SU(2)xSU(2) invariance, while deformations which break this group destabilize the theory which then flows to a less symmetric fixed point. We discuss the addition of flavor degrees of freedom. We prove that in general a flavor marginal superpotential does not destabilize the system in the IR. An exception is represented by a marginal coupling which mixes matter charged under different gauge sectors. Finally, we consider the case of relevant deformations which should drive the system to a strongly coupled IR fixed point recently investigated in arXiv:0909.2036 [hep-th].Chern–Simons theories, N = 2 Supersymmetry, Infrared stability

Bianchi, M., Penati, S., Siani, M. (2010). Infrared stability of ABJ-like theories. JOURNAL OF HIGH ENERGY PHYSICS, 2010(1), 80 [10.1007/JHEP01(2010)080].

Infrared stability of ABJ-like theories

BIANCHI, MARCO STEFANO;PENATI, SILVIA;SIANI, MASSIMO VINCENZO DUILIO
2010

Abstract

We consider marginal deformations of the superconformal ABJM/ABJ models which preserve N=2 supersymmetry. We determine perturbatively the spectrum of fixed points and study their infrared stability. We find a closed line of fixed points which is IR stable. The fixed point corresponding to the ABJM/ABJ models is stable under marginal deformations which respect the original SU(2)xSU(2) invariance, while deformations which break this group destabilize the theory which then flows to a less symmetric fixed point. We discuss the addition of flavor degrees of freedom. We prove that in general a flavor marginal superpotential does not destabilize the system in the IR. An exception is represented by a marginal coupling which mixes matter charged under different gauge sectors. Finally, we consider the case of relevant deformations which should drive the system to a strongly coupled IR fixed point recently investigated in arXiv:0909.2036 [hep-th].Chern–Simons theories, N = 2 Supersymmetry, Infrared stability
Articolo in rivista - Articolo scientifico
Chern-simons theories; Supersymmetric gauge theory;
English
80
Bianchi, M., Penati, S., Siani, M. (2010). Infrared stability of ABJ-like theories. JOURNAL OF HIGH ENERGY PHYSICS, 2010(1), 80 [10.1007/JHEP01(2010)080].
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: https://hdl.handle.net/10281/9718
Citazioni
  • Scopus 33
  • ???jsp.display-item.citation.isi??? 32
Social impact