We determine perturbatively the conformal manifold of N = 2 Chern-Simons matter theories with the aim of checking in the three dimensional case the general prescription based on global symmetry breaking, recently introduced in [1-3]. We discuss in details few remarkable cases like the N = 6 ABJM theory and its less supersymmetric generalizations with/without flavors. In all cases we find perfect agreement with the predictions of global symmetry breaking prescription. For unflavored theories the conformal manifold is a three dimensional compact surface. This feature is peculiar of three dimensions, as it has no direct analogue in four dimensional supersymmetric models. © SISSA 2011.
Bianchi, M., Penati, S. (2011). The Conformal Manifold of Chern-Simons Matter Theories. JOURNAL OF HIGH ENERGY PHYSICS, 2011(1), 047 [10.1007/JHEP01(2011)047].
The Conformal Manifold of Chern-Simons Matter Theories
PENATI, SILVIA
2011
Abstract
We determine perturbatively the conformal manifold of N = 2 Chern-Simons matter theories with the aim of checking in the three dimensional case the general prescription based on global symmetry breaking, recently introduced in [1-3]. We discuss in details few remarkable cases like the N = 6 ABJM theory and its less supersymmetric generalizations with/without flavors. In all cases we find perfect agreement with the predictions of global symmetry breaking prescription. For unflavored theories the conformal manifold is a three dimensional compact surface. This feature is peculiar of three dimensions, as it has no direct analogue in four dimensional supersymmetric models. © SISSA 2011.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.