Large N limit of non-commutative gauge theories

Abstract

Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large N limit of non-commutative gauge theories by considering gravity solutions with B fields. We argue that the total number of physical degrees of freedom at any given scale coincides with the commutative case. We then compute a two-point correlation function involving momentum components in the directions of the B-field. In the UV regime, we find that the two-point function decays exponentially with the momentum. A calculation of Wilson lines suggests that strings cannot be localized near the boundary. We also find string configurations that are localized in a finite region of the radial direction. These are worldsheet instantons.

Microscopic formulation of black holes in string theory

“…We will consider the case when B N S is non-zero. The construction of the supergravity solution that corresponds to a 1 4 BPS configuration, with a non-zero B N S was presented in [87,88]. B N S has non-zero components only along the directions 6, 7, 8, 9 of the internal torus.…”

On non-commutative super Yang–Mills

“…It means that the prepotential must be of the following form 6) and at the quadratic level the IR theory is free, exactly as the commutative one. At first sight this looks surprising, since the UV theory is asymptotically free.…”

Anisotropic Landau-Lifshitz sigma models from q-deformed AdS5×S5 superstrings

“…In fact, as an example of deformation of AdS 5 , a complete type IIB supergravity solution has been found in [54] and it contains a three-dimensional Schrödinger spacetime (Sch 3 ) as a JHEP08 (2014)110 subspace. Furthermore, γ-deformed backgrounds [55,56] and the gravity duals for noncommutative gauge theories [57][58][59] have been reproduced in [60] and [61], respectively, in the context of the Yang-Baxter sigma model.…”