The c-Function of Noncommutative Yang-Mills Theory from Holography
نویسندگان
چکیده
In this paper we obtain the c-function of noncommutative Yang-Mills theory from the boundary counter-terms in its supergravity dual. For all backgrounds we consider, the c-function is found to be monotonically decreasing towards the infrared fixed point, where it recovers the central charge of ordinary YangMills theory. For a background corresponding to finite temperature we find an overall reduction factor for the c-function, compared with zero temperature. The holographic approach sheds light on the renormalization group flows in noncommutative Yang-Mills theory.
منابع مشابه
Holography and Noncommutative Yang-Mills
In this note a lately proposed gravity dual of noncommutative Yang-Mills theory is derived from the relations, recently suggested by Seiberg and Witten, between closed string moduli and open string moduli. The only new input one needs is a simple form of the running string tension as a function of energy. This derivation provides convincing evidence that string theory integrates with the hologr...
متن کاملThe c-Functions of Noncommutative Yang-Mills Theory from Holography
In this paper we study non-commutative Yang-Mills theory (NCYM) through its gravity dual. First it is shown that the gravity dual of an NCYM with selfdual θ-parameters has a Lagrangian in the form of five-dimensional dilatonic gravity. Then we use the de-Boer-Verlinde-Verlinde formalism for holographic renormalization group flows to calculate the coefficient functions in the Weyl anomaly of the...
متن کاملA Note on Supergravity Duals of Noncommutative Yang-Mills Theory
A class of supergravity backgrounds have been proposed as dual descriptions of strong coupling large-N noncommutative Yang-Mills (NCYM) theories in 3 + 1 dimensions. However calculations of correlation functions in supergravity from an evaluation of relevant classical actions appear ambiguous. We propose a resolution of this ambiguity. Assuming that some holographic description exists regardles...
متن کاملThe Galilean Nature of V-duality for Noncommutative Open String and Yang-Mills Theories
A V-duality conjecture for noncommutative open string theories (NCOS) that result from decoupling D-branes in Lorentz-boost related backgrounds was put forward recently in hepth/0006013. The aim of this paper is to test the Galilean nature of this conjecture in the gravity dual setup. We start with an (F, D3) bound state Lorentz-boosted along one D3-brane direction perpendicular to the F-string...
متن کاملComments on Noncommutative Open String Theory: V-duality and Holography
In this paper we study the interplay of electric and magnetic backgrounds in determining the decoupling limit of coincident D-branes towards a noncommutative Yang-Mills (NCYM) or open string (NCOS) theory. No decoupling limit has been found for NCYM with space-time noncommutativity. It is suggested that there is a new duality, which we call V-duality, which acts on NCOS with both space-space an...
متن کامل