Correlation functions in the Coulomb branch of N=4 SYM from AdS/CFT correspondence

Abstract

In the present paper we study SU(N)->S(U(N/2)xU(N/2)) symmetry breaking in N=4 SYM via AdS/CFT correspondence. We consider two stacks of N/2 parallel D3 branes separated by a distance 2\vec d. In this case there is mixing between the different l-wave dilatonic KK modes. We calculate certain the two point correlation functions in the dual gauge theory. Due to mode mixing, the diagonal correlation functions have 1/N conformal-like correction as well as deformation terms. The off-diagonal correlators are also non-vanishing and their leading order is 1/N. We discuss briefly the spectrum of the glueball exitations.

25 pages, more comments on two throat geometry, decoupling limit and correction terms, a few typos corrected, two references added; to appear in Phys.Rev. D

References in corpus (4)

• Large N Field Theories, String Theory and Gravity
• AdS/CFT Correspondence and Symmetry Breaking
• D3-brane shells to black branes on the Coulomb branch
• A note on correlation functions in AdS_5/SYM_4 correspondence on the Coulomb branch

Cited by in corpus (4)

• Interacting Black Holes
• Notes on Fluctuations and Correlation Functions in Holographic Renormalization Group Flows
• Correlation Functions in Holographic Renormalization Group Flows
• Absorption by Double-Centered D3-Branes and the Coulomb Branch of N=4 SYM Theory