Near-horizon solutions for D3-branes ending on 5-branes

We construct the type IIB supergravity solutions describing D3-branes ending on 5branes, in the near-horizon limit of the D3-branes. Our solutions are holographically dual to the 4dN = 4SU(N) super-Yang-Mills (SYM) theory on a half-line, at largeN and large ’t Hooft coupling, with various boundary conditions that preserve half of the supersymmetry. The solutions are limiting cases of the general solutions with the same symmetries constructed in 2007 by D’Hoker, Estes and Gutperle. The classication of our solutions matches exactly with the general classication of boundary conditions for D3-branes ending on 5-branes by Gaiotto and Witten. We use the gravity duals to compute the one-point functions of some chiral operators in theN = 4 SYM theory on a half-line at strong coupling, and nd that they do not match with the expectation values of the same operators with the same boundary conditions at small ’t Hooft coupling. Our solutions may also be interpreted as the gravity duals of 4d N = 4 SYM on AdS4, with various boundary conditions.

[1]  C. Bachas,et al.  Spin-2 spectrum of defect theories , 2011, 1103.2800.

[2]  O. Aharony,et al.  Conformal field theories in anti-de Sitter space , 2010, 1011.6144.

[3]  C. Chu,et al.  Multiple self-dual strings on M5-branes , 2009, 0909.2333.

[4]  E. Sezgin,et al.  Boundary conditions for interacting membranes , 2009, 0912.3504.

[5]  E. D'hoker,et al.  Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS(4) x S**7 , 2009, 0906.0596.

[6]  D. Berman,et al.  Membranes with a boundary , 2009, 0904.0241.

[7]  E. Witten,et al.  S-duality of boundary conditions in N=4 super Yang-Mills theory , 2008, 0807.3720.

[8]  E. D'hoker,et al.  Exact Half-BPS Flux Solutions in M-theory. I: Local Solutions , 2008, 0806.0605.

[9]  E. Witten,et al.  Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory , 2008, 0804.2902.

[10]  E. D'hoker,et al.  Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus , 2007, 0705.0022.

[11]  E. D'hoker,et al.  Exact half-BPS type IIB interface solutions II: flux solutions and multi-Janus , 2007, 0705.0024.

[12]  Kostas Skenderis,et al.  Kaluza-Klein Holography , 2006, hep-th/0603016.

[13]  M. Graña.  Flux compactifications in string theory: A Comprehensive review , 2005, hep-th/0509003.

[14]  H. Ooguri,et al.  Holography and defect conformal field theories , 2001, hep-th/0111135.

[15]  L. Randall,et al.  Localized gravity in string theory. , 2001, Physical review letters.

[16]  D. Marolf.  Chern-Simons terms and the Three Notions of Charge , 2000, hep-th/0006117.

[17]  D. Kutasov,et al.  Little string theory in a double scaling limit , 1999, hep-th/9909110.

[18]  E. Witten,et al.  TYPE IIB SUPERSTRINGS, BPS MONOPOLES, AND THREE-DIMENSIONAL GAUGE DYNAMICS , 1996, hep-th/9611230.

[19]  H. Osborn,et al.  Conformal field theories near a boundary in general dimensions , 1995, cond-mat/9505127.

[20]  Kim,et al.  Mass spectrum of chiral ten-dimensional N=2 supergravity on S5. , 1985, Physical review. D, Particles and fields.