Dual of the Janus solution: An interface conformal field theory

Journal Article · Tue Mar 15 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.066003· OSTI ID:20708928

Clark, A B; Karch, A ^[1]; Freedman, D Z ^[2]; Schnabl, M ^[3]

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1. Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)
2. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
3. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We propose and study a specific gauge theory dual of the smooth, nonsupersymmetric (and apparently stable) Janus solution of Type IIB supergravity found in Bak et al. [J. High Energy Phys. 05 (2003) 072]. The dual field theory is N=4 SYM theory on two half-spaces separated by a planar interface with different coupling constants in each half-space. We assume that the position dependent coupling multiplies the operator L{sup '} which is the fourth descendent of the primary TrX{sup {l_brace}}{sup I}X{sup J{r_brace}} and closely related to the N=4 Lagrangian density. At the classical level supersymmetry is broken explicitly, but SO(3,2) conformal symmetry is preserved. We use conformal perturbation theory to study various correlation functions to first and second order in the discontinuity of g{sub YM}{sup 2}, confirming quantum level conformal symmetry. Certain quantities such as the vacuum expectation value <L{sup '}> are protected to all orders in g{sub YM}{sup 2}N, and we find perfect agreement between the weak coupling value in the gauge theory and the strong coupling gravity result. SO(3,2) symmetry requires vanishing vacuum energy, <T{sub {mu}}{sub {nu}}>=0, and this is confirmed in first order in the discontinuity.

• OSTI ID: 20708928
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 6; Other Information: DOI: 10.1103/PhysRevD.71.066003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
COUPLING
COUPLING CONSTANTS
EXPECTATION VALUE
GAUGE INVARIANCE
GRAVITATION
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
SO GROUPS
SPACE-TIME
STRONG-COUPLING MODEL
SUPERGRAVITY
SUPERSTRING MODELS
SUPERSYMMETRY
SYMMETRY BREAKING
YANG-MILLS THEORY