Lifshitz-like systems and AdS null deformations

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.086001· OSTI ID:21607964

Narayan, K ^[1]

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1. Chennai Mathematical Institute, SIPCOT IT Park, Padur PO, Siruseri 603103 (India)

Following K. Balasubramanian and K. Narayan [J. High Energy Phys. 08 (2010) 014], we discuss certain lightlike deformations of AdS{sub 5}xX{sup 5} in type IIB string theory sourced by a lightlike dilaton {Phi}(x{sup +}) dual to the N=4 super Yang-Mills theory with a lightlike varying gauge coupling. We argue that, in the case where the x{sup +} direction is noncompact, these solutions describe anisotropic 3+1-dim Lifshitz-like systems with a potential in the x{sup +} direction generated by the lightlike dilaton. We then describe solutions of this sort with a linear dilaton. This enables a detailed calculation of two-point correlation functions of operators dual to bulk scalars and helps illustrate the spatial structure of these theories. Following this, we discuss a nongeometric string construction involving a compactification along the x{sup +} direction of this linear dilaton system. We also point out similar IIB axionic solutions. Similar bulk arguments for x{sup +}-noncompact can be carried out for deformations of AdS{sub 4}xX{sup 7} in M theory.

• OSTI ID: 21607964
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANISOTROPY
ANTI DE SITTER SPACE
COMPACTIFICATION
CORRELATION FUNCTIONS
COUPLING
DEFORMATION
FUNCTIONS
M-THEORY
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
SPACE
STRING THEORY
YANG-MILLS THEORY