`Double-trace' deformations, boundary conditions and spacetime singularities
By M. Berkooz, A. Sever, Assaf Shomer. 2001
305 citations recorded by the source corpus.
Double-trace deformations of the AdS/CFT duality result in a new perturbation expansion for string theory, based on a non-local worldsheet. We discuss some aspects of the deformation in the low energy gravity approximation, where it appears as a change in the boundary condition of fields. We relate unique features of the boundary of AdS to the worldsheet becoming non-local, and conjecture that non-local worldsheet actions may be generic in other classes of backgrounds.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4b5dea074edd1fb5ace57f37bba351485c1e4ec8
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Citations in the corpus
- An AdS_3 Dual for Minimal Model CFTs (2010, background): “ 28]. In fact, we have to quantise them in opposite ways such that they correspond to the two different dimensions ∆± for the operators dual to them. As was argued on general grounds in [29] (see also [30]), the RG flow takes one from the quantisation corresponding to ∆− in the UV to that for ∆+ in th”
- Introduction to holographic superconductor models (2015, background): “ve cosmological constant. The complete action can be written down 7In fact, it has been shown that even more general quantisations are possible, like double trace deformation, see, for example, refs. [50,51]. 11 as 8 S= 1 22 Z d4x p g R+ 6 L2 2 1 4 F F jr iqA#TAB#j m2j#TAB#j2 ; (24) where 22 = 16ˇ”
- AdS dual of the critical O(N) vector model (2002, methodology): “This is a vector model analogue of the trace-squared terms which have been recently studied in the AdS/CFT setting [25, 26, 27, 28].”
- Boundary conditions and dualities: vector fields in AdS/CFT (2006, methodology): “The results are qualitatively similar to those obtained for general scalar field boundary conditions [7, 8 , 23], which were also reviewed in detail.”
- Introduction to Gauge/Gravity Duality (2010, background): “In other words, the earlier pure boundary conditions are now replaced by a mixed condition with a linear relation between α and β [43, 44].”
- Double-trace operators and one-loop vacuum energy in AdS/CFT (2002, background): “Such a dual description was also discussed in [7]; however, our treatment will follow [6] more closely.”
- Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT (2007, background): “ a non-gravitational theory residing on the conformal boundary ∂M of M. Multi-trace deformations of the boundary theory are then related to the choice of boundary conditions imposed on the bulk fields [1, 2, 3, 4, 5, 8, 6, 7]. The fact that the boundary of an AlAdS space is a conformal boundary, howe”
- Semi-holographic Fermi liquids (2010, background): “ may lead one to doubt that an AdS 2 xed point can ever be realized. However, in 10 the planar limit the RG ows induced by multi-trace operators (functions of gauge-singlet operators) are rather tame [25, 26, 27, 28].10 The theory ows to a new xed point with the same conformal symmetry, and only the”
- Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “It was later realized [320, 321] that even more general quantizations are possible in which the modes used to build the physical states have both A and B nonzero, with a relation between the two that ensures that the asymptotic symmetries of AdS are preserved [322,323].”
- The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1) (2004, background): “In the application to AdS3×S(3)×S(3)×S(1), it implements (among other things) a change in the boundary condition on the corresponding bulk gauge field [55].”
- Holography in 4D (super) higher spin theories and a test via cubic scalar couplings (2003, background): “ctional is related to the one for ∆− = 1 by a Legendre transformation in the large Nlimit [17]. From the field theory point of view, the Legendre transformation is realized as double trace deformation [17, 18, 19, 20]. Hence, remarkably enough, the regular boundary condition in the bulk theory corres”
- An apologia for firewalls (2013, methodology): “eabsorbed by the black hole. But we may also consider AdS boundary conditions that allow energy to leave the AdS space. Much useful technology for doing so has been developed by the AdS/CFT community [56, 57, 58], though it refers only to semiclassical AdS physics. While applications of this technol”