Double-trace operators and one-loop vacuum energy in AdS/CFT
By S. Gubser, Indrajit Mitra. 2002
150 citations recorded by the source corpus.
We perform a one-loop calculation of the vacuum energy of a tachyon field in anti\char21{}de Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory. Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legendre transformation in the large N limit. The calculation of the one-loop vacuum energy enables us to verify the holographic c theorem one step beyond the classical supergravity approximation.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/aa61b5608446dfb2e84d313dfb890325ee9a73dc
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Citations in the corpus
- Semi-holographic Fermi liquids (2010, background): “the planar limit the RG flows induced by multi-trace operators (functions of gauge-singlet operators) are rather tame [25, 26, 27, 28].”
- Black hole determinants and quasinormal modes (2009, background): “reproducing the results of [4, 6].”
- Higher spins in AdS5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT (2014, unknown): “In the context of AdS/CFT it appeared in the context of the discussion of the bulk counterpart of a “double trace” deformation of the boundary CFT (see [11–14, 9, 10, 1]).”
- Quantum oscillations and black hole ringing (2009, methodology): “ses suciently close to the Breitenlohner-Freedman bound (m2 BF = 9=4L2) and simply impose the faster fallo at the boundary. For a discussion of determinants in AdS with m2 BF m 2 m2 BF +1 see e.g. [40, 41]. 4.2 The matrix method for quasinormal modes The quasinormal modes of a black hole are complex”
- Boundary conditions and dualities: vector fields in AdS/CFT (2006, methodology): “Starting from the ∆− CFT, this is is a relevant deformation, which will produce an renormalization-group flow which is expected to end at the ∆+ CFT in the IR; evidence for this picture has been obtained in [9, 10, 11].”
- Late-time structure of the Bunch-Davies de Sitter wavefunction (2014, methodology): “In [78] the bulk Green’s function was constructed using a different choice of basis modes.”
- AdS description of induced higher-spin gauge theory (2013, methodology): “For s = 0 this expression agrees with the results in [7, 8, 10].”
- One loop tests of higher spin AdS/CFT (2013, result): “This procedure gives a result in agreement with the difference F∆+ − F∆− computed using different methods [25,30,33].”
- 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].”
- Towards a Big Crunch Dual (2004, methodology): “6 This is different from the example considered in [ 27 ] which also had a bulk AdS solution, but”
- Higher spin gauge theory and holography: the three-point functions (2009, background): “One possibility is that at loop level, an effective Lagrangian is generated for the scalar field, such that the scalar field will condense in a new AdS4 vacuum, and spontaneously break the higher spin gauge symmetries (see [43, 44]).”
- Notes on the complex Sachdev-Ye-Kitaev model (2019, methodology): “We note that this procedure is similar to that used to compute the influence of double trace operators on the free energy in the AdS/CFT correspondence [40–45].”
- SL(2;Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry (2003, result): “This work was supported in part by NSF Grant PHY-0070928.”