More on Massive 3D Supergravity

Classical and Quantum Gravity (Impact Factor: 3.17). 05/2010; 28(1). DOI: 10.1088/0264-9381/28/1/015002
Source: arXiv


Completing earlier work on three dimensional (3D) N=1 supergravity with curvature-squared terms, we construct the general supergravity extension of cosmological massive gravity theories. We expand about supersymmetric anti-de Sitter vacua, finding the conditions for bulk unitarity and the critical points in parameter space at which the spectrum changes. We discuss implications for the dual conformal field theory. Comment: 53 pages, 1 figure

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Available from: Ergin Sezgin
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    • "Such techniques may be useful to address several essentially three-dimensional problems. First of all, the supergraph techniques may be useful to study the quantum properties of new massive supergravity theories [23] [24] [25]. Secondly, they may be useful for explicit calculations of newly discovered anomalies in three dimensions [26] [27]. "
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    ABSTRACT: We present a complete solution of the constraints for three-dimensional N=2 conformal supergravity in terms of unconstrained prepotentials. This allows us to develop a prepotential description of the off-shell versions of N=2 Poincare and anti-de Sitter supergravity theories constructed in arXiv:1109.0496.
    Preview · Article · Sep 2012 · Journal of High Energy Physics
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    • "The equations for the tensor modes are determined by the tracelss part of the Einstein equations. It was shown in [11] that these equations are the same as the seven-parameter pure gravity theory constructed in [8]. Thus we shall just present the result here, but specializing to our specific choice of parameters. "
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    ABSTRACT: A class of hybrid (topologically) massive off-shell supergravities coupled to an on-shell matter scalar multiplet was recently constructed. The auxiliary field in the off-shell multiplet is dynamical for generic values of the eight parameters. We find that by choosing the parameters appropriately, it remains non-dynamical. We perform linearized analysis around the supersymmetric AdS3 vacuum and its Minkowski limit. The ghost-free condition for the Minkowski vacuum is explored. For the AdS3 vacuum, we obtain the criticality condition and find that at the critical points, one of the two massive gravitons becomes pure gauge and decouples from the bulk physics, whilst the other has positive energy. We demonstrate that the mass of the BTZ black hole is non-negative at the critical points. We also investigate general BPS solutions. For certain parameter choices, we obtain exact solutions. In particular, we present the BPS string (domain-wall) solution that is dual to certain two-dimensional quantum field theory with an ultra-violet conformal fixed point. KeywordsModels of Quantum Gravity–Supergravity Models
    Full-text · Article · Mar 2011 · Journal of High Energy Physics
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    • "The resulting theory exhibits by construction propagating degrees of freedom, but with different masses for the two helicity states of the graviton, which reduce consistently to the graviton modes of the topologically massive and the new massive theories of gravity in different corners of the space of coupling constants, [17] [18]. Generalization to three-dimensional supergravity was subsequently considered, [22], and the chiral point of generalized massive gravity in AdS 3 was investigated, [23]. Also, various solutions of new massive gravity, including AdS 3 black-holes, have already been constructed in the literature, [24] [25], and some aspects of the AdS/CFT correspondence turned out to be on par with the holographic studies of topologically massive gravity, [26]. "
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    ABSTRACT: We obtain all homogeneous solutions of new massive gravity models on S^3 and AdS_3 by extending previously known results for the cosmological topologically massive theory of gravity in three dimensions. In all cases, apart from the maximally symmetric vacua, there are axially symmetric (i.e., bi-axially squashed) as well as totally anisotropic (i.e., tri-axially squashed) metrics of special algebraic type. Transitions among the vacua are modeled by instanton solutions of 3+1 Horava-Lifshitz gravity with anisotropic scaling parameter z=4. Comment: 1+25 pages
    Preview · Article · Jun 2010 · Classical and Quantum Gravity
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