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Chatrabhuti, Auttakit; Karndumri, Parinya

Vacua and RG flows in \(N = 9\) three dimensional gauged supergravity. (English) Zbl 1291.81236

J. High Energy Phys. 2010, No. 10, Paper No. 098, 26 p. (2010).
Summary: We study some vacua of \(N = 9\) three dimensional gauged supergravity. The theory contains sixteen scalar fields parametrizing the exceptional coset space \(\frac{F_{4( - 20)}}{\text{SO}(9)}\). Various supersymmetric and some non-supersymmetric AdS\({}_{3}\) vacua are found in both compact and non-compact gaugings with gauge groups SO(\(p\)) {\(\times\)} SO(9 - \(p\)) for \(p\) = 0, 1, 2, 3, 4, \(G_{2(-14)}\) {\(\times\)} SL(2) and Sp(1, 2) {\(\times\)} SU(2). We also study many RG flow solutions, both analytic and numerical, interpolating between supersymmetric AdS\({}_{3}\) critical points in this theory. All the flows considered here are driven by a relevant operator of dimension \(\Delta = \frac{3}{2}\). This operator breaks conformal symmetry as well as supersymmetry and drives the CFT in the UV to another CFT in the IR with lower supersymmetries.

Cited in 5 Documents

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81V17 Gravitational interaction in quantum theory
83E50 Supergravity
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T17 Renormalization group methods applied to problems in quantum field theory

Keywords:

gauge-gravity correspondence; AdS-CFT correspondence; supergravity models

Software:

Mathematica
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Full Text: DOI arXiv

References:

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