Abstract
We study some vacua of N = 9 three dimensional gauged supergravity. The theory contains sixteen scalar fields parametrizing the exceptional coset space \( \frac{{{F_{4\left( { - 20} \right)}}}}{{{\text{SO}}(9)}} \). Various supersymmetric and some non-supersymmetric AdS3 vacua are found in both compact and non-compact gaugings with gauge groups SO(p) × SO(9 − p) for p = 0, 1, 2, 3, 4, G 2(−14) × SL(2) and Sp(1, 2) × SU(2). We also study many RG flow solutions, both analytic and numerical, interpolating between supersymmetric AdS3 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.
Similar content being viewed by others
References
H. Nicolai and H. Samtleben, Maximal gauged supergravity in three dimensions, Phys. Rev. Lett. 86 (2001) 1686 [hep-th/0010076] [SPIRES].
H. Nicolai and H. Samtleben, Compact and noncompact gauged maximal supergravities in three dimensions, JHEP 04 (2001) 022 [hep-th/0103032] [SPIRES].
T. Fischbacher, H. Nicolai and H. Samtleben, Non-semisimple and complex gaugings of N = 16 supergravity, Commun. Math. Phys. 249 (2004) 475 [hep-th/0306276] [SPIRES].
H. Nicolai and H. Samtleben, N = 8 matter coupled AdS 3 supergravities, Phys. Lett. B 514 (2001) 165 [hep-th/0106153] [SPIRES].
B. de Wit, I. Herger and H. Samtleben, Gauged locally supersymmetric D = 3 nonlinear σ-models, Nucl. Phys. B 671 (2003) 175 [hep-th/0307006] [SPIRES].
B. de Wit, A.K. Tollsten and H. Nicolai, Locally supersymmetric D = 3 nonlinear σ-models, Nucl. Phys. B 392 (1993) 3 [hep-th/9208074] [SPIRES].
T. Fischbacher, Some stationary points of gauged N = 16 D = 3 supergravity, Nucl. Phys. B 638 (2002) 207 [hep-th/0201030] [SPIRES].
T. Fischbacher, H. Nicolai and H. Samtleben, Vacua of maximal gauged D = 3 supergravities, Class. Quant. Grav. 19 (2002) 5297 [hep-th/0207206] [SPIRES].
E. Gava, P. Karndumri and K.S. Narain, AdS 3 vacua and RG flows in three dimensional gauged supergravities, JHEP 04 (2010) 117 [arXiv:1002.3760] [SPIRES].
M. Berg and H. Samtleben, An exact holographic RG flow between 2d conformal fixed points, JHEP 05 (2002) 006 [hep-th/0112154] [SPIRES].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
N.S. Deger, Renormalization group flows from D = 3, N = 2 matter coupled gauged supergravities, JHEP 11 (2002) 025 [hep-th/0209188] [SPIRES].
H. Nishino and S. Rajpoot, Topological gauging of N = 16 supergravity in three-dimensions, Phys. Rev. D 67 (2003) 025009 [hep-th/0209106] [SPIRES].
F. Bernardoni, S.L. Cacciatori, B.L. Cerchiai and A. Scotti, Mapping the geometry of the F 4 group, Adv. Theor. Math. Phys. 12 (2008) 889 [arXiv:0705.3978] [SPIRES].
S.L. Cacciatori and B.L. Cerchiai, Exceptional groups, symmetric spaces and applications, arXiv:0906.0121 [SPIRES].
S. Wolfram, The Mathematica Book, 5th ed., Wolfram Media (2003).
E.S. Fradkin and V.Y. Linetsky, Results of the classification of superconformal algebras in two-dimensions, Phys. Lett. B 282 (1992) 352 [hep-th/9203045] [SPIRES].
N.P. Warner, Some new extrema of the scalar potential of gauged N = 8 supergravity, Phys. Lett. B 128 (1983) 169 [SPIRES].
W. Mueck, Correlation functions in holographic renormalization group flows, Nucl. Phys. B 620 (2002) 477 [hep-th/0105270] [SPIRES].
I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [SPIRES].
S.L. Cacciatori, B.L. Cerchiai, A. Della Vedova, G. Ortenzi and A. Scotti, Euler angles for G 2, J. Math. Phys. 46 (2005) 083512 [hep-th/0503106] [SPIRES].
M. Günaydin and S.V. Ketov, Seven-sphere and the exceptional N = 7 and N = 8 superconformal algebras, Nucl. Phys. B 467 (1996) 215 [hep-th/9601072] [SPIRES].
H. Nicolai and H. Samtleben, Chern-Simons vs. Yang-Mills gaugings in three dimensions, Nucl. Phys. B 668 (2003) 167 [hep-th/0303213] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint : 1007.5438
Rights and permissions
About this article
Cite this article
Chatrabhuti, A., Karndumri, P. Vacua and RG flows in N = 9 three dimensional gauged supergravity. J. High Energ. Phys. 2010, 98 (2010). https://doi.org/10.1007/JHEP10(2010)098
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2010)098