TY - JOUR

T1 - Dynamics and BPS states of AdS5 supergravity with a Gauss-Bonnet term

AU - Mišković, Olivera

AU - Troncoso, Ricardo

AU - Zanelli, Jorge

N1 - Funding Information:
The authors thank Marc Henneaux for useful discussions. This work is partially funded by FONDECYT grants 1020629, 1040921, 3040026, 1051056 and 1061291. O.M. was supported by PUCV through the program Investigador Joven 2006. The generous support to CECS by Empresas CMPC is also acknowledged. CECS is a Millenium Science Institute and is funded in part by grants from Fundación Andes and the Tinker Foundation.

PY - 2006/6/15

Y1 - 2006/6/15

N2 - Some dynamical aspects of five-dimensional supergravity as a Chern-Simons theory for the SU ( 2, 2 | N ) group, are analyzed. The gravitational sector is described by the Einstein-Hilbert action with negative cosmological constant and a Gauss-Bonnet term with a fixed coupling. The interaction between matter and gravity is characterized by intricate couplings which give rise to dynamical features not present in standard theories. Depending on the location in phase space, the dynamics can possess different number of propagating degrees of freedom, including purely topological sectors. This inhomogeneity of phase space requires special care in the analysis. Background solutions in the canonical sectors, which have regular dynamics with maximal number of degrees of freedom, are shown to exist. Within this class, explicit solutions given by locally AdS spacetimes with nontrivial gauge fields are constructed, and BPS states are identified. It is shown that the charge algebra acquires a central extension due to the presence of the matter fields. The Bogomol'nyi bound for these charges is discussed. Special attention is devoted to the N = 4 case since then the gauge group has a U ( 1 ) central charge and the phase space possesses additional irregular sectors.

AB - Some dynamical aspects of five-dimensional supergravity as a Chern-Simons theory for the SU ( 2, 2 | N ) group, are analyzed. The gravitational sector is described by the Einstein-Hilbert action with negative cosmological constant and a Gauss-Bonnet term with a fixed coupling. The interaction between matter and gravity is characterized by intricate couplings which give rise to dynamical features not present in standard theories. Depending on the location in phase space, the dynamics can possess different number of propagating degrees of freedom, including purely topological sectors. This inhomogeneity of phase space requires special care in the analysis. Background solutions in the canonical sectors, which have regular dynamics with maximal number of degrees of freedom, are shown to exist. Within this class, explicit solutions given by locally AdS spacetimes with nontrivial gauge fields are constructed, and BPS states are identified. It is shown that the charge algebra acquires a central extension due to the presence of the matter fields. The Bogomol'nyi bound for these charges is discussed. Special attention is devoted to the N = 4 case since then the gauge group has a U ( 1 ) central charge and the phase space possesses additional irregular sectors.

UR - http://www.scopus.com/inward/record.url?scp=33646784363&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2006.04.014

DO - 10.1016/j.physletb.2006.04.014

M3 - Article

AN - SCOPUS:33646784363

SN - 0370-2693

VL - 637

SP - 317

EP - 325

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 4-5

ER -