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 -