Canonical sectors of five-dimensional Chern–Simons theories

Mišković, Olivera; Troncoso, Ricardo; Zanelli, Jorge

doi:10.1016/j.physletb.2005.04.043

Cited by 45 publications

(65 citation statements)

References 33 publications

(40 reference statements)

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“…Generically, as it happens with all higher dimensional Chern-Simons theories, the system will possess degenerate dynamical sectors [26,27,28]. A deeper understanding of this problem would be required prior to any study of the quantum properties of the action (9).…”

Section: Discussion and Outlookmentioning

confidence: 99%

General relativity from a gauged Wess-Zumino-Witten term

2007

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Section: Discussion and Outlookmentioning

confidence: 99%

General relativity from a gauged Wess-Zumino-Witten term

2007

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“…In CS supergravity, β is proportional to 1 N − 1 4 , so that β = 0 corresponds to CS supergravity invariant under the super AdS group SU (2, 2|4). In that case, however, the theory has functionally dependent constraints around the most symmetric AdS background, that has to be specially dealt with [12,14,15]. The choice β = 3 avoids this problem since it implies N = 4.…”

Section: Jhep08(2014)083mentioning

confidence: 99%

“…The electromagnetic kinetic term is described by the Abelian CS action, 14) and the interaction between gravity and the electromagnetic field explicitly involves the torsion tensor,…”

Section: Jhep08(2014)083mentioning

confidence: 99%

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Black hole solutions in Chern-Simons AdS supergravity

Giribet

Merino

Mišković

et al. 2014

J. High Energ. Phys.

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We study charged AdS black hole solutions in five-dimensional Chern-Simons supergravity. The minimal supergroup containing such AdS 5 × U(1) configurations is the superunitary group SU(2, 2|N ). For this model, we find analytic black hole solutions that asymptote to locally AdS 5 spacetime at the boundary. A solution can carry U(1) charge provided the spacetime torsion is non-vanishing. Thus, we analyze the most general configuration consistent with the local AdS 5 isometries in Riemann-Cartan space. The coupling of torsion in the action resembles that of the universal axion of string theory, and it is ultimately due to this field that the theory acquires propagating degrees of freedom. Through a careful analysis of the canonical structure the local degrees of freedom of the theory are identified in the static symmetric sector of phase space.

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“…As a consequence, the conserved charges and their algebra can be obtained following the Regge-Teitelboim approach [36], and as shown in [22], they turn out to be…”

Section: Charge Algebramentioning

confidence: 94%

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

2006

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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 EinsteinHilbert 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.

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Canonical sectors of five-dimensional Chern–Simons theories

Cited by 45 publications

References 33 publications

General relativity from a gauged Wess-Zumino-Witten term

General relativity from a gauged Wess-Zumino-Witten term

Black hole solutions in Chern-Simons AdS supergravity

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

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