The dynamical structure of higher dimensional Chern-Simons theory

Bañados, Máximo; Garay, Luis J.; Henneaux, Marc

doi:10.1016/0550-3213(96)00384-7

Cited by 111 publications

(175 citation statements)

References 34 publications

(50 reference statements)

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“…Namely, these theories are by construction invariant under spacetime diffeomorphisms and gauge transformations, but one diffeomorphism is always dependent from the gauge transformations in generic CS theories, that is, the ones that possess minimal number of local symmetries [8,9]. It may happen, however, that the CS theory is not generic, but it possesses accidental local symmetries, where "accidental" means that they appear only around some backgrounds.…”

Section: Jhep08(2014)083 5 Local Symmetriesmentioning

confidence: 99%

“…At those degeneracy surfaces the system acquires extra gauge symmetry and looses dynamical degrees of freedom. This is a generic feature of higher dimensional CS systems [8,9,14], but it has been known to exist in all generic Lovelock theories [27][28][29] (see also the discussions in [30][31][32] and references therein), as well as in many mechanical systems [33]. In the above solution, both χ r (r) and ψ r (r) remain undetermined, as θ(r) and η(r) are arbitrary functions of r. General Lovelock theory has a pathological structure of its phase space because of the non-invertible relation between the metric and its conjugate momentum [28,29].…”

Section: Torsion and Degeneracymentioning

confidence: 99%

“…On the other hand, the degrees of freedom can be counted for generic CS gauge theories in D = 2k + 1 for a non-Abelian Lie algebra with N generators [8,9]: the theory has N first class constraints G M ≈ 0 (generators of gauge transformations) and a set of 2kN mixed first and second class constraints φm M ≈ 0, wherem = (t, m) denotes the boundary spacetime indices. In general, there is no simple algorithm to separate first and second class constraints among the φm M .…”

Section: Counting Of Degrees Of Freedommentioning

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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Section: Jhep08(2014)083 5 Local Symmetriesmentioning

confidence: 99%

Section: Torsion and Degeneracymentioning

confidence: 99%

Section: Counting Of Degrees Of Freedommentioning

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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“…Unlike in three dimensions, higher-dimensional Chern-Simons gravity is not topological, but possesses propagating degrees of freedom [38] which number may vary from a sector to another in the phase space [39]. When the number of degrees of freedom is fewer than maximal, it is said that the sector is irregular [39].…”

Section: Chern-simons-adsmentioning

confidence: 99%

Counterterms in dimensionally continued AdS gravity

Mišković¹,

Olea²

2007

J. High Energy Phys.

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We revise two regularization mechanisms for Lovelock gravity with AdS asymptotics. The first one corresponds to the Dirichlet counterterm method, where local functionals of the boundary metric are added to the bulk action on top of a Gibbons-Hawking-Myers term that defines the Dirichlet problem in gravity. The generalized Gibbons-Hawking term can be found in any Lovelock theory following the Myers' procedure to achieve a well-posed action principle for a Dirichlet boundary condition on the metric, which is proved to be equivalent to the Hamiltonian formulation for a radial foliation of spacetime. In turn, a closed expression for the Dirichlet counterterms does not exist for a generic Lovelock gravity. The second method supplements the bulk action with boundary terms which depend on the extrinsic curvature (Kounterterms), and whose explicit form is independent of the particular theory considered. In this paper, we use Dimensionally Continued AdS Gravity (Chern-Simons-AdS in odd and Born-Infeld-AdS in even dimensions) as a toy model to perform the first explicit comparison between both regularization prescriptions. This can be done thanks to the fact that, in this theory, the Dirichlet counterterms can be readily integrated out from the divergent part of the Dirichlet variation of the action. The agreement between both procedures at the level of the boundary terms suggests the existence of a general property of any Lovelock-AdS gravity: intrinsic counterterms are generated as the difference between the Kounterterm series and the corresponding GibbonsHawking-Myers term.

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“…On the other hand, the constraints G a could be secondary, or a linear combination of primary and secondary constraints, as it happens in Chern-Simons case [5].…”

Section: Canonical Representation Of the Generatorsmentioning

confidence: 99%

Gravity with a non-Abelian gauge symmetry in a Hamiltonian way

Mišković

Vukašinac

2018

J. Phys.: Conf. Ser.

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Abstract. In this note we study possible derivation of new gravitational actions which are also invariant under a non-Abelian gauge symmetry. We start from a canonical representation of symmetry generators and define the corresponding canonical action which can also contain additional Hamiltonian constraints not related to local symmetries. The obtained class of theories possess between zero and some finite number of degrees of freedom. We discuss three special cases, starting with a theory with maximal number of degrees of freedom and finishing with a theory with zero degrees of freedom.

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The dynamical structure of higher dimensional Chern-Simons theory

Cited by 111 publications

References 34 publications

Black hole solutions in Chern-Simons AdS supergravity

Black hole solutions in Chern-Simons AdS supergravity

Counterterms in dimensionally continued AdS gravity

Gravity with a non-Abelian gauge symmetry in a Hamiltonian way

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