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On the Dirac eigenvalues as observables of the on-shell N = 2D = 4 Euclidean supergravity

100%

Vancea I.

vol. 6

issue 4

864-871

We generalize previous works on the Dirac eigenvalues as dynamical variables of Euclidean gravity and N =1 D = 4 supergravity to on-shell N = 2 D = 4 Euclidean supergravity. The covariant phase space of the theory is defined as the space of the solutions of the equations of motion modulo the on-shell gauge transformations. In this space we define the Poisson brackets and compute their value for the Dirac eigenvalues.

Symmetric M-theory backgrounds

88%

Figueroa-O’Farrill J.

Open Physics

2013

vol. 11

issue 1

1-36

We classify symmetric backgrounds of eleven-dimensional supergravity up to local isometry. In other words, we classify triples (M, g, F), where (M,g) is an eleven-dimensional lorentzian locally symmetric space and F is an invariant 4-form, satisfying the equations of motion of eleven-dimensional supergravity. The possible (M,g) are given either by (not necessarily nondegenerate) Cahen-Wallach spaces or by products AdSd × M11−d for 2 ⩽ d ⩽ 7 and M11−d a not necessarily irreducible riemannian symmetric space. In most cases we determine the corresponding F-moduli spaces.

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On the Dirac eigenvalues as observables of the on-shell N = 2D = 4 Euclidean supergravity

Symmetric M-theory backgrounds