Generalized AdS-Lorentz deformed supergravity on a manifold with boundary

Abstract

The purpose of this paper is to explore the supersymmetry invariance of a particular supergravity theory, which we refer to as D=4 generalized AdS-Lorentz deformed supergravity, in the presence of a non-trivial boundary. In particular, we show that the so-called generalized minimal AdS-Lorentz superalgebra can be interpreted as a peculiar torsion deformation of osp(4|1), and we present the construction of a bulk Lagrangian based on the aforementioned generalized AdS-Lorentz superalgebra. In the presence of a non-trivial boundary of space-time, that is when the boundary is not thought of as set at infinity, the fields do not asymptotically vanish, and this has some consequences on the invariances of the theory, in particular on supersymmetry invariance. In this work, we adopt the so-called rheonomic (geometric) approach in superspace and show that a supersymmetric extension of a Gauss-Bonnet like term is required in order to restore the supersymmetry invariance of the theory. The action we end up with can be recast as a MacDowell-Mansouri type action, namely as a sum of quadratic terms in the generalized AdS-Lorentz covariant super field-strengths.

32 pages. Version accepted for publication in The European Physical Journal Plus (EPJP), Eur. Phys. J. Plus (2018) 133: 514. The final publication is available at Springer via https://doi.org/10.1140/epjp/i2018-12335-0. arXiv admin note: text overlap with arXiv:1802.06602

References in corpus (17)

• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Expanding Lie (super)algebras through abelian semigroups
• N=1 Supergravity and Maxwell superalgebras
• N=1 and N=2 pure supergravities on a manifold with boundary
• Generalized Poincare algebras and Lovelock-Cartan gravity theory
• Hidden Role of Maxwell Superalgebras in the Free Differential Algebras of D=4 and D=11 Supergravity
• Deformations of Maxwell Superalgebras and Their Applications
• Generalized Pure Lovelock Gravity
• Topological terms, AdS_2n gravity and renormalized Entanglement Entropy of holographic CFTs
• Conformal Mass in AdS gravity
• On the Supersymmetric Extension of Gauss-Bonnet like Gravity
• Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity
• Tensor calculus for supergravity on a manifold with boundary
• Supergravity in the group-geometric framework: a primer
• The supermultiplet of boundary conditions in supergravity
• An Analytic Method for $S$-Expansion involving Resonance and Reduction
• Renormalization of Entanglement Entropy from topological terms

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