Supersymmetry in Singular Spaces

By Eric Bergshoeff, R. Kallosh, A. Proeyen. 2000

167 citations recorded by the source corpus.

Published in: J. High Energy Phys. 10 (2000) 033 citations recorded in [Science Citation Index] Abstract: We develop the concept of supersymmetry in singular spaces, apply it in an example for 3-branes in D=5 and comment on 8-branes in D=10. The new construction has an interpretation that the brane is a sink for the flux and requires adding to the standard supergravity a (D-1)-form field and a supersymmetry singlet field. This allows a consistent definition of supersymmetry on a S_1/Z_2 orbifold, the bulk and the brane actions being separately supersymmetric. Randall-Sundrum brane-worlds can be reproduced in this framework without fine tuning. For fixed scalars, the doubling of unbroken supersymmetries takes place and the negative tension brane can be pushed to infinity. In more general BPS domain walls with 1/2 of unbroken supersymmetries, the distance between branes in some cases may be restricted by the collapsing cycles of the Calabi-Yau manifold. The energy of any static x^5-dependent bosonic configuration vanishes, E=0, in analogy with the vanishing of the Hamiltonian in a closed universe.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ff7e57ed8d83fd95449fc0fb2d7c6c971b4a64d5

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In Atomic and Molecular Physics, and Optics

1. A. Proeyen
2. R. Kallosh
3. Eric Bergshoeff
4. T. D. Wit
5. S. Vandoren

In Nuclear and High Energy Physics

1. R. Kallosh
2. Andrei Linde
3. A. Proeyen
4. D. Roest
5. Eric Bergshoeff
6. G. Dall’Agata
7. A. Ceresole
8. T. D. Wit

Citations in the corpus

• Hypermultiplets, domain walls and supersymmetric attractors (2001, methodology): “Conversely, it is likely that a realistic one–brane Randall–Sundrum scenario can be constructed on the basis of any of the models discussed above with at least one IR critical point by employing the method with supersymmetric singular brane sources [20].”
• Weyl multiplets of N=2 conformal supergravity in five dimensions (2001, methodology): “A modification of the theory allows solutions by inserting branes as singular insertions [13].”
• Superconformal N = 2, D = 5 matter with and without actions (2002, background): “It has been shown that solutions acceptable for a supersymmetric RS scenario can be found provided one allows for branes as singular insertions [11].”
• New formulations of D = 10 supersymmetry and D8-O8 domain walls (2001, methodology): “The duality relations of the first formulation also do not allow to obtain the generalization of the mechanism of [10], involving the replacement of the mass parameter G by a field G(x).”