On the fakeness of fake supergravity
- Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D B-3001 Leuven (Belgium)
- INFN, Sezione di Torino and Dipartimento di Fisica Teorica, Universita di Torino, Via P. Giuria 1, I-10125 Torino (Italy)
- Institut fuer Physik, Humboldt Universitaet, Newtonstrasse 15, 12489 Adlershof, Berlin, Germany. From 1st October: Theory Unit, CERN, Geneva 23, CH1211 (Switzerland)
- Department of Physics, Stanford University, Varian Building, Stanford, California 94305-4060 (United States)
We revisit and complete the study of curved BPS-domain walls in matter-coupled 5D, N=2 supergravity and carefully analyze the relation to gravitational theories known as ''fake supergravities.'' We first show that curved BPS-domain walls require the presence of nontrivial hypermultiplet scalars, whereas walls that are solely supported by vector multiplet scalars are necessarily flat, due to the constraints from very special geometry. We then recover fake supergravity as the effective description of true supergravity where one restricts the attention to the flowing scalar field of a given BPS-domain wall. In general, however, true supergravity can be simulated by fake supergravity at most locally, based upon two choices: (i) a suitable adapted coordinate system on the scalar manifold, such that only one scalar field plays a dynamical role, and (ii) a gauge fixing of the SU(2) connection on the quaternionic-Kaehler manifold, as this connection does not fit the simple formalism of fake supergravity. Employing these gauge and coordinate choices, the BPS-equations for both vector and hypermultiplet scalars become identical to the fake supergravity equations, once the line of flow is determined by the full supergravity equations.
- OSTI ID:
- 20706048
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 71, Issue 4; Other Information: DOI: 10.1103/PhysRevD.71.045009; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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