Symplectically invariant flow equations for N=2, D=4 gauged supergravity with hypermultiplets
| Autor: | Marco Rabbiosi, Nicolò Petri, Dietmar Klemm |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics 010308 nuclear & particles physics Supergravity Gauged supergravity Superpotential Equations of motion FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology High Energy Physics - Theory (hep-th) 0103 physical sciences Attractor Covariant transformation 010306 general physics Effective action Ansatz Mathematical physics |
| Zdroj: | Journal of High Energy Physics |
| DOI: | 10.48550/arxiv.1602.01334 |
| Popis: | We consider N=2 supergravity in four dimensions, coupled to an arbitrary number of vector- and hypermultiplets, where abelian isometries of the quaternionic hyperscalar target manifold are gauged. Using a static and spherically or hyperbolically symmetric ansatz for the fields, a one-dimensional effective action is derived whose variation yields all the equations of motion. By imposing a sort of Dirac charge quantization condition, one can express the complete scalar potential in terms of a superpotential and write the action as a sum of squares. This leads to first-order flow equations, that imply the second-order equations of motion. The first-order flow turns out to be driven by Hamilton's characteristic function in the Hamilton-Jacobi formalism, and contains among other contributions the superpotential of the scalars. We then include also magnetic gaugings and generalize the flow equations to a symplectically covariant form. Moreover, by rotating the charges in an appropriate way, an alternative set of non-BPS first-order equations is obtained that corresponds to a different squaring of the action. Finally, we use our results to derive the attractor equations for near-horizon geometries of extremal black holes. Comment: 27 pages, uses jheppub.sty. v2: Typos corrected, final version to be published in JHEP. v3: Prefactor in equ. (3.74) corrected |
| Databáze: | OpenAIRE |
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