Quaternionic Kaehler Detour Complexes and N=2 Supersymmetric Black Holes - High Energy Physics - TheoryReportar como inadecuado




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Abstract: We study a class of supersymmetric spinning particle models derived from theradial quantization of stationary, spherically symmetric black holes of fourdimensional N= 2 supergravities. By virtue of the c-map, these spinningparticles move in quaternionic Kaehler manifolds. Their spinning degrees offreedom describe mini-superspace-reduced supergravity fermions. We quantizethese models using BRST detour complex technology. The construction of anilpotent BRST charge is achieved by using local worldline supersymmetryghosts to generating special holonomy transformations. An interestingbyproduct of the construction is a novel Dirac operator on the superghostextended Hilbert space. The resulting quantized models are gauge invariantfield theories with fields equaling sections of special quaternionic vectorbundles. They underly and generalize the quaternionic version of Dolbeaultcohomology discovered by Baston. In fact, Baston-s complex is related to theBPS sector of the models we write down. Our results rely on a calculus ofoperators on quaternionic Kaehler manifolds that follows from BRST machinery,and although directly motivated by black hole physics, can be broadly appliedto any model relying on quaternionic geometry.



Autor: David Cherney, Emanuele Latini, Andrew Waldron

Fuente: https://arxiv.org/



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