Gaugino mass term for D-branes and Generalized Complex Geometry

• Autores: Graña, Mariana; Kovensky, Nicolas; Retolaza, Ander
• Año de publicación: 2020
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: D-BRANES; FLUX COMPACTIFICATIONS
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We compute the four-dimensional gaugino mass for a Dp-brane extended in spacetime and wrapping a cycle on the internal geometry in a warped compactification with fluxes. Motivated by the backreaction of gaugino bilinear VEVs, we use Generalized Complex Geometry to characterize the internal geometry as well as the cycle wrapped by the brane. We find that the RR fluxes and the non-closure of the generalized complex structures combine in the gaugino mass terms in the same form as they do in the bulk superpotential, while for the NSNS fluxes there is a crucial minus sign in the component normal to the brane. Our expression extends the known result for D3 and D7-branes in Calabi-Yau manifolds, where the gaugino masses are induced respectively by the imaginary anti-self dual and imaginary self-dual components of the complex 3-form flux G3.
Fil: Graña, Mariana. Universite Paris-Saclay ;
Fil: Kovensky, Nicolas. University of Southampton; Reino Unido. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Retolaza, Ander. Universite Paris-Saclay ;