D-brane probes on L(a,b,c) Superconformal Field Theories

D-brane probes on L(a,b,c) Superconformal Field Theories

Gustavo Adolfo Canals (Oxford, Physics Univ.Uk) , Jose D. Edelstein (Santiago de Compostela U. & CECS, Valdivia) , Alfonso V. Ramallo (Santiago de Compostela U.)

US-FT-3-068 CECS-PHYS-08-5, May 2008. 20pp.
Published in JHEP 0609:038,2008.
e-Print: hep-th/0605270

We study supersymmetric embeddings of D-brane probes of different dimensionality in the AdS_5xL^ background of type IIB string theory. In the case of D3-branes, we recover the known three-cycles dual to the dibaryonic operators of the gauge theory and we also find a new family of supersymmetric embeddings. Supersymmetric configurations of D5-branes, representing fractional branes, and of spacetime filling D7-branes (which can be used to add flavor) are also found. Stable non supersymmetric configurations corresponding to fat strings and domain walls are found as well.

We propose a mechanism for origin of matter in the universe in the framework of Einstein-Gauss-Bonnet gravity in higher dimensions. The recently discovered new static black hole solution by the authors cite with the Kaluza-Klein split up of spacetime as a product of the usual ${ma M}^4$ with a space of negative constant curvature is indeed a pure gravitational creation of a black hole which is also endowed with a Maxwell-like {it gravitational charge} in four-dimensional vacuum spacetime. Further it could be envisioned as being formed from anti-de Sitter spacetime by collapse of radially inflowing charged null dust. It thus establishes the remarkable reciprocity between matter and gravity - as matter produces gravity (curvature), gravity too produces matter.

First, we analyze the compatibility of Dirac fermions with the hidden duality symmetries which appear in the toroidal compactification of gravitational theories down to three spacetime dimensions. We show that the Pauli couplings to the p-forms can be adjusted, for all simple (split) groups, so that the fermions transform in a representation of the maximal compact subgroup of the duality group G in three dimensions. Second, we investigate how the Dirac fermions fit in the conjectured hidden overextended symmetry G++. We show compatibility with this symmetry up to the same level as in the pure bosonic case. We also investigate the BKL behaviour of the Einstein-Dirac-p-form systems and provide a group theoretical interpretation of the Belinskii-Khalatnikov result that the Dirac field removes chaos.

adolfocanals@educ.ar