Article

# Branes with fluxes wrapped on spheres

• ##### Rafael Hernandez
Journal of High Energy Physics (Impact Factor: 5.62). 05/2002; DOI: 10.1088/1126-6708/2002/07/045
Source: arXiv

ABSTRACT Following an eight-dimensional gauged supergravity approach we construct the most general solution describing D6-branes wrapped on a Kahler four-cycle taken to be the product of two spheres of different radii. Our solution interpolates between a Calabi-Yau four-fold and the spaces S^2xS^2xS^2xR^2 or S^2xS^2xR^4, depending on generic choices for the parameters. Then we turn on a background four-form field strength, corresponding to D2-branes, and show explicitly how our solution is deformed. For a particular choice of parameters it represents a flow from a Calabi-Yau four-fold times the three-dimensional Minkowski space-time in the ultraviolet, to the space-time AdS_4xQ^{1,1,1} in the infrared. In general, the solution in the infrared has a singularity which within type-IIA supergravity corresponds to the near horizon geometry of the solution for the D2-D6 system. Finally, we uncover the relation with work done in the eighties on Freund-Rubin type compactifications. Comment: 15 pages, Latex

0 Bookmarks
·
77 Views
• Source
##### Article: Supergravity duals of non-commutative wrapped D6-branes and supersymmetry without supersymmetry
[Hide abstract]
ABSTRACT: We construct the supergravity solution in 11 dimensions describing D6-branes wrapped around a Kähler four-cycle with a B-field along the flat directions of the brane. The configuration is dual to an N = 2 non-commutative gauge theory in 2 + 1 dimensions. We also construct the four associated independent Killing spinors. The phenomenon of supersymmetry without supersymmetry appears naturally when compactifying to type-IIA or 8d gauged supergravity. Therefore, this solution also provides an 11d background with four supercharges and four-form flux, which is not obtainable from 8d gauged supergravity. 11d 2 2.2 Compactification to type IIA and supersymmetry 6 2.3 Compactification to 8d gauged sugra and supersymmetry 7 3. Non-commutative wrapped D6-branes 8 3.1 Commutative wrapped D6-branes 8 3.2 Non-commutative wrapped D6 10 3.3 Compactifications to type-IIA and to 8d gauged sugra 13 4. Conclusions 13
Journal of High Energy Physics 10/2002; 10:016. · 5.62 Impact Factor
• Source
##### Article: Supersymmetric solutions based on Y^p^,^q and L^p^,^q^,^r [rapid communication]
[Hide abstract]
ABSTRACT: We explicitly realize supersymmetric cones based on the five-dimensional Y and L Einstein Sasaki spaces. We use them to construct supersymmetric type IIB supergravity solutions representing a stack of D3- and D5-branes as warped products of the six-dimensional cones and R.
Physics Letters B 10/2005; 625(1-2):135-144. · 4.57 Impact Factor
• Source
##### Article: BPS $M2$-branes in $AdS_4\times Q^{1, 1, 1}$ Dual to Loop Operators
[Hide abstract]
ABSTRACT: In this paper, we first compute the Killing spinors of $AdS_4\times Q^{1, 1, 1}$ and its certain orbifolds. Based on this, two classes of $M2$-brane solutions are found. The first class of solutions includes $M2$-branes dual to Wilson loops in the fundamental representation as special cases. The second class includes the candidates of the holographic description of vortex loops in the dual field theories.
12/2013;