Dipole-deformed bound states and heterotic Kodaira surfaces

Abstract

We study a particular N = 1 confining gauge theory with fundamental flavors realised as seven branes in the background of wrapped five branes on a rigid two-cycle of a non-trivial global geometry. In parts of the moduli space, the five branes form bound states with the seven branes. We show that in this regime the local supergravity solution is surprisingly tractable, even though the background topology is non-trivial. New effects such as dipole deformations may be studied in detail, including the full backreactions. Performing the dipole deformations in other ways leads to different warped local geometries. In the dual heterotic picture, which is locally given by a C * fibration over a Kodaira surface, we study details of the geometry and the construction of bundles. We also point out the existence of certain exotic bundles in our framework.

D-terms on the resolved conifold

“…The latter, however, gives rise to a bound state of a D5 brane with the D7 branes. Such a technique of restoring supersymmetry has already been discussed in [72,73] and could probably be used to restore supersymmetry in the limit where the resolution parameter a goes to zero. This would then be one simple way of restoring supersymmetry in the original Ouyang construction [22].…”

Gauge-gravity dualities, dipoles and new non-Kähler manifolds

“…In [41] we will discuss a toy example where an exact equality in (4.4) (and also in (2.34)) is realised.…”

“…But a full supergravity analysis of these new constructions still awaits a thorough treatment. We will not attempt this here, and a more detailed analysis on this will be presented soon in [41].…”

Metastable vacua and complex deformations

“…It would be interesting to study these configurations as SUGRA solutions. This would imply to study D5 branes wrapped on 2-cycles obtained from the original P 1 cycle by deforming them in the normal bundle directions and this would generalize the results of [17] - [22] where SUGRA solutions for D5 on P 1 cycle were built.…”