The warped, resolved, deformed conifold gets flavoured

Abstract

We discuss a simple transformation that allows to generate SU (3) structure solutions of Type IIB supergravity with RR fluxes, starting from non-Kähler solutions of Type I supergravity. The method may be applied also in the presence of supersymmetric source branes. We apply this transformation to a solution describing fivebranes wrapped on the S 2 of the resolved conifold with additional flavour fivebrane sources. The resulting solution is a generalisation of the resolved deformed conifold solution of Butti et al [1] by the addition of D5 brane and D3 brane sources. We propose that this solution may be interpreted in terms of a combined effect of Higgsing and cascade of Seiberg dualities in the dual field theory.1 pyjg@swansea.ac.uk

Confinement, phase transitions and non-locality in the entanglement entropy

“…This second solution is well described in the papers [42,43] -see section 4 of the paper [44] for a good summary.…”

Wilson loops in warped resolved deformed conifolds

“…In particular, we examine the possibility of there being a minimum separation for probe strings which do not penetrate close to the origin of the bulk space, and derive a condition which determines whether this is the case. We then apply these considerations to the flavoured resolved deformed conifold background of Gaillard et al [1]. We suggest that the unusual behaviour we observe in this solution is likely to be related to the IR singularity which is not present in the unflavoured case.…”

“…We discuss the possible behaviour of the function E(L), and of the string shape in sections 3-4. We then demonstrate the results of the preceding sections with respect to some well-understood backgrounds (section 5), before applying them to the flavoured resolved deformed conifold [1] in section 6.…”

“…These expressions also apply in the flavoured generalisation, described in [1]. However, the ρ-dependence of the functions is different.…”

“…The 'rotated' solution therefore has different UV asymptotics in the flavoured case. This is interpreted in [1] as resulting from smeared source D3 branes, uniformly distributed in ρ. These result from the action of the 'rotation' on the source D5 branes, in the same way as in the unflavoured case the 'rotated' solution has bulk D3 branes resulting from the colour D5 branes in the 'unrotated' solution.…”