On the geometry of string duals with backreacting flavors

Abstract

Making use of generalized calibrated geometry and G-structures we put the problem of finding string-duals with smeared backreacting flavor branes in a more mathematical setting. This more formal treatment of the problem allows us to easily smear branes without good coordinate representations, establish constraints on the smearing form and identify a topological central charge in the SUSY algebra. After exhibiting our methods for a series of well known examples, we apply them to the problem of flavoring a supergravity-dual to a d = 2 + 1 dimensional N = 2 super Yang-Mills-like theory. We find new solutions to both the flavored and unflavored systems. Interpretating these turns out to be difficult. * pyjg@swansea.ac.uk † pyjs@swansea.ac.uk

Fermions on the antibrane: Higher order interactions and spontaneously broken supersymmetry

“…As we will see, the answer to this question is in affirmative, and to show this we need only minimal knowledge of brane actions 23 . In particular, we can use string dualities to deduce the structure of the all order fermionic action, without needing precise information as to the form of the higher order operators.…”

“…The goal of this section will be to study the action (2.1) or (2.2) in a resolved conifold with an arbitrary amount of D3 branes and delocalized five branes (see [23] and [22] for more details on delocalized sources). More precisely, we will put a D3-brane in a supersymmetric background with metric given by: 6) where e φ is related to type IIB dilaton e φ B as φ B = −φ and the factor ∆ encodes the backreaction of the 3-branes.…”

“…The SUSY condition also forces the (1, 2) components of G 3 to vanish identically. One can see that the boost parameter β, which counts the units of F 3 flux, or equivalently the number of delocalized ( [23]) five-branes, in the resolved conifold background, controls the amount of ISD flux. Naively, if we take β → 0, the flux vanishes.…”

“…This results in non-zero m 13 , m 23 and even more notably m 01 , m 02 . Note that m 11 , m 12 , m 22 remain vanishing, so even when both the 3-form and the 5-form fluxes contribute mass terms, there is still a massless degree of freedom remaining.…”

“…On the other hand, for the fermionic components no additional work 23 See [33], [34], and [35], for more recent related works on the Volkov-Akulov actions.…”