3-branes on resolved conifold

By L. A. Zayas, A. Tseytlin. 2000

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The type-IIB supergravity solution describing a collection of regular and fractional D3-branes on the conifold (hep-th/0002159) was recently generalized to the case of the deformed conifold (hep-th/0007191). Here we present another generalization - when the conifold is replaced by the resolved conifold. This solution can be found in two different ways: (i) by first explicitly constructing the Ricci-flat Kahler metric on resolved conifold and then solving the supergravity equations for the D3-brane ansatz with constant dilaton and (self-dual) 3-form fluxes; (ii) by generalizing the ``conifold" ansatz of hep-th/0002159 in a natural ``asymmetric" way so that the 1-d action describing radial evolution still admits a superpotential and then solving the resulting 1-st order system. The superpotentials corresponding to the ``resolved" and ``deformed" cases turn out to have essentially the same simple structure. The solution for the resolved conifold case has the same asymptotic UV behaviour as in the conifold case, but unlike the deformed conifold case is still singular in the IR. The naked singularity is of repulson type and may have a brane resolution.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/30c43804bc7278dd1ee083f20e467b4d1498c82e

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Citations in the corpus

Fractional D-branes and their gauge duals (2000, background): “the fractional D3-branes has a naked singularity. As we discussed in the introduction, this fact is a feature that is shared also by other conﬁgurations which are dual to non-conformal gauge theories [12, 7, 13, 14, 16, 11, 15], and indeed possess a naked singularity at some r = r 0. Actually, the s”
Complex geometry of conifolds and a 5-brane wrapped on a 2-sphere (2000, methodology): “It has been shown in [3, 8] that the solutions representing configurations of (ordinary and fractional) D3-branes on singular [2, 3], deformed [4] and resolved [8] conifolds can be obtained by solving a system of first order equations.”
Symmetry breaking and axionic strings in the warped deformed conifold (2004, background): “5.1 10d Einstein equation 13 5.2 Analysing the scalar mode 15”
Dirichlet Branes and Mirror Symmetry (2009, background): “For n = 3, a corresponding metric on the small resolution of the node is also known explicitly [387], and is asymptotically conical with base the Einstein manifold T (1,1)/C2.”
D6 branes and M theory geometrical transitions from gauged supergravity (2001, background): “The small resolution of the conifold has a metric given by [20][21]”
Remarks on the Warped Deformed Conifold (2001, background): “τ/2) , k′ = Fcoth2(τ/2) , F′ = 1 2 (k− f) , (60) and h′ = −α f(1−F)+kF K2(τ)sinh2 τ , (61) where α= 4(g sMα′)2ε−8/3 . (62) These equations follow from a superpotential for the eﬀective radial problem [33]. Once we have the solutions to these diﬀerential equations, we can check that the 11 large τlim”
Gauge theory at large N and new G2 holonomy metrics (2001, unknown): “The ansatz depends on four functions.”