On metastable vacua and the warped deformed conifold: analytic results

Iosif Bena (1) , Gregory Giecold (1) , Graña Mariana (1) , Halmagyi Nick (1, 2) , Massai Stefano (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

Continuing the programme of constructing the backreacted solution corresponding to smeared anti-D3 branes in the warped deformed conifold, we solve analytically the equations governing the space of first-order deformations around this solution. We express the results in terms of at most three nested integrals. These are the simplest expressions for the space of SU (2)×SU (2)×Z$_2$-invariant deformations, in which the putative solution for smeared anti-D3 branes must live. We also explain why one cannot claim to identify this solution without fully relating the coefficients of the infrared and ultraviolet expansions of the deformation modes. The analytic solution we find is the first step in this direction.

Domains: High Energy Physics - Theory [hep-th]

Iosif Bena, Gregory Giecold, Graña Mariana, Halmagyi Nick, Massai Stefano. On metastable vacua and the warped deformed conifold: analytic results. Classical and Quantum Gravity, 2013, 30, pp.15003. ⟨10.1088/0264-9381/30/1/015003⟩. ⟨cea-00822436⟩