Non-Abelian T-Dualizing the Resolved Conifold with Regular and Fractional D3-Branes

2014/11/27 by Karta Singh Kooner, K. S. Kooner, Kooner, K. S. +3 · 9 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Brane cosmology #Conifold #Cosmology and Gravitation Theories #Dual polyhedron #Duality (order theory) #FOS: Physical sciences #Field (mathematics) #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Supergravity #Supersymmetry #hep-th

paper · pdf · doi:10.48550/arxiv.1411.7433

published in arXiv (Cornell University) (Cornell University) · v2: 20 pages some rewording and references added

openalex publication_date 2014/11/27 · arxiv created 2015/06/10 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain new solutions of Type IIA and massive Type IIA supergravity. These solutions are the result of implementing a non-abelian T-duality along the internal SU(2) isometries of several D3-brane configurations on the resolved conifold, studied by Pando Zayas and Tseytlin. We first study the pure NS resolved conifold solution, then we add fluxes by placing a stack of D3-branes at the tip of the resolved conifold and finally we consider the system of regular and fractional D3-branes at the tip. We present the non-abelian T-duals associated with these backgrounds and study their geometries and fluxes. We briefly comment on some field theory features by studying couplings and the central charge of the dual field theory. We also analyze the supersymmetry of the dual solutions and show that for the system of only D3 branes the duality defines a map between backgrounds with SU(3) and orthogonal SU(2) structures.

Citations

• Entanglement as a probe of confinement
• Gauge theory and the excision of repulson singularities
• Some global aspects of duality in String Theory
• Towards the LargeNLimit of PureN<mml:mspace/>=<mml:mspace/>1Super Yang-Mills Theory
• The gravity duals of N=2 superconformal field theories

Cited by

• Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations

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