Abstract
We construct a new solution of type IIB supergravity with eight supercharges by applying non-Abelian T-duality to the AdS5 × S5 solution, along the SU(2) isometries in both the internal and Lorentz symmetries. The study of quantised charges and D-brane embeddings suggests a configuration of D1 and D3’-branes that polarise into concentric, spherical, D3 and D5-branes due to the Myers dielectric effect. We find that our solution is dual to a IIB matrix model with fuzzy sphere vacua characterised by partitions of the number of D1 and D3’-branes. We also study the solution obtained via (Abelian) T-dualities along the S1 fiber angles inside the S3’s of the AdS5 × S5 solution. In addition, we point out a precise relation between NATD and ATD solutions by considering a double scaling limit in the NATD solutions. In the particular case of the solutions obtained by a single (non-)Abelian T-duality inside the Lorentz symmetries of the AdS5 × S5 solution, we demonstrate that the double scaling limit provides a supergravity realisation of the relations between the vacua of the half-BPS theories studied by Lin and Maldacena.
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van Gorsel, J., Zacarías, S. A type IIB matrix model via non-Abelian T-dualities. J. High Energ. Phys. 2017, 101 (2017). https://doi.org/10.1007/JHEP12(2017)101
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DOI: https://doi.org/10.1007/JHEP12(2017)101