Abstract
Type IIB superstring theory has AdS 3 × S 3 × M 4 (where the manifold M 4 is either K 3 or T 4) solutions which preserve sixteen supersymmetries. In this paper we consider half-BPS solutions which are locally asymptotic to AdS 3 × S 3 × M 4 and preserve eight of the sixteen supersymmetries. We reduce the BPS equations and the Bianchi identity for the self-dual five-form field to a set of four differential equations. The complete local solution can be parameterized in terms of two harmonic and two holomorphic functions and all bosonic fields have explicit expressions in terms of these functions.
We analyze the conditions for global regularity and construct new half-BPS Janus-solutions which have two asymptotic AdS 3 regions. In addition, our analysis proves the global regularity of a class of solutions with more than two asymptotic AdS 3 regions.
Finally, we discuss the dual interpretation of the half-BPS Janus solutions carrying only Ramond-Ramond three-form charge as supersymmetric interface theories.
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Chiodaroli, M., Gutperle, M. & Krym, D. Half-BPS solutions locally asymptotic to AdS 3 × S 3 and interface conformal field theories. J. High Energ. Phys. 2010, 66 (2010). https://doi.org/10.1007/JHEP02(2010)066
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DOI: https://doi.org/10.1007/JHEP02(2010)066