Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus
By E. D’Hoker, John W. Estes, M. Gutperle. 2007
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The complete Type IIB supergravity solutions with 16 supersymmetries are obtained on the manifold AdS4 ? S2 ? S2 ? ? with SO(2, 3) ? SO(3) ? SO(3) symmetry in terms of two holomorphic functions on a Riemann surface ?, which generally has a boundary. This is achieved by reducing the BPS equations using the above symmetry requirements, proving that all solutions of the BPS equations solve the full Type IIB supergravity field equations, mapping the BPS equations onto a new integrable system akin to the Liouville and Sine-Gordon theories, and mapping this integrable system to a linear equation which can be solved exactly. Amongst the infinite class of solutions, a non-singular Janus solution is identified which provides the AdS/CFT dual of the maximally supersymmetric Yang-Mills interface theory discovered recently. The construction of general classes of globally non-singular solutions, including fully back-reacted AdS5 ? S5 and supersymmetric Janus doped with D5 and/or NS5 branes, is deferred to a companion paper [1].
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a16e67df7e076cac1dae2ea614d35af64fd55569
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Citations in the corpus
- Warped AdS6 × S2 in Type IIB supergravity II: global solutions and five-brane webs (2017, methodology): “e by the choice of two locally holomorphic functions A on a two-dimensional Riemann surface whose global structure is as yet undetermined.1 In [1], we followed the strategy developed some time ago in [16,17,18], and utilized the integrable structure of the reduced BPS equations [19] along with the h”
- Exact half-BPS type IIB interface solutions II: flux solutions and multi-Janus (2007, methodology): “re of this type. In particular, a planar interface theory with 16 supersymmetries was predicted to exist in [3], and its AdS/CFT dual was indeed found to be a regular supersymmetric Janus solution in [1]. (The related problem of AdS/CFT duals to defect super-Yang-Mills theory in the probe limit was ”
- Janus configurations, Chern-Simons couplings, and The θ-Angle in $ \mathcal{N} = 4 $ super Yang-Mills theory (2008, background): “all supersymmetry. Later, 2 however, variants were found that preserve some supersymmetry and only part of the Rsymmetry [3], and in fact it is possible to preserve one-half of the full supersymmetry [4]. The unbroken supersymmetry algebra is then OSp(4|4), which is a “half-BPS” subalgebra of the fu”
- Gravity duals of half-BPS Wilson loops (2007, methodology): “In particular, we shall solve the BPS equations for our Ansatz explicitly in terms of two harmonic functions h1, h2 defined on a two-dimensional Riemann surface �. Indeed, many formulas in the present paper will be very similar or identical to the ones in [10, 11 ].”