Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus - INSPIRE

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Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus

May, 2007

69 pages

Published in:

JHEP 06 (2007) 021

e-Print:

0705.0022 [hep-th]

DOI:

10.1088/1126-6708/2007/06/021

Report number:

UCLA-07-TEP-09

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Abstract: (arXiv)

The complete Type IIB supergravity solutions with 16 supersymmetries are obtained on the manifold

AdS_4 \times S^2 \times S^2 \times \Sigma

with

SO(2,3) \times SO(3) \times SO(3)

symmetry in terms of two holomorphic functions on a Riemann surface

\Sigma

, 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

AdS_5 \times S^5

and supersymmetric Janus doped with D5 and/or NS5 branes, is deferred to a companion paper.

Note:

LaTeX, 69 pages, 3 figures, v2: references added

string model
supersymmetry
dimension: 10
field equations: solution
supergravity
soliton: BPS
integrability
AdS/CFT correspondence
gauge field theory: Yang-Mills
S-duality

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