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UNIVERSITY OF CALIFORNIA, SANTA BARBARA BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
 

Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
CSANTA BARBARA SANTA CRUZ
Geometry, Topology, and Physics Seminar
Exact half-BPS solutions to type IIB supergravity
Eric D'Hoker
UCLA
Friday, November 2, 2007, 4:00 p.m.
Room 6635 South Hall
Abstract: 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

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics