 
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 halfBPS 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 SineGordon theories, and mapping
this integrable system to a linear equation which can be solved exactly. Amongst the
infinite class of solutions, a nonsingular Janus solution is identified which provides
