Home » Type IIB supergravity flux solutions with sixteen supersymmetries: Holographic duals of interfaces, defects, and Wilson lines. by John Aldon Estes
Type IIB supergravity flux solutions with sixteen supersymmetries: Holographic duals of interfaces, defects, and Wilson lines. John Aldon Estes

Type IIB supergravity flux solutions with sixteen supersymmetries: Holographic duals of interfaces, defects, and Wilson lines.

John Aldon Estes

Published
ISBN : 9780549980568
NOOKstudy eTextbook
230 pages
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 About the Book 

We analytically solve type IIB supergravity for two large classes of solutions preserving sixteen supersymmetries. The first class consists of all solutions whose geometry is the warped product of AdS 4, S2 and S 2 fibered over a two dimensional baseMoreWe analytically solve type IIB supergravity for two large classes of solutions preserving sixteen supersymmetries. The first class consists of all solutions whose geometry is the warped product of AdS 4, S2 and S 2 fibered over a two dimensional base space Sigma with symmetry SO(2, 3) x SO(3) x SO(3). The second contains all solutions whose geometry is the warped product of AdS2, S2, and S4 fibered over a two dimensional base space Sigma with symmetry SO(2, 1) x SO(3) x SO(5). Both sets of solutions are parameterized, up to conformal transformations, by two arbitrary holomorphic functions on Sigma. General conditions for regularity are derived for both solutions. In the first case we find the supersymmetric version of Janus which provides the AdS /CFT dual of the recently discovered maximally supersymmetric interface gauge theory. More general solutions corresponding to intersecting D3/D5/NS5-branes are constructed. They contain multiple asymptotically AdS 5 x S5 regions as well as non-contractible three spheres which support the D5- and NS5- flux. In the second case we find geometries which correspond to the AdS/CFT dual of maximally supersymmetric Wilson loops. These geometries always contain a single asymptotic AdS 5 x S5 region, but again support non-contractible three and fives spheres. These geometries confirm a recent conjecture that the holographic dual of such Wilson loops should contain D3- and D5- branes as well as F1-strings. In both cases the solutions are parameterized by a genus g hyperelliptic surface, Sigma, all of whose branch points lie on a single line. In addition, the harmonic functions must satisfy certain vanishing conditions on this line. After all such conditions are met, there are 4g + 6 parameters left in the first case and 2g + 5 in the second.