Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory

Details Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory

1998-06-17

arxiv.org/abs/hep-th/9806146v3

JHEP 9807 (1998) 021

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, 1 Postscript figure, uses phyzzx macro. Monor corrections

Scientific paper

10.1088/1126-6708/1998/07/021

T-Duality on a timelike circle does not interchange IIA and IIB string theories, but takes the IIA theory to a type $IIB^*$ theory and the IIB theory to a type $IIA^*$ theory. The type $II^*$ theories admit E-branes, which are the images of the type II D-branes under timelike T-duality and correspond to imposing Dirichlet boundary conditions in time as well as some of the spatial directions. The effective action describing an E$n$-brane is the $n$-dimensional Euclidean super-Yang-Mills theory obtained by dimensionally reducing 9+1 dimensional super-Yang-Mills on $9-n$ spatial dimensions and one time dimension. The $IIB^*$ theory has a solution which is the product of 5-dimensional de Sitter space and a 5-hyperboloid, and the E4-brane corresponds to anon-singular complete solution which interpolates between this solution and flat space. This leads to a duality between the large $N$ limit of the Euclidean 4-dimensional U(N) super-Yang-Mills theory and the $IIB^*$ string theory in de Sitter space, and both are invariant under the same de Sitter supergroup. This theory can be twisted to obtain a large $N$ topological gauge theory and its topological string theory dual. Flat space-time may be an unstable vacuum for the type $II^*$ theories, but they have supersymmetric cosmological solutions.

Affiliated with

Also associated with

No associations

Rating

Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-453116