Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-30
Nucl.Phys.B750:111-141,2006
Physics
High Energy Physics
High Energy Physics - Theory
44 pages, 4 figures. v2: references added
Scientific paper
10.1016/j.nuclphysb.2006.05.008
We present evidence that there is a non-trivial fixed point for the AdS_{D+1} non-linear sigma model in two dimensions, without any matter fields or additional couplings beyond the standard quadratic action subject to a quadratic constraint. A zero of the beta function, both in the bosonic and supersymmetric cases, appears to arise from competition between one-loop and higher loop effects. A string vacuum based on such a fixed point would have string scale curvature. The evidence presented is based on fixed-order calculations carried to four loops (corresponding to O(\alpha'^3) in the spacetime effective action) and on large D calculations carried to O(D^{-2}) (but to all orders in \alpha'). We discuss ways in which the evidence might be misleading, and we discuss some features of the putative fixed point, including the central charge and an operator of negative dimension. We speculate that an approximately AdS_5 version of this construction may provide a holographic dual for pure Yang-Mills theory, and that quotients of an AdS_3 version might stand in for Calabi-Yau manifolds in compactifications to four dimensions.
Friess Joshua J.
Gubser Steven S.
No associations
LandOfFree
Non-linear sigma models with anti-de Sitter target spaces 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 Non-linear sigma models with anti-de Sitter target spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-linear sigma models with anti-de Sitter target spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-398841