On anomaly-free supergravity as an effective string theory

Abstract

The equations of motion of anomaly-free supergravity are shown to fulfil (to all orders in α ′ ) a differential condition corresponding to the one relating the Weyl anomaly coefficients for a non-linear sigma model representing a (heterotic) string propagating in a non-trivial background. This supports the possibility that anomaly-free supergravity could provide the complete massless effective theory for the heterotic string.

AdS/CFT correspondence beyond its supergravity approximation

“…Finally, it will be interesting to extend this work to various supergravity theories. Even though the field context of the supergravity theories would be more complicated, we expect that this procedure can be repeated for the full supergravity theories [5]- [9]. We also expect similar results to hold for the full supergravity action.…”

“…This is done by restricting to the analyses to the low energy effective field theory description of the string theory. It is known that the supergravity theories are low energy effective field theories obtained from the string theory [5]- [9]. So, according to the weak form of the AdS/CFT correspondence, the supergravity on AdS is dual to the boundary conformal field theory [10]- [13].…”