Conformal Anomaly for Dilaton Coupled Theories from AdS/CFT Correspondence
نویسندگان
چکیده
Trace anomaly for dilaton coupled conformal theories on curved background with non-zero dilaton is found from supergravity side as an IR e ect using AdS/CFT correspondence. For d = 2 it coincides with the conformal anomaly for dilaton coupled scalar (up to total derivative term which is known to be ambiguous). In four-dimensional case we get conformal anomaly for N = 4 super YM theory interacting with conformal supergravity. In the same way the calculation of dilaton dependent conformal anomaly in higher dimensions seems to be much easier than using standard QFT methods. PACS: 04.60.Kz, 04.62.+v, 04.70.Dy, 11.25.Hf e-mail: [email protected] e-mail: [email protected]
منابع مشابه
ar X iv : h ep - t h / 02 01 21 0 v 2 1 4 Fe b 20 02 January 2002
Asymptotically de Sitter dilatonic space-time, holographic RG flow and conformal anomaly from (dilatonic) dS/CFT correspondence ABSTRACT The number of asymptotically de Sitter (non-singular) solutions of 5d dilatonic gravity with positive cosmological constant is found. These solutions are similar to the previously known asymptotically AdS spaces where dilaton may generate the singularity. Usin...
متن کاملAsymptotically de Sitter dilatonic space - time , holographic RG flow and conformal anomaly from ( dilatonic ) dS / CFT correspondence
The number of asymptotically de Sitter (non-singular) solutions of 5d dilatonic gravity with positive cosmological constant is found. These solutions are similar to the previously known asymptotically AdS spaces where dilaton may generate the singularity. Using these solutions the consistent c-function is proposed in the same way as in AdS/CFT. The consistency of RG flow gives further support f...
متن کاملConformal anomaly from dS / CFT correspondence
In frames of dS/CFT correspondence suggested by Strominger we calculate holographic conformal anomaly for dual euclidean CFT. The holographic renormalization group method is used for this purpose. It is explicitly demonstrated that two-dimensional and four-dimensional conformal anomalies (or corresponding central charges) have the same form as those obtained in AdS/CFT duality. [email protected]...
متن کاملQuantum Annihilation of Anti-de Sitter Universe
We discuss the role of conformal matter quantum effects (using large N anomaly induced effective action) to creation-annihilation of an Anti-de Sitter Universe. The quantum maximally supersymmetric Yang-Mills theory covariantly coupled with classical N = 4 conformal supergravity is considered as a typical example of conformal GUT. On a purely gravitational (supersymmetric) AdS background, the q...
متن کاملیادداشتی بر دوگانی AdS/CFT
We study duality of field theories in (d+1) dimensional flat Euclidean space and (d+1) dimensional Euclidean AdS space for both scalar the and vector fields. In the case of the scalar theory, the injective map between conformally coupled massless scalars in two spaces is reviewed. It is shown that for vector fields the injective map exists only in four dimensions. Since Euclidean AdS space is e...
متن کامل