Conformal anomaly of submanifold observables in AdS/CFT correspondence☆
作者： C. Robin Graham , Edward Witten
DOI: 10.1016/S0550-3213(99)00055-3
关键词: Mathematical physics 、 Quantum electrodynamics 、 AdS/QCD correspondence 、 Conformal anomaly 、 Conformal field theory 、 Conformal symmetry 、 dS/CFT correspondence 、 AdS/CFT correspondence 、 Primary field 、 Submanifold 、 Physics
摘要: Abstract We analyze the conformal invariance of submanifold observables associated with k-branes in AdS/CFT correspondence. For odd k, resulting obsrvables are conformally invariant, and for even they transform a anomaly that is given by local expression which we detail k = 2.
harvard.edu
arxiv-vanity.com
elsevier.com
arxiv.org 参考文章(18)
Wolfgang Rindler, Roger Penrose, Spinors and space-time ,(1984)
Edward Witten, Anti de Sitter space and holography Advances in Theoretical and Mathematical Physics. ,vol. 2, pp. 253- 291 ,(1998) , 10.4310/ATMP.1998.V2.N2.A2
David Berenstein, Richard Corrado, Willy Fischler, Juan Maldacena, Operator product expansion for Wilson loops and surfaces in the large N limit Physical Review D. ,vol. 59, pp. 105023- ,(1999) , 10.1103/PHYSREVD.59.105023
Michael T. Anderson, Complete minimal hypersurfaces in hyperbolicn-manifolds Commentarii Mathematici Helvetici. ,vol. 58, pp. 264- 290 ,(1983) , 10.1007/BF02564636
Robert Hardt, Fang-Hua Lin, Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space Inventiones Mathematicae. ,vol. 88, pp. 217- 224 ,(1987) , 10.1007/BF01405098
Fang Hua Lin, On the Dirichlet problem for minimal graphs in hyperbolic space Inventiones Mathematicae. ,vol. 96, pp. 593- 612 ,(1989) , 10.1007/BF01393698
Juan Maldacena, Wilson Loops in LargeNField Theories Physical Review Letters. ,vol. 80, pp. 4859- 4862 ,(1998) , 10.1103/PHYSREVLETT.80.4859
Måns Henningson, Kostas Skenderis, Holography and the Weyl anomaly Protein Science. ,vol. 48, pp. 125- 128 ,(2000) , 10.1002/(SICI)1521-3978(20001)48:1/3<125::AID-PROP125>3.0.CO;2-B
Igor R. Klebanov, Steven S. Gubser, Alexander M. Polyakov, Gauge Theory Correlators from Non-Critical String Theory Physics Letters B. ,vol. 428, pp. 105- 114 ,(1998) , 10.1016/S0370-2693(98)00377-3
Yoshihiro Tonegawa, Existence an regularity of constant mean curvature hypersurfaces in hyperbolic space Mathematische Zeitschrift. ,vol. 221, pp. 591- 615 ,(1996) , 10.1007/BF02622135