Exact one-point function of N=1 super-Liouville theory with boundary

作者: Changrim Ahn , Chaiho Rim , M. Stanishkov

DOI: 10.1016/S0550-3213(02)00296-1

关键词: PhysicsMixed boundary conditionMathematical analysisBoundary value problemBoundary conformal field theoryBoundary (topology)Neumann boundary conditionFree boundary problemConformal field theoryPseudosphere

摘要: Abstract In this paper, exact one-point functions of N=1 super-Liouville field theory in two-dimensional space–time with appropriate boundary conditions are presented. Exact results derived both for the defined on a pseudosphere discrete (NS) and explicit actions which preserves super conformal symmetries. We provide various consistency checks. also show that these can be related to generalized Cardy along corresponding modular S-matrices. Using result, we conjecture dependence two-point operators parameter.

参考文章(27)
Alexander B. Zamolodchikov, Alexei B. Zamolodchikov, Liouville field theory on a pseudosphere Talk given at. pp. 280- 299 ,(2001)
Alexander B. Zamolodchikov, Alexei B. Zamolodchikov, V. Fateev, Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function arXiv: High Energy Physics - Theory. ,(2000)
Changrim Ahn, Chanju Kim, Chaiho Rim, HIDDEN RELATION BETWEEN REFLECTION AMPLITUDES AND THERMODYNAMIC BETHE ANSATZ Nuclear Physics. ,vol. 556, pp. 505- 529 ,(1999) , 10.1016/S0550-3213(99)00405-8
David Kastor, Modular invariance in superconformal models Nuclear Physics B. ,vol. 280, pp. 304- 320 ,(1987) , 10.1016/0550-3213(87)90150-7
G. Mussardo, G. Sotkov, M. Stanishkov, Fine structure of the supersymmetric operator product expansion algebras Nuclear Physics. ,vol. 305, pp. 69- 108 ,(1988) , 10.1016/0550-3213(88)90686-4
Y. Matsuo, S. Yahikozawa, Superconformal field theory with modular invariance on a torus Physics Letters B. ,vol. 178, pp. 211- 218 ,(1986) , 10.1016/0370-2693(86)91498-X
John L. Cardy, David C. Lewellen, Bulk and boundary operators in conformal field theory Physics Letters B. ,vol. 259, pp. 274- 278 ,(1991) , 10.1016/0370-2693(91)90828-E
Jean-Loup Gervais, The quantum group structure of 2D gravity and minimal models I Communications in Mathematical Physics. ,vol. 130, pp. 257- 283 ,(1990) , 10.1007/BF02473353
R.C. Rashkov, M. Stanishkov, Three-point correlation functions in N = 1 super Liouville theory Physics Letters B. ,vol. 380, pp. 49- 58 ,(1996) , 10.1016/0370-2693(96)00474-1
Hirosi Ooguri, Jongwon Park, Peter Lee, Boundary states for AdS2 branes in AdS3 Nuclear Physics. ,vol. 632, pp. 283- 302 ,(2002) , 10.1016/S0550-3213(02)00239-0