We study the sewing constraints for rational two-dimensional conformal field theory on oriented surfaces with possibly non-empty boundary. The boundary condition is taken to be the same on all segments of the boundary. The following uniqueness result is established: For a solution to the sewing constraints with nondegenerate closed state vacuum and nondegenerate two-point correlators of boundar...

We calculate baryon mass inN = 4 largeN gauge theory by means of AdS/CFT correspondence, and find that phase transitions occur when temperature or theta angle takes a critical value. Furthermore, we find there are bound states of Wbosons in Higgs phase. [email protected] Supported in part by Grant-in-Aid for Scientific Research from Ministry of Education, Science and Culture (#9110).

We explore subleading contributions to the two basic central charges c and a of four-dimensional conformal field theories in the AdS/CFT scheme. In particular we probe subleading corrections to the difference c− a from the string-theory side. In the N = 4 CFT, c− a vanish identically consistently with the string-theory expectations. However, for N = 1 and N = 2 CFTs, the UR(1) anomaly, which is...

We consider current-current correlators in 4d N = 1 SCFTs, and also 3d N = 2 SCFTs, in connection with AdS/CFT geometry. The superconformal U(1)R symmetry of the SCFT has the distinguishing property that, among all possibilities, it minimizes the coefficient, τRR of its two-point function. We show that the geometric Z-minimization condition of Martelli, Sparks, and Yau precisely implements τRR ...

The study of BTZ blackhole physics and the cosmological horizon of 3D de Sitter spaces are carried out in unified way using the connections to the Chern Simons theory on three manifolds with boundary. The relations to CFT on the boundary is exploited to construct exact partition functions and obtain logarithmic corrections to Bekenstein formula in the asymptotic regime. Comments are made on the...

Rational conformal field theories are reviewed from an (informal) axiomatic stand point. This approach sheds new light on the classification of conformal current algebra models. On the other hand, the study of 2D CFT gives rise to new questions in the general theory. We display as an example embeddings of local chiral algebras which are not of the Doplicher–Haag–Roberts type. The interrelation ...

We construct the general algebraic curve of degree four solving the classical sigma model on R × S. Up to two loops it coincides with the algebraic curve for the dual sector of scalar operators in N = 4 SYM, also constructed here. We explicitly reproduce some particular solutions. Membre de l’Institut Universitaire de France

We analyze the Coulomb branch of Matrix string theory in the presence of NS5branes. If we regard the components of U(1) gauge fields as the dualized longitudinal coordinates, we obtain the symmetric product of AdS3 × S3 × R4 as the geometry of Coulomb branch. We observe that the absence or presence of the nonzero electric flux determines whether the string propagates in bulk as an ordinary clos...

We give an overview of the correspondance between one-time-physics and two-time-physics. This is characterized by the presence of an SO(d, 2) symmetry and an Sp(2) duality among diverse one-time-physics systems all of which can be lifted to the same more symmetric two-time-physics system by the addition of gauge degrees of freedom. We provide several explicit examples of physical systems that s...