ar X iv : h ep - t h / 99 03 19 4 v 2 2 3 M ar 1 99 9 The Wess - Zumino Model and the AdS 4 / CFT 3 Correspondence

ar X iv : h ep - t h / 99 03 19 4 v 1 2 2 M ar 1 99 9 The Wess - Zumino Model and the AdS 4 / CFT 3 Correspondence

We consider the non-interacting massive Wess-Zumino model in four-dimensional anti-de Sitter space and show that the conformal dimensions of the corresponding boundary fields do not always satisfy the relation expected from superconformal invariance.

ar X iv : h ep - t h / 99 03 20 9 v 1 2 4 M ar 1 99 9 SMI - Th – 99 / 04 AdS 3 / CFT 2 correspondence at finite temperature

The AdS/CFT correspondence is established for the AdS 3 space compactified on a solid torus with the CFT field on the boundary. Correlation functions that correspond to the bulk theory at finite temperature are obtained in the regularization a'la Gubser, Klebanov, and Polyakov. The BTZ black hole solutions in AdS 3 are T-dual to the solution in the AdS 3 space without singularity.

ar X iv : h ep - t h / 97 03 10 3 v 1 1 4 M ar 1 99 7 U ( 2 ) - chiral symmetries of supersymmetric QED 3

Supersymmetry is studied in 2+1 dimensions. In addition to the mul-tiplets corresponding to those in 3+1 dimensions the Clifford algebra allows an extra set. When the extra chiral multiplet is included, formulating supersymmetric QED3 in the manner of Wess and Zumino yields a lagrangian with a richer 'chiral' symmetry than that derived from super-symmetric QED by dimensional reduction.

ar X iv : h ep - t h / 99 04 03 9 v 2 7 A pr 1 99 9 A Regularization Scheme for the AdS / CFT Correspondence

The prescription of the AdS/CFT correspondence is refined by using a regularization procedure, which makes it possible to calculate the divergent local terms in the CFT two-point function. We present the procedure for the example of the scalar field. Email address: [email protected] Email address: [email protected]

ar X iv : h ep - t h / 99 03 05 4 v 2 2 0 O ct 1 99 9 INJE - TP - 99 - 2 Scattering from an AdS 3 bubble and an exact AdS