1 SUSY Conformal Block Recursive Relations

نویسنده

  • V. A. Belavin
چکیده

We present explicit recursive relations for the four-point superconformal block functions that are essentially particular contributions of the given conformal class to the four–point correlation function. The approach is based on the analytic properties of the superconformal blocks as functions of the conformal dimensions and the central charge of the superconformal algebra. The results are compared with the explicit analytic expressions obtained for special parameter values corresponding to the truncated operator product expansion. These recursive relations are an efficient tool for numerically studying the four–point correlation function in Super Conformal Field Theory in the framework of the bootstrap approach, similar to that in the case of the purely conformal symmetry.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the N=1 super Liouville four-point functions

We construct the four-point correlation functions containing the top component of the supermultiplet in the Neveu–Schwarz sector of the N=1 SUSY Liouville field theory. The construction is based on the recursive representation for the NS conformal blocks. We test our results in the case where one of the fields is degenerate with a singular vector on the level 3/2. In this case, the correlation ...

متن کامل

On non-conformal limit of the AGT relations

The Seiberg-Witten prepotentials for N = 2 SUSY gauge theories with Nf < 2Nc fundamental multiplets are obtained from conformalNf = 2Nc theory by decoupling 2Nc−Nf multiplets of heavy matter. This procedure can be lifted to the level of Nekrasov functions with arbitrary background parameters ǫ1 and ǫ2. The AGT relations imply that similar limit exists for conformal blocks (or, for generic Nc > ...

متن کامل

Quantum geometry from the toroidal block

We continue our study of the semi-classical (large central charge) expansion of the toroidal one-point conformal block in the context of the 2d/4d correspondence. We demonstrate that the Seiberg-Witten curve and ( 1-deformed) differential emerge naturally in conformal field theory when computing the block via null vector decoupling equations. This framework permits us to derive 1-deformations o...

متن کامل

9 Supersymmetry breaking , R - symmetry , and conformal dynamics Yuji Omura

We study N = 1 global and local supersymmetric theories with a continuous global U(1)R symmetry. We discuss conditions for supersymmetry (SUSY) breaking and vacuum structures of R-symmetric SUSY models. Especially we find the conditions for R-symmetry breaking and runway vacua in global supersymmetric theories. We introduce explicit R-symmetry breaking terms into such models in global and local...

متن کامل

2 00 9 Supersymmetry breaking , R - symmetry , and conformal

We study N = 1 global and local supersymmetric theories with a continuous global U(1)R symmetry. We discuss conditions for supersymmetry (SUSY) breaking and vacuum structures of R-symmetric SUSY models. Especially we find the conditions for R-symmetry breaking and runway vacua in global supersymmetric theories. We introduce explicit R-symmetry breaking terms into such models in global and local...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006