Институт теоретической и математической физики

МГУ имени М.В. Ломоносова

ITMP Seminar "Integrated four-point correlators in N=4 SYM"

ITMP Seminar
29 марта 2021

Dear Colleagues,

We are pleased to announce that the next ITMP seminar will be held on Wednesday, Mar 31, at 18:00 (Moscow time). The seminar will be arranged via Zoom.


Speaker: Dr. Congkao Wen, Queen Mary University of London

Title: Integrated four-point correlators in N=4 SYM

Abstract: In this talk, we will discuss integrated correlators of four superconformal primaries in N=4 super Yang-Mills, that are defined by integrating over spacetime coordinates of the four-point correlator with certain integration measures. The integrated correlators can be computed using supersymmetric localisation, which are expressed as N-dimensional matrix-model integrals. We will mostly focus on one of the integrated correlators. We find that this integrated correlator can be presented as a lattice sum, which makes manifest the SL(2, Z) modular invariance of N=4 SYM.  Furthermore, the integrated correlator obeys a remarkable Laplace-difference equation, which relates the correlator of SU(N) theory with those of SU(N-1) and SU(N+1) theories. The expression allows us to obtain exact results of the integrated correlator in various limits. For instance, in perturbation, the expression is checked to be consistent with known results in the literature; in the large-N limit, it is shown to match with the expected results from string theory due to AdS/CFT duality. 


If you want to join the seminar please register here before 14:00, March 31.

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