PIRSA:25100142

Video URL

https://pirsa.org/25100142

Complex Matrix Models for Protected Correlators of N=4 SYM

Kazakov, V. (2025). Complex Matrix Models for Protected Correlators of N=4 SYM. Perimeter Institute for Theoretical Physics. https://pirsa.org/25100142

Kazakov, Vladimir. Complex Matrix Models for Protected Correlators of N=4 SYM. Perimeter Institute for Theoretical Physics, Oct. 07, 2025, https://pirsa.org/25100142 

          @misc{ scivideos_PIRSA:25100142,
            doi = {10.48660/25100142},
            url = {https://pirsa.org/25100142},
            author = {Kazakov, Vladimir},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Complex Matrix Models for Protected Correlators of N=4 SYM},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {oct},
            note = {PIRSA:25100142 see, \url{https://scivideos.org/index.php/pirsa/25100142}}
          }

Vladimir Kazakov École Normale Supérieure - PSL

Talk numberPIRSA:25100142
DOI10.48660/25100142
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

I will present a complex matrix model (CMM) for the computation of protected two-point and three-point correlation functions of 1/2-BPS operators. The model can be efficiently studied in large N limit for huge operators (with dimensions ~N^2). An advantage of this approach is the direct identification of the distribution of eigenvalues of complex matrix with the shapes of droplets in Lin-Lunin-Maldacena (LLM) bubbling geometry. For correlators of two huge operators with a small SO(4) symmetric "probe" operator (with dimension N^0) we established a perfect correspondence with old computations of Skenderis-Taylor in dual LLM gravity. CMM allows efficient analytic study of certain two- and three-point correlators of huge operators of exponential and coherent state types and relates these problems to the Laplacian growth and 2d quantum gravity. We also compute explicitly the correlators of two huge operators with giant magnon operator. In a much more difficult case of 1/4- and 1/8-BPS operators we make a curious observation of equivalence of a pair correlator of such coherent state operators to the quenched Eguchi-Kawai reduction of the principal chiral model.