RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Video Library
Archive
Most viewed videos

Search
RSS
New in collection





You may need the following programs to see the files






Random geometry and physics
September 11, 2014 10:50–11:40, Moscow
 


A Givental like decomposition formula for $T^4$ tensor model

S. Dartois
Video records:
Flash Video 280.7 Mb
Flash Video 1,681.2 Mb
MP4 280.7 Mb

Number of views:
This page:82
Video files:17

S. Dartois


Видео не загружается в Ваш браузер:
  1. Установите Adobe Flash Player    

  2. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  3. Сообщите администратору портала о данной ошибке

Abstract: In this talk I will review recent results in the study of the simplest interacting tensor model using its multi-matrix representation. This representation is obtained through a Hubbard-Stratanovitch transformation applied to the quartic melonic tensor model. I first use this transformation to give a description á la Givental of this tensor model, i.e. as a differential operator acting on a product of Hermitian matrix model. However the reader should be warned that the differential is not a Givental operator although the decomposition looks like the same in spirit. This decomposition allows to understand how the Hirota's equations of the Hermitian one matrix model transform to give bilinear identities on the partition function of the quartic melonic tensor model. In a second part I will present results obtained in collaboration with Viet Anh Nguyen and Bertrand Eynard. In this works we rederive known results about this tensor model (2-point function, NLO computations) using this multi-matrix representation.

Language: English

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018