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The Erwin Schroedinger Institute for Mathematical Physics

Matrix Models for Noncommutative Geometry and String Theory

Some 20 years ago,  matrix models such as the Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) model and the Banks-Fischler-Shenker-Susskind (BFSS) model were proposed as constructive definitions of string- and M- theory, respectively. These are maximally supersymmetric multi-matrix models of Yang-Mills type, which generalize the more conventional random matrix models which played an important role in many contexts such as two-dimensional gravity, combinatorics and quantum chaos. These models share many of the rich aspects of string theory, and provide a non-perturbative and constructive framework. However these and similar models are also of interest from a broader perspective.

The aim of this 1-week workshop is to assess the status of these and related models, to strengthen the scientific contacts of the groups working in this context, and to initiate new ideas and collaborations.

The topics will include:

• numerical results from simulations of IKKT, BFSS and related models,
  and mathematical models for their description and interpretation
• The relation with gravity and string theory
• noncommutative geometry in a finite-dimensional setting
• finite matrix geometries with Lorentzian signature
• covariant quantum spaces and symmetries

At a glance

Type: Workshop
When: Jul 09, 2018 to
Jul 13, 2018
Where: ESI, Boltzmann Lecture Hall
Organizers: Denjoe O'Connor (Dublin Inst. for Advanced Studies), Jun Nishimura (KEK, Tsukuba, J), Harold Steinacker (U Vienna), Asato Tsuchiya (Shizuoka U)
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