Topological Matrix Model | Zendy

Shinji Hirano | Zendy; Mitsuhiro Kato | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Topological Matrix Model

Author(s) -

Shinji Hirano,

Mitsuhiro Kato

Publication year - 1997

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.98.1371

Subject(s) - physics , spacetime , background independence , noncommutative geometry , theoretical physics , string theory , light cone , gauge theory , matrix (chemical analysis) , spacetime topology , gauge symmetry , general covariance , string (physics) , dimension (graph theory) , extra dimensions , mathematical physics , symmetry (geometry) , matrix model , quantum gravity , quantum mechanics , relationship between string theory and quantum field theory , pure mathematics , quantum , quantum field theory in curved spacetime , geometry , general relativity , mathematics , materials science , composite material

Starting from the primal principle based on the noncommutative nature of(9+1)-dimensional spacetime, we construct a topologically twisted version ofthe supersymmetric reduced model with a certain modification. Our formulationautomatically provides extra 1+1 dimensions, thereby the dimensions ofspacetime are promoted to 10+2. With a suitable gauge choice, we can reduce themodel with (10+2)-dimensional spacetime to the one with (9+1)-dimensions andthus we regard this gauge as the light-cone gauge. It is suggested that themodel so obtained would describe the light-cone F-theory. From this viewpointwe argue the relation of the reduced model to the matrix model of M-theory andthe SL(2,Z) symmetry of type IIB string theory. We also discuss the generalcovariance of the matrix model in a broken phase, and make some comments on thebackground independence.Comment: 18 pages, LaTeX, no figures, minor corrections and modifications, references adde

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research