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Yang-Mills Theory as Effective Theory. of Chern-Simons. Dmitry Krotov (INR & ITEP, Moscow). Based on the papers. D.Krotov, A.Losev “QFT as Effective BV Theory from C-S”, hep-th/0603201. 1. V.Alexandrov, D.Krotov, A.Losev, V.Lysov “A Comment on the Off-Shell Supersymmetry”,
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Yang-Mills Theory as Effective Theory of Chern-Simons Dmitry Krotov (INR & ITEP, Moscow)
Based on the papers D.Krotov, A.Losev “QFT as Effective BV Theory from C-S”, hep-th/0603201 1 V.Alexandrov, D.Krotov, A.Losev, V.Lysov “A Comment on the Off-Shell Supersymmetry”, work in progress 2
Main ideas Degrees of freedom in the conventional QFT are effective. 1 The search of fundamental degrees of freedom is an important problem in physics. 2
Physical degrees of freedom Cohomologies of certain differential Q Physical degrees of freedom
11-d SUGRA ? 10-d SYM Witten’s OSFT-like theory or Chern-Simons-like theory 2-d gauge model Fundamental Theory
odd variables even variables The ring of polynomials The ideal ofconstraints The Basis of Construction
The differential Q B This operator is nilpotent due to the constraints
The Systems of Quadratic Constraints All quadrics Regular Singular Yang-Mills, SUGRA, 2-d gauge model Chern-Simons theory There is a small number of such quadrics There are many such quadrics