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Yang-Mills Theory as Effective Theory

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

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  1. Yang-Mills Theory as Effective Theory of Chern-Simons Dmitry Krotov (INR & ITEP, Moscow)

  2. 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

  3. 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

  4. Physical degrees of freedom Cohomologies of certain differential Q Physical degrees of freedom

  5. What is called by cohomologies?

  6. 11-d SUGRA ? 10-d SYM Witten’s OSFT-like theory or Chern-Simons-like theory 2-d gauge model Fundamental Theory

  7. odd variables even variables The ring of polynomials The ideal ofconstraints The Basis of Construction

  8. The differential Q B This operator is nilpotent due to the constraints

  9. Definition of fields

  10. Calculation of effective action

  11. 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

  12. The space of effective theories

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