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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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slide1

Yang-Mills Theory as Effective Theory

of Chern-Simons

Dmitry Krotov (INR & ITEP, Moscow)

based on the papers
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
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

Physical

degrees of

freedom

Cohomologies

of certain

differential Q

Physical degrees of freedom
fundamental theory

11-d

SUGRA

?

10-d

SYM

Witten’s OSFT-like theory

or Chern-Simons-like theory

2-d gauge

model

Fundamental Theory
the basis of construction

odd variables

even variables

The ring of polynomials

The ideal ofconstraints

The Basis of Construction
slide8

The differential Q

B

This operator is nilpotent

due to the constraints

the systems of quadratic 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