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Off-shell Formulation of Supersymmetric Field Theories

Off-shell Formulation of Supersymmetric Field Theories. Erice, 02.09.2006. Victor Alexandrov Moscow State University. Based on the work by V. Alexandrov, D. Krotov, A. Losev, V. Lysov. Statements. Integrating out the complement to cohomologies H(Q). Statements:.

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Off-shell Formulation of Supersymmetric Field Theories

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  1. Off-shell Formulation of Supersymmetric Field Theories Erice, 02.09.2006 Victor Alexandrov Moscow State University Based on the work by V. Alexandrov, D. Krotov, A. Losev, V. Lysov.

  2. Statements Integrating out the complement to cohomologies H(Q) Statements: a) All effective theories are on-shell supersymmetric is the off-shell version b) The fundamental theory of its effective theory V. Alexandrov 02-sep-2006, Erice

  3. Idea Our case Conventional case Calculation of effective action Integrating out D-terms i.e. integrating out fields, which are not cohomologies Superfield formalism Lambda-theta formalism - odd - odd - even V. Alexandrov 02-sep-2006, Erice

  4. Batalin – Vilkovisky formalism Is the most general formalism to quantize gauge theories V. Alexandrov 02-sep-2006, Erice

  5. Batalin – Vilkovisky formalism BV – equation for General solution of this equation linear in BV-antifields structure constants symmetry transformations classical action ghosts and antighosts for parameters of symmetry transformation Under 2 conditions: V. Alexandrov 02-sep-2006, Erice

  6. SUSY Quantum Mechanics The algebra of supersymmetry Off-shell invariant action - is ghost for supersymmetry - is ghost for time translations Integrating out D-terms: obtain on-shell invariant action Terms of such structure show that symmetry of the off-shell theory becomes on-shell. V. Alexandrov 02-sep-2006, Erice

  7. Conclusion • All effective theories which can be obtained using the described procedure are on-shell supersimmetric. is off-shell version of all these effective theories. N=1, D= 10 SUSY Yang-Mills By now certain 2-d gauge model with matter To be continued… V. Alexandrov 02-sep-2006, Erice

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