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Vacuum SuperString Field Theory

Vacuum SuperString Field Theory. I.Ya. A ref'eva Steklov Mathematical Institute. (Lecture III). Based on : I. A. , D. Belov , A.Giryavets, A.Koshelev , hep-th/0112214, hep-th/ 0201197 , hep-th/0203227 , hep-th/0204239. OUTLOOK.

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Vacuum SuperString Field Theory

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  1. Vacuum SuperString Field Theory I.Ya. Aref'eva Steklov Mathematical Institute (Lecture III) Based on : I.A., D. Belov, A.Giryavets, A.Koshelev, hep-th/0112214, hep-th/0201197, hep-th/0203227, hep-th/0204239

  2. OUTLOOK • Vacuum SuperString Field Theory i)New BRST charge ii) Special solutions - sliver, lump, etc.: algebraic; surface states; Moyal representation • Conclusion

  3. = NO OPEN STRING EXCITATIONS CLOSED STRING EXCITATIONS(?) Sen’s conjectures 0.975 Our calculations: 1.058

  4. NO OPEN STRING EXCITATIONS VSFT

  5. String Field Theory on a non-BPS brane

  6. Vacuum String Field Theory on a non-BPS brane I.A., Belov, Giryavets (2002)

  7. solution to E.O.M Structure of new Q SFT in the background field Ohmori

  8. E.O.M. Analog of Noncommutative Soliton in Strong Coupling Limit Gopakumar, Minwalla,Strominger

  9. Methods of solving • Algebraic method • Surface states method • Moyal representation • Half-strings • Auxiliary linear system

  10. Bosonic sliver Rastelli, Sen, Zwiebach; Kostelecky, Potting... Algebraic Method Identities for squeezed states I.A., Giryavets, Medvedev; Marino, Schiappa

  11. Conformal Sliver Conformal map Comparison with algebraic sliver

  12. Surface states conformal vacuum Universality of Conformal Sliver • Conformal definition of surface states • Sliver conformal map • Sliver projection equation

  13. Open Superstring Star in Diagonal Basis I.A.,A.Giryavets hep-th/0204239 • Diagonal basis • Three-string vertex in diagonal basis • Identity and sliver in diagonal basis • Spectrum of identity and sliver

  14. Sliver in the Moyal representation Identity Sliver

  15. Twisted SuperSliver • Superghost twisted sliver I.A., Giryavets,Koshelev, hep-th/0203227 • Superghost twisted sliver equation • Sliver with insertion • Picture changing

  16. Tests Solution to VSFT E.O.M

  17. Conclusion • What we know • What we have got • Open problems

  18. What we know SSFT proposes a hard, but a surmountable way to get answers concerning non-perturbative phenomena Two sets of basis: i) related with spectrum offree string ii) related with "strong coupling “ regime (may be suitable for study VSFT)

  19. What we have got in cubic SSFT Tachyon condensation Rolling tachyon near the top Vacuum SSFT andsome solutions

  20. More tests for checking validity of VSSFT Other solutions (lump, kink solutions); especially with time dependence Use the Moyal basis to construct the tachyon condensate and other solutions Classification of projectors in open string field algebra and its physical meaning Closed string excitations in VSSFT Open Problems

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