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Surface States

Local coordinate. Surface States. m : ξ → u =s(ξ). Global coordinates. Surface s tate is a bra < Σ | associated to a Riemann surface Σ. For any local operator Φ (ξ) ↔ | Φ >= lim Φ(ξ)|0> ξ→0. < Σ | Φ >= <s ○ Φ (0) > D.

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Surface States

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  1. Local coordinate Surface States m : ξ → u =s(ξ) Global coordinates Surface state is a bra <Σ| associated to a Riemann surface Σ For any local operator Φ(ξ) ↔ | Φ>= lim Φ(ξ)|0> ξ→0 < Σ |Φ >= <s ○ Φ(0) >D h s ○ Φ(0) = (s’ (0)) Φ(s(0))

  2. M’ M

  3. M M’

  4. M’ M

  5. M’ M

  6. M M’

  7. M M’

  8. Wedge States Star Multiplication of Wedge States =

  9. Conformal Sliver Conformal map Comparison with algebraic sliver

  10. What we know SFT proposes a hard, but a surmountable way to get answers concerning non- perturbative phenomena Two sets of basis: i) related with spectrum of free string ii) related with "strong coupling" regime (may be suitable for study VSFT Identity and Sliver in Moyal Basis Identity Sliver

  11. Open Problems More tests for checking validity of VSSFT Use the Moyal basis to construct the tachyon condensate and other solutions 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 VSFT

  12. I.Ya.~Aref'eva, D.M.~Belov, A.S.~Koshelev and P.B.~Medvedev,Tachyon Condensation in the Cubic Superstring FieldTheory, Nucl.Phys., hep-th/0011117; Gauge invariance and tachyon condensation in cubic superstring field theory, Nucl.Phys., hep-th/010719 I.Ya.Aref'eva, A.A.Giryavets and A.S.Koshelev,NS Ghost Slivers, Phys.Lett., hep-th/0203227 I.Ya.Aref'eva, A.A.Giryavets and P.B.Medvedev,NS Matter Sliver, Phys.Lett.B 532 (2002) 291, hep-th/0112214; I.Ya.Aref'eva, A.A.Giryavets, Open Superstring Star as a Continuous Moyal Product Product, hep-th/0204164 D.M.Belov, Diagonal Representation of Open String Star and Moyal I.Ya.Aref'eva, D.M.Belov and A.A.Giryavets,Construction of the Vacuum String Field Theory on aNon-BPS Brane, hep-th/0201197 Noncommutative Field Theories and(Super)String Field Theories, hep-th/0111208 References:

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