Tachyon condensation and Vacuum SuperString Field Theory

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OUTLOOK

• Cubic SSFT action

• Tachyon Condensation in SSFT

• Rolling Tachyon

• Vacuum SuperString Field Theory

• i) New BRST charge
• Special solutions - sliver, lump, etc.
• algebraic surface states Moyal
  representation
• iii) Time dependence

• Conclusion

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Tachyon Condensation in SFT

• Bosonic String - Tachyon

• Tachyon Condensation in SFT

• Level truncation

Kostelecky,Samuel (1989)

• Tachyon in GSO ( - ) sector of NS string

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String Field Theory on a non-BPS brane

• I.A.,Belov,Koshelev,Medvedev(2001)

E.Witten (1986)
Parity GSO
odd
even -
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Vertex operators in pictures 1 and 0
Berkovits (1995)
N.B.,Sen,Zwiebach (2000)
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Tachyon Condensation in SSFT
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FAQ cubic unbounded
A. Auxiliary fields
u, t fields
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Sens conjecture (1999)
Brane Tension

Vacuum Energy
Strings
Branes
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Sens conjectures (1999)
97.5
Our calculations
105.8
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Rolling Tachyon

• Anharmonic oscillator
• Alpha corrections
• p-adic strings
• SFT (for bosonic string Sen,hep-th/0203211)
• SSFT for non-BPS branes

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Anharmonic oscillator
If
resonance
i.e.
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Rolling Tachyon
Initial condition near the top
Initial condition near the bottom
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Rolling Tachyon (bosonic case)
Initial condition near the top
Initial condition near the bottom
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Alpha corrections (boson case)

• First order

Solutions
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Alpha corrections (non-BPS case)

• First order

Solutions
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Solutions to SFT E.O.M.

Sen,hepth/020715
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Solutions to SSFT E.O.M.
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NO OPEN STRING EXCITATIONS
VSFT
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Vacuum String Field Theory on a non-BPS brane

• I.A., Belov, Giryavets (2002)

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Structure of new Q
SFT in the background field
Ohmori
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Tests
Solution to VSFT E.O.M
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E.O.M.
Analog of Noncommutative Soliton in Strong
Coupling Limit
Gopakumar, Minwalla,Strominger
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Methods of solving

• Algebraic method

• Surface states method

• Moyal representation

I.Bars,M.Douglas,G.Moore

• Half-strings

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Algebraic Method
Identities for squeezed states
I.A., Giryavets, Medvedev Marino, Schiappa
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Twisted SuperSliver

• Superghost twisted sliver

• Superghost twisted sliver equation

• Sliver with insertion

• Picture changing

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Sliver in the Moyal representation
Identity
Sliver
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Conclusion

• What we know
• What we get
• Open problems

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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)
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Open Problems