CFT Description of Identity String Field: Toward Derivation of the VSFT Action

Abstract

We concretely define the identity string field as a surface state and deal with it consistently in terms of conformal field theory language, never using its formal properties nor oscillator representation of it. The generalized gluing and resmoothing theorem provides us with a powerful computational tool which fits into our framework. Among others, we can prove that in some situations the identity state defined this way actually behaves itself like an identity element under the *-product. We use these CFT techniques to give an explicit expression of the classical solution in the ordinary cubic string field theory having the property that the conjectured vacuum string field theory action arises when the cubic action is expanded around it.

41 pages, 13 figures. v2: footnote 3 corrected, reference updated. v3: The proofs of eq.(4.32) have been improved. Footnote 14 added, and minor corrections

References in corpus (20)

• Split string field theory I
• Boundary CFT Construction of D-branes in Vacuum String Field Theory
• Open string field theory without open strings
• Split string field theory II
• Wilson Lines and Classical Solutions in Cubic Open String Field Theory
• Map of Witten's * to Moyal's *
• Open String States around a Classical Solution in Vacuum String Field Theory
• Comma Vertex and String Field Algebra
• The Identity String Field and the Tachyon Vacuum
• Some Properties of String Field Algebra
• Observables as Twist Anomaly in Vacuum String Field Theory
• A Note on a Proposal for the Tachyon State in Vacuum String Field Theory
• Open String Fields As Matrices
• Excitations on wedge states and on the sliver
• Test of the Absence of Kinetic Terms around the Tachyon Vacuum in Cubic String Field Theory
• Some exact results on the matter star-product in the half-string formalism
• BCFT and Sliver state
• Projection Operators and D-branes in Purely Cubic Open String Field Theory
• Test of Siegel Gauge for the Lump Solution
• Survey of the Tachyonic Lump in Bosonic String Field Theory

Cited by in corpus (24)

• Tachyon Dynamics in Open String Theory
• Wedge states in string field theory
• Experimental String Field Theory
• Gauge Invariant Overlaps for Classical Solutions in Open String Field Theory
• Open string states and D-brane tension from vacuum string field theory
• Construction of the Vacuum String Field Theory on a non-BPS Brane
• Solving Open String Field Theory with Special Projectors
• Tachyon Condensation and Universal Solutions in String Field Theory
• The Spectrum of Open String Field Theory at the Stable Tachyonic Vacuum
• Exact Solutions in SFT and Marginal Deformation in BCFT
• Marginal Deformations and Classical Solutions in Open Superstring Field Theory
• Some exact computations on the twisted butterfly state in string field theory
• Regularization of identity based solution in string field theory
• Solving Witten's string field theory using the butterfly state
• String Amplitudes from Moyal String Field Theory
• Higher Level Open String States from Vacuum String Field Theory
• On Ghost Structure of Vacuum Superstring Field Theory
• Gauge transformations on a D-brane in Vacuum String Field Theory
• The Tachyon Potential in the Sliver Frame
• Analytic Study of Nonperturbative Solutions in Open String Field Theory
• Comments on Takahashi-Tanimoto's scalar solution
• Solving Witten's SFT by Insertion of Operators on Projectors
• Stretched strings in tachyon condensation models
• Descent Relations in Cubic Superstring Field Theory