relationship between marginal deformation parameters in osft and boundary cft

Relationship between marginal deformation parameters

in OSFT and boundary CFT

村田　仁樹 (Masaki Murata)with Matej Kudrna and Martin Schnabl

Institute of Physics AS CR(Czech Republic)

11.March @Osaka Univ.

SFT reproduces Boundary States

holds within

KnownWe computed

Outline

1. Motivation2. CFT Boundary State3. KMS Boundary State4. Cos X Solution5. Compare Boundary States

Background Independence

General Relativity

1. Independent of choice of g

2. Solutions backgrounds g can be … flat, Schwarzschild, etc

Background Independence

String Theory is Background Dependent

S-matrix on a fixed background

(Open) String Field Theory (SFT)

2. Solutions other backgrounds 1. Formulation depends on background

Solutions Backgrounds

Find solutionsTachyon condensationMarginal deformationLumpMultiplebrane Ghost brane

Schnabl, 2005Kiermaier-Okawa-Rastelli-Zwiebach, 2007Schnabl, 2007, Kiermaier-Okawa, 2007

Bonora-Maccaferri-Tolla, 2010

MM-Schnabl, 2011

Masuda-Noumi-Takahashi, 2012

CFT Boundary State Background

CFT Boundary State = label of vacua

KMS Boundary State is Simpler

KOZ boundary state : Non-polynomial

CFT boundary state

Compare

Kiermaier-Okawa-Zwiebach, 2008

Ellwood, 2008Kudrna-Maccaferri-Schnabl, 2012

KMS boundary state : Linear

Outline1. Motivation

2. CFT Boundary State3. KMS Boundary State4. Cos X Solution5. Compare Boundary States

Compare

Boundary Condition gives CFT Boundary State

open string boundary conditions

DN

Two aspects ofD-brane

Emit (absorb)closed string

CFT Boundary state

Cos X deformation

deformation parameter

Neumann

Dirichlet D25 D24

Outline

1. Background independence2. CFT Boundary state

3. KMS Boundary State4. Cos X Solution5. Compare Boundary States

Compare

KMS Boundary StateEllwood, 2008Kawano-Kishimoto-Takahashi, 2008Kudrna-Maccaferri-Schnabl, 2012

Sample computation of

For Fock states

Outline

1. Background Independence2. CFT Boundary States3. KMS Boundary State

4. Cos X Solution5. Compare Boundary States

Compare

Cos X deformation

deformation parameter

Neumann

Dirichlet D25 D24

Cos X solution

SFT solution in quasi Schnabl gauge

Q : Related to Cos X deformation?

Kiermaier-Okawa-Rastelli-Zwiebach, 2008

vs

?

Outline

1. Background Independence2. CFT Boundary States3. KMS Boundary State4. Cos X Solution5. Compare Boundary States

?

Comparing Boundary States

SFT : CFT :

?

?

Results

Consistency : holds within

?up to

Summary and Future works

• Systematic way for higher order• Higher level in Siegel gauge

quasi Schnabl

SiegelKudrna-Masuda-Okawa-Schnabl-Yoshida, 2012

Thank you!!

App : CFT Boundary sate

boundary conditions backgrounds of open string

CFT Boundary state

Neumann:

Dirichlet:

App : Gauge dependence

Gauge invariant

Gauge dependent

depends on gauge

App: Siegel gauge

based on data with L<13

Integrate out

Kudrna-Masuda-Okawa-Schnabl-Yoshida, 2012

Boundary state