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.

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Presentation transcript:

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) Univ.

SFT reproduces Boundary States holds within Known We computed

Outline 1.Motivation 2.CFT Boundary State 3.KMS Boundary State 4.Cos X Solution 5.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 solutions Tachyon condensation Marginal deformation Lump Multiplebrane Ghost brane Schnabl, 2005 Kiermaier-Okawa-Rastelli-Zwiebach, 2007 Schnabl, 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, 2008 Kudrna-Maccaferri-Schnabl, 2012 KMS boundary state : Linear

Outline 1.Motivation 2.CFT Boundary State 3.KMS Boundary State 4.Cos X Solution 5.Compare Boundary States Compare

Boundary Condition gives CFT Boundary State open string boundary conditions D N Two aspects of D-brane Emit (absorb) closed string CFT Boundary state

Cos X deformation deformation parameter Neumann Dirichlet D25  D24

Outline 1.Background independence 2.CFT Boundary state 3.KMS Boundary State 4.Cos X Solution 5.Compare Boundary States Compare

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

Sample computation of For Fock states

Outline 1.Background Independence 2.CFT Boundary States 3.KMS Boundary State 4.Cos X Solution 5.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 Independence 2.CFT Boundary States 3.KMS Boundary State 4.Cos X Solution 5.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 Siegel Kudrna-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