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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 on theme: "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."— Presentation transcript:

1 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.

2 SFT reproduces Boundary States holds within Known We computed

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

4 Background Independence General Relativity 1. Independent of choice of g 2. Solutions  backgrounds g can be … flat, Schwarzschild, etc Background Independence

5 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

6 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

7 CFT Boundary State  Background CFT Boundary State = label of vacua

8 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

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

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

11 Cos X deformation deformation parameter Neumann Dirichlet D25  D24

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

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

14 Sample computation of For Fock states

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

16 Cos X deformation deformation parameter Neumann Dirichlet D25  D24

17 Cos X solution SFT solution in quasi Schnabl gauge Q : Related to Cos X deformation? Kiermaier-Okawa-Rastelli-Zwiebach, 2008 vs ?

18 Outline 1.Background Independence 2.CFT Boundary States 3.KMS Boundary State 4.Cos X Solution 5.Compare Boundary States ?

19 Comparing Boundary States SFT : CFT : ? ?

20 Results Consistency : holds within ? up to

21 Summary and Future works Systematic way for higher order Higher level in Siegel gauge quasi Schnabl Siegel Kudrna-Masuda-Okawa-Schnabl-Yoshida, 2012

22 Thank you!!

23 App : CFT Boundary sate boundary conditions  backgrounds of open string CFT Boundary state Neumann: Dirichlet:

24 App : Gauge dependence Gauge invariant Gauge dependent depends on gauge

25 App: Siegel gauge based on data with L<13 Integrate out Kudrna-Masuda-Okawa-Schnabl-Yoshida, 2012 Boundary state

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