relationship between marginal deformation parameters in osft and boundary cft 村田 仁樹 (masaki...
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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 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