1 / 29

In collaboration with Y. Baba(Tsukuba) and K. Murakami(KEK)

D-branes and Closed String Field Theory. N. Ishibashi (University of Tsukuba). In collaboration with Y. Baba(Tsukuba) and K. Murakami(KEK). JHEP 05(2006):029 JHEP 05(2007):020 JHEP 10(2007):008. Progress of String Theory and Quantum Field Theory

lillian-buchanan
Download Presentation

In collaboration with Y. Baba(Tsukuba) and K. Murakami(KEK)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. D-branes and Closed String Field Theory N. Ishibashi (University of Tsukuba) In collaboration with Y. Baba(Tsukuba) and K. Murakami(KEK) JHEP 05(2006):029 JHEP 05(2007):020 JHEP 10(2007):008 Progress of String Theory and Quantum Field Theory Friday 7th December - Monday 10th December 2007 @ Media Center, Osaka City University

  2. §1Introduction D-branes in string field theory • D-branes can be realized as soliton solutions in open string field theory • D-branes in closed string field theory? A.Sen,……… Hashimoto and Hata ♦HIKKO ♦A gauge invariant source term ♦tension of the brane cannot be fixed

  3. l For noncritical strings, the situation is better c=0 noncritical strings + + double scaling limit String Field Describing the matrix model in terms of this field, we obtain the string field theory for c=0 noncritical strings Kawai, N.I.

  4. Stochastic quantization of the matrix model Jevicki and Rodrigues joining-splitting interactions

  5. correlation functions Virasoro constraints FKN, DVV Virasoro constraints Schwinger-Dyson equations for the correlation functions ~ various vacua

  6. Solitonic operators Fukuma and Yahikozawa From one solution to the Virasoro constraint, one can generate another by the solitonic operator. Hanada, Hayakawa, Kawai, Kuroki, Matsuo, Tada and N.I.

  7. These solitonic operators correspond to D-branes amplitudes with ZZ-branes are reproduced the tension of the brane is fixed correctly state with D(-1)-brane ghost D-brane (Okuda and Takayanagi) =

  8. critical strings? noncritical case is simple idempotency equation Kishimoto, Matsuo, Watanabe For boundary states, things may not be so complicated

  9. We will show that ・ for OSp invariant SFT for the critical bosonic strings ・ we can construct BRS invariant observables using the boundary states for D-branes imitating the construction of the solitonic operators for the noncritical string case. Plan of the talk §2 OSp Invariant String Field Theory §3 D-brane States §4 Conclusion and Discussion

  10. §2 OSp Invariant String Field Theory light-cone gauge SFT SO(25,1) symmetry OSp invariant SFT=light-cone SFT with Grassmann Siegel, Uehara,Neveu, West, Zwiebach, Kugo, Kawano,…. OSp(27,1|2) symmetry

  11. variables

  12. action

  13. OSp theory 〜 covariant string theory with extra time and length HIKKO ・no ・extra variables

  14. BRS symmetry the string field Hamiltonian is BRS exact The “action” cannot be considered as the usual action looks like the action for stochastic quantization

  15. One can show Baba, Murakami, N.I. Green’s functions of BRS invariant observables = Green’s functions in 26D Wick rotation, LSZ S-matrix elements in 26D ∥ S-matrix elements derived from the light-cone gauge SFT different from the usual formulation, but ・string length ・joining-splitting interaction ・extra time variable etc. similar to noncritical SFT We may be able to construct something like

  16. §3 D-brane States Let us construct second quantized BRS invariant states, imitating the construction of the solitonic operator in the noncritical case. light-cone quantization

  17. states with one soliton c.f. will be fixed by requiring

  18. Boundary states in OSp theory boundary state for a flat Dp-brane It is straightforward to include constant BRS invariant regularization

  19. shorthand notation

  20. Idempotency equations Kishimoto, Matsuo, Watanabe leading order in

  21. Using these relations we obtain if Later we will show

  22. States with N solitons Imposing the BRS invariance, we obtain looks like a matrix model

  23. may be identified with the eigenvalues of the matrix valued tachyon can be identified with the open string tachyon open string tachyon

  24. More generally we obtain ・we can also construct

  25. amplitudes saddle point approximation generate boundaries on the worldsheet

  26. etc. We have checked that the disk and cylinder amplitudes are reproduced correctly.

  27. §4 Conclusion and Discussion BRS invariant source term coherent state ♦D-brane ~ ♦other amplitudes ♦ lower order in ♦similar construction for superstrings we need to construct OSp SFT for superstrings contact term? ♦more fundamental formulation? Yoneya

More Related