Communications in Mathematical Physics

, Volume 141, Issue 3, pp 577–592 | Cite as

Minimal area problems and quantum open strings

  • Barton Zwiebach
Article
Received:

Abstract

We discuss minimal area problems for surfaces with boundaries and both open and closed string punctures. We define open-closed string diagrams to be surfaces with metrics of minimal area under the condition that any nontrivial Jordan open curve be longer or equal to π and any nontrivial Jordan closed curve be longer or equal to 2π. It is proven that the double of an open-closed string diagram is a closed string diagram of covariant closed string field theory.

Keywords

Neural Network Statistical Physic Field Theory Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [BS] Bluhm, R., Samuel, S.: Nucl. Phys.B 323, 337 (1989)CrossRefGoogle Scholar
  2. [GMW] Giddings, S., Martinec, E., Witten, E.: Modular invariance in string field theory. Phys. Lett.176B, 362 (1986)Google Scholar
  3. [GW] Giddings, S., Wolpert, S.: A triangulation of moduli space from light-cone string theory. Commun. Math. Phys.109, 177 (1987)CrossRefGoogle Scholar
  4. [KKS] Kugo, T., Kunitomo, H., Suehiro, K.: Non-polynomial closed string field theory. Phys. Lett.226B, 48 (1989)Google Scholar
  5. [KS] Kugo, T., Suehiro, K.: Nonpolynomial closed string field theory: action and gauge invariance. Nucl. Phys.B 337, 434 (1990)CrossRefGoogle Scholar
  6. [Og] Ogura, W.: Combinatorics of strings and equivalence of Witten's string field theory to Polyakov's string theory. Prog. Theor. Phys.79, 936 (1988)Google Scholar
  7. [Sa] Samuel, S.: Solving the open bosonic string in perturbation theory. Nucl. Phys. B341, 513 (1990)CrossRefGoogle Scholar
  8. [SaZw] Saadi, M., Zwiebach, B.: Closed string field theory from polyhedra. Ann. Phys.192, 213 (1989)CrossRefGoogle Scholar
  9. [St] Strebel, K.: Quadratic differentials. Berlin, Heidelberg, New York: Springer 1984Google Scholar
  10. [Wi] Witten, E.: Noncommutative geometry and string field theory. Nucl. Phys. B268, 253 (1986)CrossRefGoogle Scholar
  11. [Zw 1] Zwiebach, B.: How covariant closed string theory solves a minimal area problem. Commun. Math. Phys.136, 93 (1991); Consistency of closed string polyhdra from minimal area. Phys. Lett. B241, 343 (1990)CrossRefGoogle Scholar
  12. [Zw 2] Zwiebach, B.: Quantum closed strings from minimal area. Mod. Phys. Lett. A2, No. 32, 2753 (1990)Google Scholar
  13. [Zw 3] Zwiebach, B.: Quantum open string theory with manifest closed string factorization. Phys. Lett. B256, 22 (1991); The Covariant Open-Closed String Theory I, II. MIT preprints, MIT-CTP-1909, 1910, to appearGoogle Scholar
  14. [Zw 4] Zwiebach, B.: A proof that Witten's open string theory gives a single cover of moduli space. Commun. Math. Phys.142, 193–216 (1991)CrossRefGoogle Scholar
  15. [Zw 5] Zwiebach, B.: Interpolating open-closed string field theories. MIT preprint, MIT-CTP-1911 (to appear)Google Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Barton Zwiebach
    • 1
  1. 1.Center for Theoretical Physics, Laboratory for Nuclear Science and Department of PhysicsMassachusetts Institute of TechnologyCambridgeUSA

Personalised recommendations