Advertisement

Pramana

, Volume 26, Issue 1, pp L85–L91 | Cite as

Bosonic string theories with new boundary conditions

  • S M Roy
  • Virendra Singh
Letter

Abstract

We show that the classical Nambu-Goto string inD dimensions admits Poincaré invariance ind dimensions (dD) if (i)d − 2 of the transverse co-ordinatesx i are periodic and the rest quasi-periodic involving a real orthogonal matrix with (D − d) (D − d − 1)/2 free parameters, or if (ii)d − 2 ofx i obey Neumann and the rest obey a boundary condition involvingN free parameters, whereN=(D − d)2/2 ifD − d is even, andN=[(D − d)2 − 1]/2 ifD − d is odd.

Keywords

Bosonic string theory boundary condition 

PACS No.

11.10 12.40 11.30 

References

  1. Brink L 1984 CERN-TH-4006/84Google Scholar
  2. Casher A, Englert F, Nicolai H and Taormina A 1985 CERN-TH-4220/85Google Scholar
  3. Freund P G O 1985Phys. Lett. B151 387ADSGoogle Scholar
  4. Goddard P, Goldstone J, Rebbi C and Thorn C B 1973Nucl. Phys. B56 109CrossRefADSGoogle Scholar
  5. Goto T 1971Progr. Theor. Phys. 46 1560MATHCrossRefADSMathSciNetGoogle Scholar
  6. Govindarajan T R, Jayaraman T, Mukherjee A and Wadia S 1985 in preparationGoogle Scholar
  7. Green M B 1983Surv. High Energy Phys. 3 127Google Scholar
  8. Green M B and Schwarz J H 1984Phys. Lett. B149 117ADSMathSciNetGoogle Scholar
  9. Green M B and Schwarz J H 1985Phys. Lett. B151 21ADSMathSciNetGoogle Scholar
  10. Gross D J, Harvey J A, Martinec E and Rohm R 1985Phys. Rev. Lett. 54 502CrossRefADSMathSciNetGoogle Scholar
  11. Hara O 1971Progr. Theor. Phys. 46 1549MATHCrossRefADSMathSciNetGoogle Scholar
  12. Nambu Y 1970 Lectures at Copenhagen Symposium (unpublished)Google Scholar
  13. Neveu A and Schwarz J H 1971Nucl. Phys. B31 86CrossRefADSGoogle Scholar
  14. Neveu A and Schwarz J H 1971bPhys. Rev. D4 1109ADSGoogle Scholar
  15. Roy S M and Singh V 1985 TIFR/TH/85-21Google Scholar
  16. Ramond P 1971Phys. Rev. D3 2415ADSMathSciNetGoogle Scholar
  17. Schwarz J M 1982Phys. Rep. 89 223MATHCrossRefADSMathSciNetGoogle Scholar
  18. Vafa C and Witten E 1985 Princeton preprintGoogle Scholar
  19. Witten E 1984Phys. Lett. B149 35MathSciNetGoogle Scholar

Copyright information

© the Indian Academy of Sciences 1986

Authors and Affiliations

  • S M Roy
    • 1
  • Virendra Singh
    • 1
  1. 1.Tatal Institute of Fundamental ResearchBombayIndia

Personalised recommendations