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Lattice formulation of the superstring
Phys. Rev. D 33, 3155(R) – Published 15 May, 1986
DOI: https://doi.org/10.1103/PhysRevD.33.3155
Abstract
The formulation of closed superstring theory on a discrete world sheet is studied. We work throughout in the light-cone gauge, and attempt to preserve exact discrete global sypersymmetry. It is shown that difficulties arise in the attempt to preserve both supersymmetries in the type-II closed superstring, but that truncation of one-half of the bosonic degrees of freedom leads to an exactly supersymmetric action which is just a lattice implementation of the heterotic string. The continuous-time (Hamiltonian) formalism is also studied for this case.
References (18)
- For a review of superstring theory, see J. H. Schwarz, Phys. Rep. 89, 223 (1982).
- M. B. Green and J. H. Schwarz, Phys. Lett. 149B, 117 (1984); ibid. 151B, 21 (1985); Nucl. Phys. B255, 93 (1985).
- W. Siegel, Phys. Lett. 142B, 276 (1984); ibid. 149B, 157 (1984); T. Banks and M. Peskin, Stanford Linear Accelerator Center Report No. 3740, 1985 (unpublished); A. Neveu, H. Nicolai, and P. C. West, CERN Report No. 4233, 1985 (unpublished).
- M. B. Green and J. H. Schwarz, Nucl. Phys. B243, 475 (1984); also Ref. 3.
- M. B. Green and J. H. Schwarz, Phys. Lett. 151B, 21 (1985); S. Weinberg, University of Texas Report. No. UTTG-22-85 (unpublished). For one-loop calculations in the heterotic string, see D. Gross et al., Nucl. Phys. B (to be published).
- P. Candelas, G. T. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B258, 46 (1985).
- M. Dine and N. Seiberg, IAS report, 1985 (unpublished).
- See, for example, S. Coleman, in Pointlike Structures Inside and Outside Hadrons, proceedings of the Seventeenth International School of Subnuclear Physics, Erice, 1979, edited by A. Zichichi (Plenum, New York, 1982), p. 11.
- J. Fröhlich, in Proceedings of a NATO Advanced Study Institute, Cargese, Corsica, 1983, edited by G. 't Hooft (Plenum, New York, 1984).
- R. Giles and C. B. Thorn, Phys. Rev. D 16, 366 (1977); C. B. Thorn, University of Florida Report No. UFTP-85-9 (unpublished).
- For an attempt to realize N = 2 supersymmetric field theories on a lattice, see S. Elitzur and A. Schwimmer, Nucl. Phys. B226, 109 (1983).
- D. J. Gross, J. A. Harvey, E. Martinec and R. Rohm, Nucl. Phys. B256, 253 (1985).
- M. B. Green and J. H. Schwarz, Phys. Lett. 109B, 444 (1982).
- Omitted end note.
- L. Susskind, Phys. Rev. D 16, 3031 (1977).
- L. Alvarez-Gaumé and D. Z. Freedman, Phys. Rev. D 22, 846 (1980).
- A. D. thanks A. Casher and S. Yankielowicz for emphasizing this point.
- S. D. Drell, M. Weinstein and S. Yankielowicz, Phys. Rev. D 14, 487 (1976).