Some Simple Calculations in the Developmemt of String Theory
ORAL · Invited
Abstract
I shall sketch the development of string thiory from hadron phenomenology to superstrings, Along the way, I shall describe several relatively elementary calculations that highlight some of the important steps. Collaborators and I were involved in many of these examples and/or in the progress they inspired. These calculations will include (1) the relation of the central charge of the Virasoro algebra to the dimension of spacetime; (2) definition of physical states,; (3) null physical states; (4) determination of the critical dimension; (5) quantun dynanics of string on the light cone; and (6) early hints of the important role of target space supersymmetry plays in string theory. I shall close with a brief discussion of string bits in the context of a ``holographic'' description of string theory..
*I thank the Department of Physics and the Particle Theory gtoup at the University of Florida fo their hospitality.
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Publication: Bibliography for my talk:
1. R.Dolen, D.Horn, and C.Schmid,
``Prediction of Regge Parameters of rho Poles from Low-Energy pi N Data,'' Phys. Rev. Lett. 19 (1967) 402.
``Finite energy sum rules and their application to pi N charge exchange,'' Phys. Rev. 166 (1968) 1768.
2. M.Ademollo, H.R.Rubinstein, G.Veneziano and M. A.Virasoro,
``Bootstraplike Conditions From Superconvergence,''
Phys. Rev. Lett. 19 (1967) 1402,
``Bootstrap of meson trajectories from superconvergence,''
Phys. Rev. 176 (1968) 1904
3. G.Veneziano,
``Construction of a crossing - symmetric, Regge behaved amplitude for linearly rising trajectories,''
Nuovo Cim. A 57 (1968) 190.
4; K.Bardakci and S.Mandelstam,
``Analytic solution of the linear-trajectory bootstrap,''
Phys. Rev. 184 (1969) 1640.
5. S.Fubini and G.Veneziano,
``Level structure of dual-resonance models,''
Nuovo Cim. A 64 (1969) 811.
6. S.Fubini, D.Gordon and G.Veneziano,
``A general treatment of factorization in dual resonance models,''
Phys. Lett. B 29 (1969) 679.
7. C.B.Thorn,
``Linear dependences in the operator formalism of Fubini, Veneziano, and Gordon,''
Phys. Rev. D1 (1970) 1693.
8. M.A.Virasoro,
``Subsidiary conditions and ghosts in dual resonance models,''
Phys. Rev. D 1 (1970) 2933.
9. R. C. Brower and C. B. Thorn
"Eliminating spurious states from the dual resonance model",
Nucl. Phys. B31, 163—182 (1971
10. R.C.Brower,
``Spectrum generating algebra and no ghost theorem for the dual model,''
Phys. Rev. D6 (1972) 1655.
11. P.Goddard and C.B.Thorn,
``Compatibility of the Dual Pomeron with Unitarity and the Absence of Ghosts in the Dual Resonance Model,''
Phys. Lett. B 40 (1972) 235.
12. P.Ramond,
``Dual Theory for Free Fermions,''
Phys. Rev. D3 (1971) 2415.
13. A. Neveu and J.H. Schwarz
``Factorizable dual model of pions,''
Nucl. Phys. B 31 (1971) 86;
14. A.Neveu, J.H.Schwarz and C.B.Thorn,
``Reformulation of the Dual Pion Model,''
Phys. Lett. B 35 (1971) 529.
15. C.B.Thorn,
``Embryonic Dual Model for Pions and Fermions,''
Phys. Rev. D4 (1971) 1112;
16. A.Neveu and J.H.Schwarz,
``Quark Model of Dual Pions,''
Phys. Rev. D4 (1971) 1109.
17. E.Corrigan and P.Goddard,
``The Absence Of Ghosts In The Dual Fermion Model,''
Nucl. Phys. B68 (1974) 189-202.
18. F.Gliozzi, J.Scherk and D.I.Olive,
``Supersymmetry, Supergravity Theories and the Dual Spinor Model::
Nucl. Phys. B 122 (1977) 253;
19. Y.Nambu, ``Duality and Hadrodynamics'',
Lectures at the Copenhagen Summer Symposium (1970).
20. T.Goto,
``Relativistic quantum mechanics of one-dimensional mechanical continuum and subsidiary condition of dual resonance model,''
Prog. Theor. Phys. 46 (1971) 1560.
21. P.Goddard, J.Goldstone, C.Rebbi and C.B.Thorn,
``Quantum dynamics of a massless relativistic string,''
Nucl. Phys. B 56 (1973) 109.
22. R.Giles and C.B.Thorn,
``A Lattice Approach To String Theory,''
Phys. Rev. D 16 (1977) 366.
23. C. B. Thorn,
Reformulating string theory with the 1/N expansion,
The First International A.D. Sakharov Conference on Physics
aeXiv "hep-th/9405069, UFIFT-HEP-91-23",
Presenters
-
Charles B Thorn
- University of Florida