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Kac-Moody and Virasoro algebras : a reprint volume for physicists

Author: Peter Goddard, Ph.D.; David I Olive
Publisher: Singapore ; Teaneck, NJ, USA : World Scientific, ©1988.
Series: Advanced series in mathematical physics, vol. 3.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This volume reviews the subject of Kac-Moody and Virasoro algebras. It serves as a reference book for physicists with commentary notes and reprints.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kac-Moody and Virasoro algebras.
Singapore ; Teaneck, NJ, USA : World Scientific, ©1988
(OCoLC)18514739
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter Goddard, Ph.D.; David I Olive
ISBN: 9789812798398 9812798390
OCLC Number: 848918291
Notes: Reprints of papers originally published between 1967 and 1986.
Description: 1 online resource (xiii, 586 pages) : illustrations.
Contents: Ch. 1. Introduction --
ch. 2. Vertex operators --
ch. 3. Fermions --
ch. 4. The Virasoro algebra --
ch. 5. Conformal symmetry --
ch. 6. The Wess-Zumino model --
ch. 7. The monster group. 1. Lie algebras associated with generalized Cartan matrices / R.V. Moody --
2. Kac-Moody and Virasoro algebras in relation to quantum physics / P. Goddard and D. Olive --
3. Basic representations of affine Lie algebras and dual resonance models / I.B. Frenkel and V.G. Kac --
4. Unitary representations of some infinite dimensional groups / G. Segal --
5. Algebras, lattices and strings / P. Goddard and D. Olive --
6. The calculus of twisted vertex operators / J. Lepowsky --
7. Spin and wedge representations of infinite-dimensional Lie algebras and groups / V.G. Kac and D.H. Peterson --
8. Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory / I.B. Frenkel --
9. Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra / B.L. Feigin and D.B. Fuks --
10. Vacuum vector representations of the Virasoro algebra / A. Rocha-Caridi --
11. Conformal invariance, unitarity, and critical exponents in two dimensions / D. Friedan, Z. Qiu and S. Shenker --
12. Details of the non-unitarity proof for highest weight representations of the Virasoro algebra / D. Friedan, Z. Qiu and S. Shenker --
13. Unitary representations of the Virasoro and super-Virasoro algebras / P. Goddard, A. Kent and D. Olive --
14. Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification / W. Boucher, D. Friedan and A. Kent --
15. Infinite conformal symmetry in two-dimensional quantum field theory / A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov --
16. Operator content of two-dimensional conformally invariant theories / J.L. Cardy --
17. Non-abelian bosonization in two dimensions / E. Witten --
18. Current algebra and Wess-Zumino model in two dimensions / V.G. Knizhnik and A.B. Zamolodchikov --
19. Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions / P. Goddard, W. Nahm and D. Olive --
20. An introduction to the monster / I.B. Frenkel, J. Lepowsky and A. Meurman --
21. A moonshine module for the monster / I.B. Frenkel, J. Lepowsky and A. Meurman.
Series Title: Advanced series in mathematical physics, vol. 3.
Responsibility: edited by Peter Goddard, David Olive.

Abstract:

This volume reviews the subject of Kac-Moody and Virasoro Algebras. It serves as a reference book for physicists with commentary notes and reprints.  Read more...

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"It is a nice to have a collection at hand taking together some of the main fundamental papers of a rapidly developing subject. " H Boseck Mathematics Abstracts, 1989

 
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