Kac-Moody and Virasoro Algebras: A Reprint Volume for PhysicistsWorld Scientific, 1988 - 586 sidor This volume reviews the subject of Kac-Moody and Virasoro Algebras. It serves as a reference book for physicists with commentary notes and reprints. |
Innehåll
KACMOODY AND VIRASORO ALGEBRAS | 10 |
P Goddard D Olive | 11 |
Physical Applications 319 | 24 |
Roots and Weights 335 | 40 |
Sugawaras Construction of the Virasoro Algebra 359 | 64 |
The Quark Model 368 | 73 |
Vertex Operators and Affine KacMoody Algebras 382 | 87 |
Vertex Operators and Fermi Fields 397 | 102 |
THE VIRASORO ALGEBRA | 337 |
P Goddard A Kent and D Olive Unitary Representations of | 388 |
W Boucher D Friedan and A Kent Determinant Formulae and | 403 |
CONFORMAL SYMMETRY | 411 |
Introduction | 423 |
J L Cardy Operator Content of TwoDimensional Conformally | 461 |
THE WESSZUMINO MODEL | 481 |
P Goddard W Nahm and D Olive Symmetric Spaces Sugawaras | 522 |
Conclusions and Omissions 409 | 114 |
VERTEX OPERATORS | 121 |
Chapter 3 | 261 |
Chapter 7 THE MONSTER GROUP | 529 |
Andra upplagor - Visa alla
Kac-Moody and Virasoro Algebras: A Reprint Volume for Physicists P Goddard,D Olive Begränsad förhandsgranskning - 1988 |
Kac-Moody and Virasoro Algebras: A Reprint Volume for Physicists Peter Goddard Ingen förhandsgranskning - 1988 |
Kac-Moody and Virasoro Algebras: A Reprint Volume for Physicists Peter Goddard,David Olive Ingen förhandsgranskning - 1988 |
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action affine Kac-Moody algebras affine Lie algebra algebra g Algebras in Relation automorphism basis bilinear boson Cartan central extension cocycle commutation relations conformal symmetry conformally invariant consider construction corresponding current algebra defined denote Diff(S¹ dim g dimensional dimensions Dynkin diagram elements equations equivalent Euclidean Fermi fields fermion finite Fock space follows formula Friedan Goddard h₁ Hermitian highest weight representation I.B. Frenkel infinite infinite-dimensional integral irreducible representation isomorphism Kac-Moody algebra Kac-Moody and Virasoro lattice Lett LIE ALGEBRA REPRESENTATIONS Math matrix module Nucl obtain Olive Phys physical proof Proposition quantum field theory Ramond representation of g satisfy scalar product self-dual simple Lie algebra simple roots spinor representation string theory subalgebra subgroup Subsec subspace tensor theorem transformations unitary representations V.G. Kac vacuum values vanishing Verma module vertex operator Virasoro algebra Wess-Zumino Weyl group