Kac-Moody and Virasoro Algebras: A Reprint Volume for PhysicistsThis volume reviews the subject of Kac-Moody and Virasoro Algebras. It serves as a reference book for physicists with commentary notes and reprints. |
Contents
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 |
Other editions - View all
Kac-Moody and Virasoro Algebras: A Reprint Volume for Physicists P Goddard,D Olive Limited preview - 1988 |
Kac-Moody and Virasoro Algebras: A Reprint Volume for Physicists Peter Goddard No preview available - 1988 |
Kac-Moody and Virasoro Algebras: A Reprint Volume for Physicists Peter Goddard,David Olive No preview available - 1988 |
Common terms and phrases
A₁ 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(Są dimensional dimensions Dynkin diagram elements equations equivalent Euclidean Fermi fields fermion finite Fock space follows formula Frenkel Friedan Goddard h₁ Heisenberg Hermitian highest weight representation infinite infinite-dimensional integral irreducible representation isomorphism Kac-Moody algebra Kac-Moody and Virasoro lattice Lett LIE ALGEBRA REPRESENTATIONS Map(Są 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 values vanishing Verma module vertex operator Virasoro algebra Wess-Zumino Weyl group