The intertwining of affine Kac-Moody and current algebras

Lochlainn O'Raifeartaigh

Publications Mathématiques de l'IHÉS (1998)

  • Volume: S88, page 153-164
  • ISSN: 0073-8301

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O'Raifeartaigh, Lochlainn. "The intertwining of affine Kac-Moody and current algebras." Publications Mathématiques de l'IHÉS S88 (1998): 153-164. <http://eudml.org/doc/104142>.

@article{ORaifeartaigh1998,
author = {O'Raifeartaigh, Lochlainn},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {affine Kac-Moody algebra; automorphism; weight representation; current algebra; survey},
language = {eng},
pages = {153-164},
publisher = {Institut des Hautes Etudes Scientifiques},
title = {The intertwining of affine Kac-Moody and current algebras},
url = {http://eudml.org/doc/104142},
volume = {S88},
year = {1998},
}

TY - JOUR
AU - O'Raifeartaigh, Lochlainn
TI - The intertwining of affine Kac-Moody and current algebras
JO - Publications Mathématiques de l'IHÉS
PY - 1998
PB - Institut des Hautes Etudes Scientifiques
VL - S88
SP - 153
EP - 164
LA - eng
KW - affine Kac-Moody algebra; automorphism; weight representation; current algebra; survey
UR - http://eudml.org/doc/104142
ER -

References

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  1. [1] A.J. Coleman , The Greatest Mathematical Paper of all Time , Math. Intelligencer11 (1989) 29-38. Zbl0683.01007MR1007036
  2. [2] C. Chevalley , Sur la Classification des Algèbres de Lie Simples et de leur Représentations, Comptes Rendus, 227 (1948) 1136-38. Zbl0034.17001MR27270
  3. [3] J.-P. Serre , Algèbres de Lie Semi-Simples Complexes, Benjamin (1966). Zbl0144.02105MR215886
  4. [4] V. Kac, Infinite Dimensional Lie Algebras, Cambridge Univ. Press (1990). Zbl0716.17022MR1104219
  5. [5] R. Moody, A. Pianzola, Lie Algebras with Triangular Decompositions, Wiley (1995). Zbl0874.17026MR1323858
  6. [6] M. Green, J. Schwarz, E. Witten, Superstying Theory, Camb. Univ. Press ( 1987). 
  7. [7] P. Di Francesco , P. Mathieu, D. Senechal, Conformal Field Theory, Springer (1996). 
  8. [8] S. Adler and R. Dashen, Current Algebras, Benjamin ( 1968). Zbl0164.56601MR363263
  9. [9] R. Jackiw , S. Treiman, E. Witten and B. Zumino, Current Algebra and Anomalies, World Scientific (1985). Zbl0604.53042MR880209
  10. [10] H. Sugawara , A Field Theory of Currents, Phys. Rev.170 (1968) 1659-1662; C. Sommerfeld, Currents as Dynamical Variables, ibid. 176 (1968) 2019-2025. 
  11. [11] S. Coleman , D. Gross and R. Jackiw,Fermion Atavars of the Sugawara Model, Phys. Rev.180 (1969) 1359-1366. 
  12. [12] A. Belavin , A. Polyakov and A. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theories, Nucl. Phys.B241 (1984) 331-380. Zbl0661.17013
  13. [13] P. Goddard and D. Olive, Kac-Moody and Virasoro Algebras in Relation to Quantum Physics, Int. J. Mod. Phys.A1 (1986) 303-414. Zbl0631.17012MR864165
  14. [14] P. Bouknecht and K. Schoutens, W-Symmetry, World Scientific, 1995. Zbl0921.17008MR1338864
  15. [15] L. Feher , L. O'Raifeartaigh, P. Ruelle, I. Tsutsui and A. Wipf, On Hamiltonian Reductions of the Wess-Zumino-Novikov-Witten Theories, Physics ReportsC221 ( 1992) 3-64. MR1192998
  16. [16] L. Feher, Classification of KdV-type Hierarchies and related W-Algebras in the Drinfeld-Sokolov Approach, Comptes Rendus of Conference W-Algebras : Extended Conformal Symmetries , July 3-7 1995, Centre de Physique Théorique de Marseille, eds. R. Grimm and V. Ovsienko. 

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