bibliography

• DONE Find file Polyakov:1970xd
  @Article{Polyakov:1970xd, author = "Polyakov, Alexander M.", title = "{Conformal symmetry of critical fluctuations}", journal = "JETP Lett.", volume = "12", year = "1970", pages = "381-383", SLACcitation = "%%CITATION = JTPLA,12,381;%%" }

file @article{belavin1984ics, title={{Infinite conformal symmetry in two-dimensional quantum field theory}}, author={Belavin, AA and Polyakov, AM and Zamolodchikov, AB}, journal={Nuclear Physics}, volume={241}, pages={333–380}, year={1984} }

• WZW-term proposed, connection with flavours and so on
  Witten₁₉₈₄.pdf Also everything is discussed in Walton's review

  @article{witten1984nab, title={{Non-abelian bosonization in two dimensions}}, author={Witten, E.}, journal={Communications in Mathematical Physics}, volume={92}, number={4}, pages={455–472}, year={1984}, publisher={Springer} }

Di Francesco P. Mathieu P. Senechal D. Conformal field theory.djvu

@book{difrancesco1997cft, title={{Conformal field theory}}, author={Di Francesco, P. and Mathieu, P. and Senechal, D.}, year={1997}, publisher={Springer} }

file @Article{Walton:1999xc, author = "Walton, Mark", title = "{Affine Kac-Moody algebras and the Wess-Zumino-Witten model}", year = "1999", eprint = "hep-th/9911187", archivePrefix = "arXiv", SLACcitation = "%%CITATION = HEP-TH/9911187;%%" }

@article{ginsparg1988acf, title={{Applied conformal field theory}}, author={Ginsparg, P.}, journal={Arxiv preprint hep-th/9108028}, year={1988}, eprint = {hep-th/9108028}

}

Very mathematical, but useful

@article{gaberdiel2000icf, title={{An introduction to conformal field theory}}, author={Gaberdiel, M.R.}, journal={Reports on Progress in Physics}, volume={63}, number={4}, pages={607–668}, year={2000}, publisher={London, The Institute of Physics.}, eprint = {hep-th/9910156}

}

Kohno_-_{ConformalFieldTheoryandTopology}__91s_ @book{kohno2002conformal, title={{Conformal field theory and topology}}, author={Kohno, T.}, year={2002}, publisher={Amer Mathematical Society} }

@book{schottenloher2008mathematical, title={{A mathematical introduction to conformal field theory}}, author={Schottenloher, M.}, year={2008}, publisher={Springer Verlag} }

Big classical review @Article{Aharony:1999ti, author = "Aharony, Ofer and Gubser, Steven S. and Maldacena, Juan Martin and Ooguri, Hirosi and Oz, Yaron", title = "{Large N field theories, string theory and gravity}", journal = "Phys. Rept.", volume = "323", year = "2000", pages = "183-386", eprint = "hep-th/9905111", archivePrefix = "arXiv", doi = "10.1016/S0370-1573(99)00083-6", SLACcitation = "%%CITATION = HEP-TH/9905111;%%" }

hep-th0201253_{(Hoker,Freedman,AdS-CFT Lectures)}.pdf @Article{D'Hoker:2002aw, author = "D'Hoker, Eric and Freedman, Daniel Z.", title = "{Supersymmetric gauge theories and the AdS/CFT correspondence}", year = "2002", eprint = "hep-th/0201253", archivePrefix = "arXiv", SLACcitation = "%%CITATION = HEP-TH/0201253;%%" }

file @book{kac1990idl, title={{Infinite dimensional Lie algebras}}, author={Kac, V.G.}, year={1990}, publisher={Cambridge University Press} }

First book @book{wakimoto2001idl, title={{Infinite-dimensional Lie algebras}}, author={Wakimoto, M.}, year={2001}, publisher={American Mathematical Society} } Second book @book{wakimoto2001lectures, title={{Lectures on infinite-dimensional Lie algebra}}, author={Wakimoto, M.}, year={2001}, publisher={World scientific} }

Volume 1 From volume 2 @book{kass1990ala, title={{Affine Lie algebras, weight multiplicities, and branching rules}}, author={Kass, S. and Moody, RV and Patera, J. and Slansky, R.}, year={1990}, publisher={Sl} }

file @article{fuchs1995affine, title={{Affine Lie algebras and quantum groups}}, author={Fuchs, J.}, journal={Affine Lie Algebras and Quantum Groups, by J{\\"u}rgen A. Fuchs}, pages={447}, year={1995} }

File Useful strict and simple book with reference pages in the end @book{carter2005lie, title={{Lie algebras of finite and affine type}}, author={Carter, R.}, year={2005}, publisher={Cambridge University Press} }

D'Hoker, Phong - Lax pairs and affine lie algebras, arxiv 98.pdf DHoker-AffineLieAlgsAndLaxPairs @Article{D'Hoker:1998yg, author = "D'Hoker, Eric and Phong, D. H.", title = "{Calogero-Moser Lax Pairs with Spectral Parameter for General Lie Algebras}", journal = "Nucl. Phys.", volume = "B530", year = "1998", pages = "537-610", eprint = "hep-th/9804124", archivePrefix = "arXiv", doi = "10.1016/S0550-3213(98)00568-9", SLACcitation = "%%CITATION = HEP-TH/9804124;%%" } @Article{D'Hoker:1998yh, author = "D'Hoker, Eric and Phong, D. H.", title = "{Calogero-Moser and Toda Systems for Twisted and Untwisted Affine Lie Algebras}", journal = "Nucl. Phys.", volume = "B530", year = "1998", pages = "611-640", eprint = "hep-th/9804125", archivePrefix = "arXiv", doi = "10.1016/S0550-3213(98)00569-0", SLACcitation = "%%CITATION = HEP-TH/9804125;%%" }

Fusion rules for affine Kac-Moody algebras @conference{feingold2004fusion, title={{Fusion rules for affine Kac-Moody algebras}}, author={Feingold, A.J.}, booktitle={Kac-Moody Lie algebras and related topics: Ramanujan International Symposium on Kac-Moody Lie Algebras and Applications, January 28-31, 2002, Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India}, volume={343}, pages={53}, year={2004}, organization={Amer Mathematical Society} }

coxeter.mpl @article{stembridge1995mps, title={{A Maple package for symmetric functions}}, author={Stembridge, J.R.}, journal={Journal of Symbolic Computation}, volume={20}, number={5-6}, pages={755–758}, year={1995}, publisher={Elsevier}, url={http://www.math.lsa.umich.edu/~jrs/maple.html} }

LiE literateLiE @article{vanleeuwen1994lsp, title={{LiE, a software package for Lie group computations}}, author={Van Leeuwen, MAA}, journal={Euromath Bull}, volume={1}, number={2}, pages={83–94}, year={1994}, url={http://www-math.univ-poitiers.fr/~maavl/LiE/} }

lambdatensor @article{fischbacher2002ilp, title={{Introducing LambdaTensor1. 0-A package for explicit symbolic and numeric Lie algebra and Lie group calculations}}, author={Fischbacher, T.}, journal={Arxiv preprint hep-th/0208218}, year={2002} }

KacMan.pdf Program @Article{Fuchs:1996dd, author = "Fuchs, J. and Schellekens, A. N. and Schweigert, C.", title = "{A matrix S for all simple current extensions}", journal = "Nucl. Phys.", volume = "B473", year = "1996", pages = "323-366", eprint = "hep-th/9601078", archivePrefix = "arXiv", doi = "10.1016/0550-3213(96)00247-7", SLACcitation = "%%CITATION = HEP-TH/9601078;%%", url = {http://www.nikhef.nl/~t58/kac.html} }

The paper @article{moody1982fast, title={{Fast recursion formula for weight multiplicities}}, author={Moody, RV and Patera, J.}, journal={AMERICAN MATHEMATICAL SOCIETY}, volume={7}, number={1}, year={1982} }