# Topics in statistical physics involving braids

Banach Center Publications (1998)

- Volume: 42, Issue: 1, page 221-234
- ISSN: 0137-6934

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topMcCabe, J., and Wydro, T.. "Topics in statistical physics involving braids." Banach Center Publications 42.1 (1998): 221-234. <http://eudml.org/doc/208807>.

@article{McCabe1998,

abstract = {We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.},

author = {McCabe, J., Wydro, T.},

journal = {Banach Center Publications},

keywords = {braid groups; statistical physics; anyon model; conformal field theory},

language = {eng},

number = {1},

pages = {221-234},

title = {Topics in statistical physics involving braids},

url = {http://eudml.org/doc/208807},

volume = {42},

year = {1998},

}

TY - JOUR

AU - McCabe, J.

AU - Wydro, T.

TI - Topics in statistical physics involving braids

JO - Banach Center Publications

PY - 1998

VL - 42

IS - 1

SP - 221

EP - 234

AB - We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.

LA - eng

KW - braid groups; statistical physics; anyon model; conformal field theory

UR - http://eudml.org/doc/208807

ER -

## References

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- [2] Y.-S. Wu, Phys. Rev. Lett. 52 (1984) 2103; J. Birman, Links, Braids and Mapping Class Groups (Princeton University Press 1974).
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- [4] for a review see: F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific 1990); A. Comtet, J. McCabe, and S. Ouvry, Images de la Physique (1992) 21.
- [5] see generally: M. Sporre, J. J. Verbaarshot, and I. Zahed, Phys. Rev. Lett. 67 (1991) 1817; G. V. Dunne, A. Lerda, and C. A. Trugenberger, Int. J. of Mod. Phys. B5 (1991) 1675; ibid Nucl. Phys. B370 (1992) 601; A. Khare, J. McCabe, and S. Ouvry, Phys. Rev. D46 (1992) 2714.
- [6] R. B. Laughlin, Phys. Rev. Lett. 60 (1988) 2677; Y.-H. Chen, F. Wilczek, E. Witten, and B. I. Halperin, Int. J. of Mod. Phys. B3 (1989) 1001.
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- [8] A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Nucl. Phys. B241 (1984) 333; for a review see articles of P. Ginsparg and J. Cardy in Les Houches Summer School 1988 (Eds. E. Brezin and J. Zinn-Justin).
- [9] D. Friedan, Z. Qiu, and S. Shenker, Phys. Rev. Lett. 52 (1984) 1575.
- [10] Vl. S. Dotsenko and V. Fateev, Nucl. Phys. B240 (1984) 312; ibid, B251 (1985) 691; Vl. Dotsenko, Nucl. Phys. B235 (1984) 54; J. McCabe and T. Wydro, ENSLAPP-L-526/95 (cond-mat/9507033).
- [11] G. Von Gehlen, V. Rittenberg, and T. Vescan, J. of Physics A20 (1987) 2577; G. T. Barkema and J. McCabe, J. Stat. Phys. 84 (1996) 1067.
- [12] V. Kac, Lecture Notes in Physics 94 (Springer 1979).
- [13] G. Moore and N. Seiberg, Phys. Lett. 212B (1988) 451; also in Superstrings 1989 (Eds. M. Green, R. Iengo, S. Randjbar-Daemi, E. Sezgin, and A. Strominger) 1.
- [14] L. Alvarez-Gaume, C. Gomez, and G. Sierra, in Physics and Mathematics of Strings (Eds. L. Brink, D. Friedan, and A.M. Polyakov) 16. Zbl0689.17009

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