Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules

Kenji Iohara[1]; Yoshiyuki Koga[2]

  • [1] Kobe University, Faculty of Science, Department of Mathematics, Kobe 657-8501 (Japon)
  • [2] University of Fukui, Faculty of Engineering, Department of Applied Physics, Fukui 910-8507 (Japon)

Annales de l’institut Fourier (2003)

  • Volume: 53, Issue: 6, page 1755-1818
  • ISSN: 0373-0956

Abstract

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In this article, we study the structure of Fock modules over N = 1 super Virasoro algebras. As an application, we construct Bechi-Rouet–Stora–Tyutin type resolutions for N = 1 super minimal models and their descendants.

How to cite

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Iohara, Kenji, and Koga, Yoshiyuki. "Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules." Annales de l’institut Fourier 53.6 (2003): 1755-1818. <http://eudml.org/doc/116085>.

@article{Iohara2003,
abstract = {In this article, we study the structure of Fock modules over $N=1$ super Virasoro algebras. As an application, we construct Bechi-Rouet–Stora–Tyutin type resolutions for $N=1$ super minimal models and their descendants.},
affiliation = {Kobe University, Faculty of Science, Department of Mathematics, Kobe 657-8501 (Japon); University of Fukui, Faculty of Engineering, Department of Applied Physics, Fukui 910-8507 (Japon)},
author = {Iohara, Kenji, Koga, Yoshiyuki},
journal = {Annales de l’institut Fourier},
keywords = {Neveu-Schwarz and Ramond algebras; Fock modules; Jantzen filtration; Felder-type complex; Neveu-Schwarz algebra; Ramond algebra},
language = {eng},
number = {6},
pages = {1755-1818},
publisher = {Association des Annales de l'Institut Fourier},
title = {Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules},
url = {http://eudml.org/doc/116085},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Iohara, Kenji
AU - Koga, Yoshiyuki
TI - Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules
JO - Annales de l’institut Fourier
PY - 2003
PB - Association des Annales de l'Institut Fourier
VL - 53
IS - 6
SP - 1755
EP - 1818
AB - In this article, we study the structure of Fock modules over $N=1$ super Virasoro algebras. As an application, we construct Bechi-Rouet–Stora–Tyutin type resolutions for $N=1$ super minimal models and their descendants.
LA - eng
KW - Neveu-Schwarz and Ramond algebras; Fock modules; Jantzen filtration; Felder-type complex; Neveu-Schwarz algebra; Ramond algebra
UR - http://eudml.org/doc/116085
ER -

References

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  1. P. Bouwknegt, K. Pilch, Fock space resolutions of the Virasoro highest weight modules with c 1 , Lett. Math. Phys. 23 (1991), 193-204 Zbl0849.17027MR1148749
  2. B. L. Feigin, D. B. Fuchs, Representations of the Virasoro algebra, 7 (1990), 465-554, Gordon and Breach Science Publ., New York Zbl0722.17020
  3. G. Felder, BRST approach to minimal models, Nucl. Phys. B 317 (1989), 215-236 MR995219
  4. K. Iohara, Y. Koga, Résolutions de type Bechi-Rouet-Stora-Tyutin pour les super-algèbres de Virasoro N = 1 , C. R. Acad. Sci. Paris, Sér I 330 (2000), 541-544 Zbl1015.17026MR1760435
  5. K. Iohara, Y. Koga, Representation Theory of Neveu-Schwarz and Ramond Algebras I: Verma Modules, Adv. Math 178 (2003), 1-65 Zbl1048.17005MR1994343
  6. J. C. Jantzen, Moduln mit einem höchsten Gewicht, 750 (1979), Springer-Verlag Zbl0426.17001MR552943
  7. A. Selberg, Bemerkninger om et multiplet integral, Norsk. Math. Tids. B 26 (1944), 71-78 Zbl0063.06870MR18287
  8. A. Tsuchiya, Y. Kanie, Fock Space Representations of the Virasoro Algebra -- Intertwining Operators --, Publ. RIMS Kyoto Univ 22 (1986), 259-327 Zbl0604.17008MR849260
  9. G. Felder, Erratum: "BRST approach to minimal models", Nuclear Phys. B 324 (1989) MR995219

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