Abstract
The N=1 locally supersymmetric non-linear sigma -model with the generalised Wess-Zumino-Witten term in two spacetime dimensions is constructed by the Noether procedure. The consideration is generalised to the N=2 locally supersymmetric sigma -model with torsion, using superconformal twisted chiral multiplets in the framework of the N=2, d=2 superconformal tensor calculus. The two-loop superconformal anomalies for the above theories are calculated and the critical dimensions for various N-extended Fermi string theories in the same approximation are derived.
| Original language | English |
|---|---|
| Article number | 017 |
| Pages (from-to) | 1163-1182 |
| Number of pages | 20 |
| Journal | Classical and Quantum Gravity |
| Volume | 4 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1987 |
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ASJC Scopus subject areas
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Supersymmetric σ-model with torsion in supergravity background and critical dimensions for string theories. / Ketov, S. V.
In: Classical and Quantum Gravity, Vol. 4, No. 5, 017, 1987, p. 1163-1182.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Supersymmetric σ-model with torsion in supergravity background and critical dimensions for string theories
AU - Ketov, S. V.
PY - 1987
Y1 - 1987
N2 - The N=1 locally supersymmetric non-linear sigma -model with the generalised Wess-Zumino-Witten term in two spacetime dimensions is constructed by the Noether procedure. The consideration is generalised to the N=2 locally supersymmetric sigma -model with torsion, using superconformal twisted chiral multiplets in the framework of the N=2, d=2 superconformal tensor calculus. The two-loop superconformal anomalies for the above theories are calculated and the critical dimensions for various N-extended Fermi string theories in the same approximation are derived.
AB - The N=1 locally supersymmetric non-linear sigma -model with the generalised Wess-Zumino-Witten term in two spacetime dimensions is constructed by the Noether procedure. The consideration is generalised to the N=2 locally supersymmetric sigma -model with torsion, using superconformal twisted chiral multiplets in the framework of the N=2, d=2 superconformal tensor calculus. The two-loop superconformal anomalies for the above theories are calculated and the critical dimensions for various N-extended Fermi string theories in the same approximation are derived.
UR - http://www.scopus.com/inward/record.url?scp=0011374468&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0011374468&partnerID=8YFLogxK
U2 - 10.1088/0264-9381/4/5/017
DO - 10.1088/0264-9381/4/5/017
M3 - Article
AN - SCOPUS:0011374468
VL - 4
SP - 1163
EP - 1182
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 5
M1 - 017
ER -