N = 2 Morse-Liouville theory and non-minimal superconformal theories

L. Girardello; A. Pasquinucci; M. Porrati

doi:10.1016/0550-3213(91)90106-8

N = 2 Morse-Liouville theory and non-minimal superconformal theories

L. Girardello, A. Pasquinucci, M. Porrati

Research output: Contribution to journal › Article › peer-review

Abstract

We define and study the Morse-Liouville theory, i.e. a massive deformation of the N = 2, d = 2 Liouville model. Standard arguments of N = 2, d = 2 supersymmetry allow the computation of correlation functions and functions and fusion rules for subsets of (anti)chiral fields in the scaling regime, where N = 2 superconformal invariance is expected to be recovered. We find the relation c = 3(1+1/β²) > 3 between the coupling constant β and the central charge c of the scaling limit theory which is conjectured to represent sectors of non-minimal superconformal theories.

Original language	English (US)
Pages (from-to)	769-790
Number of pages	22
Journal	Nuclear Physics, Section B
Volume	352
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(91)90106-8
State	Published - Apr 1 1991

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "N = 2 Morse-Liouville theory and non-minimal superconformal theories",

abstract = "We define and study the Morse-Liouville theory, i.e. a massive deformation of the N = 2, d = 2 Liouville model. Standard arguments of N = 2, d = 2 supersymmetry allow the computation of correlation functions and functions and fusion rules for subsets of (anti)chiral fields in the scaling regime, where N = 2 superconformal invariance is expected to be recovered. We find the relation c = 3(1+1/β2) > 3 between the coupling constant β and the central charge c of the scaling limit theory which is conjectured to represent sectors of non-minimal superconformal theories.",

author = "L. Girardello and A. Pasquinucci and M. Porrati",

note = "Funding Information: * This work was supported in part by the Director, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the US Department of Energy under contract DE-AC03-76SF00098, in part by the National Science Foundation under research grant PHY85-15857, and in part by the MURST, Italy.",

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T1 - N = 2 Morse-Liouville theory and non-minimal superconformal theories

AU - Girardello, L.

AU - Pasquinucci, A.

AU - Porrati, M.

N1 - Funding Information: * This work was supported in part by the Director, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the US Department of Energy under contract DE-AC03-76SF00098, in part by the National Science Foundation under research grant PHY85-15857, and in part by the MURST, Italy.

PY - 1991/4/1

Y1 - 1991/4/1

N2 - We define and study the Morse-Liouville theory, i.e. a massive deformation of the N = 2, d = 2 Liouville model. Standard arguments of N = 2, d = 2 supersymmetry allow the computation of correlation functions and functions and fusion rules for subsets of (anti)chiral fields in the scaling regime, where N = 2 superconformal invariance is expected to be recovered. We find the relation c = 3(1+1/β2) > 3 between the coupling constant β and the central charge c of the scaling limit theory which is conjectured to represent sectors of non-minimal superconformal theories.

AB - We define and study the Morse-Liouville theory, i.e. a massive deformation of the N = 2, d = 2 Liouville model. Standard arguments of N = 2, d = 2 supersymmetry allow the computation of correlation functions and functions and fusion rules for subsets of (anti)chiral fields in the scaling regime, where N = 2 superconformal invariance is expected to be recovered. We find the relation c = 3(1+1/β2) > 3 between the coupling constant β and the central charge c of the scaling limit theory which is conjectured to represent sectors of non-minimal superconformal theories.

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