ON N=4 extended superLiouville theory

Kounnas, Costas; Porrati, Massimo; Rostand, Bruno

doi:10.1016/0370-2693(91)91210-M

ON N=4 extended superLiouville theory

Costas Kounnas
(
- Ecole Normale Superieure
)
,
Massimo Porrati
(
- INFN, Pisa
)
,
Bruno Rostand
(
- Ecole Normale Superieure
)

Dec, 1990

9 pages

Published in:

Phys.Lett.B 258 (1991) 61-69

Published: 1991

DOI:

10.1016/0370-2693(91)91210-M

Report number:

LPTENS-90-17,
IFUP-TH-1-91

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Abstract: (Elsevier)

We examine the coupling of two-dimensional, N =4 extended supergravity to N = 4 supersymmetric matter systems. In the superconformal gauge, the effective action for the gravity supermultiplet, i.e. the N =4 super-Liouville action is derived. We also determine the supergravitational dressing of matter primary fields transforming in the so-called “massless” representations of the N =4 superalgebra, and the corresponding scaling properties of the partition function. Finally some applications to non-critical string-like models propagating in quaternionic spaces are discussed.

supergravity
coupling: matter
matter: coupling
dimension: 2
supersymmetry
conformal gauge
effective action
field theory: Liouville
algebra: representation
partition function

References(30)

Figures(0)

Quantum Geometry of Bosonic Strings

Alexander M. Polyakov
(
- Landau Inst.
)

- Phys.Lett.B 103 (1981) 207-210,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 287-290,
•
DOI:
- 10.1016/0370-2693(81)90743-7

Quantum Gravity in Two-Dimensions

Alexander M. Polyakov
(
- Landau Inst.
)

- Mod.Phys.Lett.A 2 (1987) 893
•
DOI:
- 10.1142/S0217732387001130

Fractal Structure of 2D Quantum Gravity

V.G. Knizhnik
(
- Landau Inst.
)
,
Alexander M. Polyakov
(
- Landau Inst.
)
,
A.B. Zamolodchikov
(
- Landau Inst.
)

- Mod.Phys.Lett.A 3 (1988) 819,
•
DOI:
- 10.1142/S0217732388000982

Dimension Shifting Operators and Null States in Two-dimensional Conformally Invariant Field Theories

Jean-Loup Gervais
(
- Ecole Normale Superieure
)
,
A. Neveu
(
- CERN
)

- Nucl.Phys.B 264 (1986) 557-572
•
DOI:
- 10.1016/0550-3213(86)90498-0

- Nucl.Phys.B 257 14

Conformal Field Theories Coupled to 2D Gravity in the Conformal Gauge

F. David
(
- Saclay, SPhT
)

- Mod.Phys.Lett.A 3 (1988) 1651
•
DOI:
- 10.1142/S0217732388001975

Conformal Field Theory and 2D Quantum Gravity

Jacques Distler
(
- Cornell U., LNS
)
,
Hikaru Kawai
(
- Cornell U., LNS
)

- Nucl.Phys.B 321 (1989) 509-527
•
DOI:
- 10.1016/0550-3213(89)90354-4

Exactly Solvable Field Theories of Closed Strings

- Phys.Lett.B 236 (1990) 144-150,
- Also in *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 711-717
•
DOI:
- 10.1016/0370-2693(90)90818-Q

Strings in Less Than One-Dimension

- Nucl.Phys.B 335 (1990) 635,
•
DOI:
- 10.1016/0550-3213(90)90522-F

Nonperturbative Solution of the Ising Model on a Random Surface

David J. Gross
(
- Princeton U.
)
,
Alexander A. Migdal
(
- Princeton U.
)

- Phys.Rev.Lett. 64 (1990) 717
•
DOI:
- 10.1103/PhysRevLett.64.717

Fractal Structure of Two-Dimensional Supergravity

- Mod.Phys.Lett.A 3 (1988) 1213-1219
•
DOI:
- 10.1142/S0217732388001458

- Mod.Phys.Lett.A 4 819

Superliouville Theory as a Two-Dimensional, Superconformal Supergravity Theory

Jacques Distler
(
- Cornell U., LNS
)
,
Zvonimir Hlousek
(
- Cornell U., LNS
)
,
Hikaru Kawai
(
- Cornell U., LNS
)

- Int.J.Mod.Phys.A 5 (1990) 391
•
DOI:
- 10.1142/S0217751X90000180

Twisted Multiplets and New Supersymmetric Nonlinear Sigma Models

- Nucl.Phys.B 248 (1984) 157-186
•
DOI:
- 10.1016/0550-3213(84)90592-3

$N=2$ Superliouville and Noncritical Strings

Ignatios Antoniadis
(
- Ecole Polytechnique
)
,
C. Bachas
(
- CERN
)
,
C. Kounnas
(
- Ecole Normale Superieure
)

- Phys.Lett.B 242 (1990) 185-190,
- Phys. Lett. B242 (1990) 185-190 and CERN Geneva - TH. 5673 (90,rec.Apr.) 11 p
•
DOI:
- 10.1016/0370-2693(90)91456-L

Rigidly and Locally Supersymmetric Two-dimensional Nonlinear $\sigma$ Models With Torsion

B. de Wit
(
- Utrecht U.
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Nucl.Phys.B 312 (1989) 58-94
•
DOI:
- 10.1016/0550-3213(89)90023-0

Dual String Models with Nonabelian Color and Flavor Symmetries

M. Ademollo
(
- Florence U. and
- INFN, Florence
)
,
L. Brink
(
- Goteborg, ITP
)
,
A. D'Adda
(
- Turin U. and
- INFN, Turin
)
,
R. D'Auria
(
- Turin U. and
- INFN, Turin
)
,
E. Napolitano
(
- Turin U. and
- INFN, Turin
)

et al.

- Nucl.Phys.B 114 (1976) 297-316
•
DOI:
- 10.1016/0550-3213(76)90590-3

- Teor.Mat.Fiz. 66 68

Factoring Out Free Fermions and Superconformal Algebras

Peter Goddard
(
- Cambridge U.
)
,
Adam Schwimmer
(
- Weizmann Inst.
)

- Phys.Lett.B 214 (1988) 209-214
•
DOI:
- 10.1016/0370-2693(88)91470-0

O(n) Extended Superconformal Field Theory in Superspace

K. Schoutens
(
- Utrecht U.
)

- Nucl.Phys.B 295 (1988) 634-652
•
DOI:
- 10.1016/0550-3213(88)90539-1

Character Formulas for the $N=4$ Superconformal Algebra

- Phys.Lett.B 200 (1988) 315,
- Trieste HEP Workshop 1987:0239
•
DOI:
- 10.1016/0370-2693(88)90778-2

Superconformal Algebras in Two-Dimensions with N=4

- Phys.Lett.B 208 (1988) 447-450
•
DOI:
- 10.1016/0370-2693(88)90645-4

On the Unitary Representations of a Class of $N=4$ Superconformal Algebras

- Nucl.Phys.B 322 (1989) 402,
- CERN GENEVA - TH. 5253 (88,REC.FEB.89) 29p,
- NUCL. PHYS. B322 (1989) 402-430 AND CERN GENEVA - TH. 5253 (88,REC.FEB.89) 29p
•
DOI:
- 10.1016/0550-3213(89)90421-5

A Covariant Action for the SU(2) Spinning String as a Hyperkahler or Quaternionic Nonlinear $\sigma$ Model

- Phys.Lett.B 169 (1986) 381,
•
DOI:
- 10.1016/0370-2693(86)90376-X

Quantum Realizations of the Superanomaly in Two-dimensional Models

Paolo Rossi
(
- Zurich, ETH
)

- Nucl.Phys.B 261 (1985) 731-749
•
DOI:
- 10.1016/0550-3213(85)90595-4

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