Unitary Representations of $N=4$ Superconformal Algebra

Eguchi, Tohru; Taormina, Anne

doi:10.1016/0370-2693(87)91679-0

Unitary Representations of $N=4$ Superconformal Algebra

Jun, 1987

7 pages

Published in:

Phys.Lett.B 196 (1987) 75

Published: 1987

DOI:

10.1016/0370-2693(87)91679-0

Report number:

LPTENS-87/23

View in:

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Abstract: (Elsevier)

We discuss unitary representations of the N =4 superconformal algebra. For a wide class of representations we obtain character formulas expressed in terms of the A (1) 1 character function.

TALK
ALGEBRA: CONFORMAL
SUPERSYMMETRY
ALGEBRA: REPRESENTATION

References(14)

Figures(0)

Determinant Formulae and Unitarity for the N=2 Superconformal Algebras in Two-Dimensions or Exact Results on String Compactification

Wayne Boucher
(
- Chicago U., EFI and
- Chicago U.
)
,
Daniel Friedan
(
- Chicago U., EFI and
- Chicago U.
)
,
Adrian Kent
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Lett.B 172 (1986) 316,
- IN *GODDARD, P. (ED.), OLIVE, D. (ED.): KAC-MOODY AND VIRASORO ALGEBRAS* 403-409. (PHYS. LETT. B172 (1986) 316-322) AND CHICAGO UNIV. - EFI 86-014 (86,REC.APR.) 18 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(86)90260-1

The Kac Formula for the $N=1$ and the $N=2$ Superconformal Algebras

Soonkeon Nam
(
- Yale U.
)

- Phys.Lett.B 172 (1986) 323-327
•
DOI:
- 10.1016/0370-2693(86)90261-3

Explicit Construction of Unitary Representations of the N=2 Superconformal Algebra

- Phys.Lett.B 174 (1986) 280-284
•
DOI:
- 10.1016/0370-2693(86)91099-3

Null Field Construction and Kac Formulae of $N=2$ Superconformal Algebras in Two-dimensions

Mitsuhiro Kato
(
- KEK, Tsukuba
)
,
Satoshi Matsuda
(
- Kyoto U.
)

- Phys.Lett.B 184 (1987) 184-190
•
DOI:
- 10.1016/0370-2693(87)90565-X

Characters of the Unitarizable Highest Weight Modules Over the $N=2$ Superconformal Algebras

V.K. Dobrev
(
- ICTP, Trieste
)

- Phys.Lett.B 186 (1987) 43
•
DOI:
- 10.1016/0370-2693(87)90510-7

Character Formula of C < 1 Unitary Representation of $N=2$ Superconformal Algebra

Yutaka Matsuo
(
- Tokyo U.
)

- Prog.Theor.Phys. 77 (1987) 793
•
DOI:
- 10.1143/PTP.77.793

Four Loop beta Function for the N=1 and N=2 Supersymmetric Nonlinear Sigma Model in Two-Dimensions

Marcus T. Grisaru
(
- Brandeis U.
)
,
A.E.M. van de Ven
(
- SUNY, Stony Brook
)
,
D. Zanon
(
- Harvard U.
)

- Phys.Lett.B 173 (1986) 423-428
•
DOI:
- 10.1016/0370-2693(86)90408-9

Beta Functions and Superstring Compactifications

- Phys.Lett.B 174 (1986) 48-50
•
DOI:
- 10.1016/0370-2693(86)91127-5

Superstring Modifications of Einstein's Equations

David J. Gross
(
- Princeton U.
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 277 (1986) 1,
- IN *DINE, M. (ED.): STRING THEORY IN FOUR DIMENSIONS* 238-247. (NUCL. PHYS. B277 (1986) 1-10) AND PREPRINT - GROSS, D.J. (86,REC.MAR.) 18 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(86)90429-3

Finiteness of Ricci Flat Supersymmetric Nonlinear Sigma Models

Luis Alvarez-Gaume
(
- Harvard U.
)
,
Paul H. Ginsparg
(
- Harvard U.
)

- Commun.Math.Phys. 102 (1985) 311,
- Commun. Math. Phys. 102 ( 1985) 311-326 and Harvard Univ. Cambridge - HUTP-85-A016 (85,REC.MAY) 27p
•
DOI:
- 10.1007/BF01229382

ULTRAVIOLET FINITENESS OF SUPERSYMMETRIC NONLINEAR SIGMA MODELS

C.M. Hull
(
- Princeton, Inst. Advanced Study and
- UC, Santa Barbara and
- MIT, LNS
)

- Nucl.Phys.B 260 (1985) 182-202,
- Preprint - HULL, C.M. (85,REC.JUN.) 33p,
- Nucl. Phys. B260 ( 1985) 182-202 and Preprint - HULL, C.M. (85,REC.JUN.) 33p
•
DOI:
- 10.1016/0550-3213(85)90317-7

Constraints on Supersymmetry Breaking

Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 202 (1982) 253,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 490-553. (NUCL. PHYS. B202 (1982) 253-316) AND PREPRINT - WITTEN, E. (REC.MAR.82) 111 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(82)90071-2

Anomalies and Modular Invariance in String Theory

A.N. Schellekens
(
- CERN
)
,
N.P. Warner
(
- MIT
)

- Phys.Lett.B 177 (1986) 317-323
•
DOI:
- 10.1016/0370-2693(86)90760-4

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

Unitary Representations of N=4N=4N=4 Superconformal Algebra

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Unitary Representations of $N=4$ Superconformal Algebra