Central Charge of the Virasoro Algebra for Supersymmetric $\sigma$ Models on Calabi-yau Manifolds

Sen, Ashoke

doi:10.1016/0370-2693(86)91395-X

Central Charge of the Virasoro Algebra for Supersymmetric $\sigma$ Models on Calabi-yau Manifolds

Ashoke Sen
(
- SLAC
)

May, 1986

3 pages

Published in:

Phys.Lett.B 178 (1986) 370-372

Published: 1986

DOI:

10.1016/0370-2693(86)91395-X

Report number:

SLAC-PUB-3956

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Abstract: (Elsevier)

It is shown that the central charge of the Virasoro algebra for a conformally invariant supersymmetric σ-model on a Calabi-Yau manifold remains equal to its free field value to order α′ 4 despite the non-Ricci-flatness of the background metric. Various possibilities for higher loop contributions are discussed.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
SUPERSYMMETRY
FIELD THEORY: SPACE-TIME
PERTURBATION THEORY: HIGHER-ORDER
ALGEBRA: VIRASORO
ALGEBRA: CENTRAL CHARGE
FIELD THEORY: TEN-DIMENSIONAL
FIELD THEORY: TWO-DIMENSIONAL
INVARIANCE: CONFORMAL

References(20)

Figures(0)

Kahler Geometry and the Renormalization of Supersymmetric Sigma Models

- Phys.Rev.D 22 (1980) 846
•
DOI:
- 10.1103/PhysRevD.22.846

Geometrical Structure and Ultraviolet Finiteness in the Supersymmetric Sigma Model

Luis Alvarez-Gaume
(
- MIT and
- SUNY, Stony Brook
)
,
Daniel Z. Freedman
(
- MIT and
- SUNY, Stony Brook
)

- Commun.Math.Phys. 80 (1981) 443
•
DOI:
- 10.1007/BF01208280

The Background Field Method and the Ultraviolet Structure of the Supersymmetric Nonlinear Sigma Model

Luis Alvarez-Gaume
(
- MIT and
- SUNY, Stony Brook
)
,
Daniel Z. Freedman
(
- MIT and
- SUNY, Stony Brook
)
,
Sunil Mukhi
(
- SUNY, Stony Brook
)

- Annals Phys. 134 (1981) 85
•
DOI:
- 10.1016/0003-4916(81)90006-3

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

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

Three Loop Finiteness in Ricci Flat Supersymmetric Nonlinear $\sigma$ Models

Luis Alvarez-Gaume
(
- MIT, LNS and
- SUNY, Stony Brook
)

- Nucl.Phys.B 184 (1981) 180-188,
- Nucl. Phys. B184 ( 1981) 180-188
•
DOI:
- 10.1016/0550-3213(81)90214-5

Effective Action Approach to Superstring Theory

E.S. Fradkin
(
- Lebedev Inst.
)
,
Arkady A. Tseytlin
(
- Lebedev Inst.
)

- Phys.Lett.B 160 (1985) 69-76
•
DOI:
- 10.1016/0370-2693(85)91468-6

Quantum String Theory Effective Action

E.S. Fradkin
(
- Lebedev Inst.
)
,
Arkady A. Tseytlin
(
- Lebedev Inst.
)

- Nucl.Phys.B 261 (1985) 1-27,
- Nucl. Phys. B261 ( 1985) 1-27,
- Nucl.Phys.B 269 (1986) 745-745 (erratum)
•
DOI:
- 10.1016/0550-3213(85)90559-0

Vacuum configurations for superstrings

P. Candelas
(
- Texas U. and
- Santa Barbara, KITP
)
,
Gary T. Horowitz
(
- UC, Santa Barbara
)
,
Andrew Strominger
(
- Princeton, Inst. Advanced Study
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 258 (1985) 46-74,
- Nucl.Phys.B 258 (1985) 46-74,
- Also in *Schwarz, J.H. (ed.): Superstrings, Vol. 2*, 1107-1137, and in *Ferrara, S. (ed.): Supersymmetry, Vol. 2*, 1310-1338, and in *Dine, M. (ed.): String theory in four dimensions* 49-77
•
DOI:
- 10.1016/0550-3213(85)90602-9

The Heterotic String in Arbitrary Background Field

Ashoke Sen
(
- Fermilab
)

- Phys.Rev.D 32 (1985) 2102
•
DOI:
- 10.1103/PhysRevD.32.2102

Equations of Motion for the Heterotic String Theory from the Conformal Invariance of the Sigma Model

Ashoke Sen
(
- Fermilab
)

- Phys.Rev.Lett. 55 (1985) 1846
•
DOI:
- 10.1103/PhysRevLett.55.1846

Strings in Background Fields

Curtis G. Callan, Jr.
(
- Princeton U.
)
,
E.J. Martinec
(
- Princeton U.
)
,
M.J. Perry
(
- Princeton U.
)
,
D. Friedan
(
- Chicago U., EFI and
- Chicago U.
)

- Nucl.Phys.B 262 (1985) 593-609
•
DOI:
- 10.1016/0550-3213(85)90506-1

Critical Dimension of String Theories in Curved Space

Dennis Nemeschansky
(
- SLAC
)
,
S. Yankielowicz
(
- SLAC
)

- Phys.Rev.Lett. 54 (1985) 620,
- Phys.Rev.Lett. 54 (1985) 1736 (erratum),
- Phys. Rev. Lett. 54 ( 1985) 620-623
•
DOI:
- 10.1103/PhysRevLett.54.620

Virasoro Algebras and Coset Space Models

P. Goddard
(
- Cambridge U.
)
,
A. Kent
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Phys.Lett.B 152 (1985) 88-92
•
DOI:
- 10.1016/0370-2693(85)91145-1

Conformal Invariance and String Theory in Compact Space: Bosons

- Phys.Rev.D 32 (1985) 2713
•
DOI:
- 10.1103/PhysRevD.32.2713

- Phys.Lett.B 60 111

Dimensional Reduction of Superstring Models

Edward Witten
(
- Princeton U.
)

- Phys.Lett.B 155 (1985) 151,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 2*, 1339-1343. (PHYS. LETT. 155B (1985) 151) AND PREPRINT - WITTEN, E. (85,REC.APR.) 13 P. (SEE BOOK INDEX),
- IN *DINE, M. (ED.): STRING THEORY IN FOUR DIMENSIONS* 114-118. (Phys. Lett. B155 (1985) 151-155) AND PREPRINT - WITTEN, E. (85,REC.APR.) 13 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(85)90976-1

Nonlinear Models in Two + Epsilon Dimensions

Daniel Harry Friedan
(
- LBL, Berkeley
)

- Annals Phys. 163 (1985) 318
•
DOI:
- 10.1016/0003-4916(85)90384-7

Couplings and Scales in Superstring Models

- Phys.Rev.Lett. 55 (1985) 366,
- IN *DINE, M. (ED.): STRING THEORY IN FOUR DIMENSIONS* 168-171. (PHYS. REV. LETT. 55 (1985) 366-369) AND PREPRINT - DINE, M. (85,REC.MAY) 10 P. (SEE BOOK INDEX)
•
DOI:
- 10.1103/PhysRevLett.55.366

Nonlinear Models in Two Epsilon Dimensions

D. Friedan
(
- LBL, Berkeley and
- UC, Berkeley
)

- Phys.Rev.Lett. 45 (1980) 1057
•
DOI:
- 10.1103/PhysRevLett.45.1057

Central Charge of the Virasoro Algebra for Supersymmetric σ\sigmaσ Models on Calabi-yau Manifolds

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Central Charge of the Virasoro Algebra for Supersymmetric $\sigma$ Models on Calabi-yau Manifolds