Gauge and Gravitational Couplings in Four-Dimensional String Theories

Ginsparg, Paul H.

doi:10.1016/0370-2693(87)90357-1

Gauge and Gravitational Couplings in Four-Dimensional String Theories

Paul H. Ginsparg
(
- Harvard U.
)

Jun, 1987

5 pages

Published in:

Phys.Lett.B 197 (1987) 139-143

Published: 1987

DOI:

10.1016/0370-2693(87)90357-1

Report number:

HUTP-87/A043

View in:

reference search222 citations

Citations per year

Abstract: (Elsevier)

We reconsider the relation between the string scale m s = 2 α′ and the Planck scale m Pl = 1 G N in lower-dimensional string theories that do not necessarily admit an interpretation as compactified higher-dimensional theories. Assuming that the spacetime gauge symmetry is the reflection of a non-abelian affine Kac-Moody algebra on the world sheet, we point out that the string scale is generally given by m s 2 m Pl 2 =( g 2 4π )k , where g is the spacetime gauge coupling and k is the integrally quantized level of the affine algebra.

model: string
transformation: conformal
symmetry: gauge
coupling constant
algebra: Kac-Moody
scattering amplitude

References(14)

Figures(0)

Heterotic String Theory. 1. The Free Heterotic String

- Nucl.Phys.B 256 (1985) 253,
- In *Schellekens, A.N. (ed.): Superstring construction* 76-107. (Nucl. Phys. B256 (1985) 253-284) and Preprint - Gross, D.J. (85,rec.Apr.) 58 p. (see Book Index)
•
DOI:
- 10.1016/0550-3213(85)90394-3

Heterotic String Theory. 2. The Interacting Heterotic String

- Nucl.Phys.B 267 (1986) 75-124
•
DOI:
- 10.1016/0550-3213(86)90146-X

Construction of Fermionic String Models in Four-Dimensions

Hikaru Kawai
(
- Cornell U., LNS
)
,
David C. Lewellen
(
- Cornell U., LNS
)
,
S.H.Henry Tye
(
- Cornell U., LNS
)

- Nucl.Phys.B 288 (1987) 1,
- In *Schellekens, A.N. (ed.): Superstring construction* 283-358. (Nucl. Phys. B288 (1987) 1-76) and Cornell Univ. Ithaca - CLNS-86-0751 (86,rec.Nov.) 110 p. (see Book Index)
•
DOI:
- 10.1016/0550-3213(87)90208-2

Twisting Toroidally Compactified Heterotic Strings with Enlarged Symmetry Groups

- Phys.Lett.B 182 (1986) 28,
- IN *DINE, M. (ED.): STRING THEORY IN FOUR DIMENSIONS* 436-440. (PHYS. LETT. B182 (1986) 28-32) AND PREPRINT - MUELLER, M. (REC.DEC.86) 10 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(86)91073-7

Asymmetric Orbifolds

- Nucl.Phys.B 288 (1987) 551,
- IN *ANNECY 1988, PROCEEDINGS, CONFORMAL FIELD THEORIES AND RELATED TOPICS* 181-184.
•
DOI:
- 10.1016/0550-3213(87)90228-8

Chiral Four-Dimensional Heterotic Strings from Selfdual Lattices

W. Lerche
(
- CERN
)
,
D. Lust
(
- Munich, Max Planck Inst.
)
,
A.N. Schellekens
(
- CERN
)

- Nucl.Phys.B 287 (1987) 477,
•
DOI:
- 10.1016/0550-3213(87)90115-5

Conformal invariance, supersymmetry and string theory

Daniel Friedan
(
- Chicago U., EFI and
- Chicago U. and
- Princeton U.
)
,
Emil J. Martinec
(
- Chicago U., EFI and
- Chicago U. and
- Princeton U.
)
,
Stephen H. Shenker
(
- Chicago U., EFI and
- Chicago U. and
- Princeton U.
)

- Nucl.Phys.B 271 (1986) 93-165,
- Nucl.Phys.B 271 (1986) 93-165
•
DOI:
- 10.1016/S0550-3213(86)80006-2

Is the Superstring Weakly Coupled?

- Phys.Lett.B 162 (1985) 299-302
•
DOI:
- 10.1016/0370-2693(85)90927-X

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

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

Kac-Moody and Virasoro Algebras in Relation to Quantum Physics

Peter Goddard
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Int.J.Mod.Phys.A 1 (1986) 303,
•
DOI:
- 10.1142/S0217751X86000149

Nonabelian Bosonization in Two-Dimensions

Edward Witten
(
- Princeton U.
)

- Commun.Math.Phys. 92 (1984) 455-472,
•
DOI:
- 10.1007/BF01215276

Infinite dimensional Lie algebras, theta functions and modular forms

Victor G. Kac
(
- MIT, LNS
)
,
Dale H. Peterson
(
- Michigan U.
)

- Adv.Math. 53 (1984) 125-264
•
DOI:
- 10.1016/0001-8708(84)90032-X

String Theory on Group Manifolds

Doron Gepner
(
- Princeton U.
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 278 (1986) 493-549
•
DOI:
- 10.1016/0550-3213(86)90051-9