G / G topological field theories by cosetting G(k)

Spiegelglas, Mordechai; Yankielowicz, Shimon

doi:10.1016/0550-3213(93)90247-M

G / G topological field theories by cosetting G(k)

Mordechai Spiegelglas
(
- Technion
)
,
Shimon Yankielowicz
(
- Tel Aviv U.
)

Jan 21, 1992

40 pages

Published in:

Nucl.Phys.B 393 (1993) 301-336

e-Print:

hep-th/9201036 [hep-th]

DOI:

10.1016/0550-3213(93)90247-M

Report number:

TECHNION-PH-90-34,
TAUP-1934-91

View in:

pdf

reference search36 citations

Citations per year

Abstract:

G/G

topological field theories based on

G_k

WZW models are constructed and studied. These coset models are formulated as Complex BRST cohomology in

G~c_k

, the complexified level

k

current algebra. The finite physical spectrum corresponds to the conformal blocks of

G_k

.The amplitudes for

G/G

theories are argued to be given in terms of the

G_k

fusion rules. The

G_k/G_k

character is the Kac-Weyl numerator of

G_k

and is interpreted as an index. The Complex BRST cohomology is found to contain states of arbitrary ghost number. Intriguing similarities of

G/G

to

c\leq 1

matter systems coupled to two dimensional gravity are pointed out.

field theory: topological
Wess-Zumino-Witten model
dimension: 2
coset space
field theory: conformal
field theory: rational
current algebra
cohomology: Becchi-Rouet-Stora
gauge field theory
Landau-Ginzburg model

References(52)

Figures(0)

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 Two-Dimensional Quantum Gravity

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

- Phys.Rev.Lett. 64 (1990) 127,
•
DOI:
- 10.1103/PhysRevLett.64.127

Strings in Less Than One-dimension and the Generalized $K^- D^- V$ Hierarchies

Michael R. Douglas
(
- Rutgers U., Piscataway
)

- Phys.Lett.B 238 (1990) 176,
•
DOI:
- 10.1016/0370-2693(90)91716-O

On the Structure of the Topological Phase of Two-dimensional Gravity

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 340 (1990) 281-332
•
DOI:
- 10.1016/0550-3213(90)90449-N

Wilson Loop Observables in (2+1)-dimensional {Chern-Simons} Supergravity

- Nucl.Phys.B 341 (1990) 167-186
•
DOI:
- 10.1016/0550-3213(90)90267-H

Intersection theory and two-dimensional gravity at genus 3 and 4

James H. Horne
(
- Princeton U.
)

- Mod.Phys.Lett.A 5 (1990) 2127-2134,
- Mod. Phys. Lett. A5 (1990) 2127-2134 and Princeton Univ. - PUPT-1185 (90,rec.Jul.) 11 p
•
DOI:
- 10.1142/S0217732390002420

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

The Ising Model Coupled to 2- $D$ Gravity: A Nonperturbative Analysis

- Phys.Lett.B 237 (1990) 43-46
•
DOI:
- 10.1016/0370-2693(90)90458-I

The Ising Model, the Yang-Lee Edge Singularity, and 2D Quantum Gravity

- Phys.Lett.B 237 (1990) 196-201
•
DOI:
- 10.1016/0370-2693(90)91428-E

Notes on quantum Liouville theory and quantum gravity

Nathan Seiberg
(
- Rutgers U., Piscataway
)

- Prog.Theor.Phys.Suppl. 102 (1990) 319-349,
- Prog. Theor. Phys. Suppl. 102 (1990) 319-349 and Rutgers Univ. Piscataway - RU-90-029 (90,rec.Aug.) 41 p,
- In *Cargese 1990, Proceedings, Random surfaces and quantum gravity* 363-395 and Rutgers Univ. Piscataway - RU-90-029 (90,rec.Aug.) 41 p
•
DOI:
- 10.1143/PTPS.102.319