On affine Lie superalgebras, AdS(3) / CFT correspondence and world sheets for world sheets

Andreev, Oleg

doi:10.1016/S0550-3213(99)00247-3

On affine Lie superalgebras, AdS(3) / CFT correspondence and world sheets for world sheets

Oleg Andreev
(
- Landau Inst.
)

Jan, 1999

19 pages

Published in:

Nucl.Phys.B 552 (1999) 169-193

e-Print:

hep-th/9901118 [hep-th]

DOI:

10.1016/S0550-3213(99)00247-3

Report number:

LANDAU-99-HEP-A1

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Abstract:

Space-time N=2 and N=4 superconformal algebras can be built using world-sheet free fields or, equivalently, free field representations of osp(1|2) and sl(2|1), respectively. A prescription for the calculation of space-time correlators is given. As applications we compute one and two-point correlation functions of Virasoro (superVirasoro) generators. We also present a possible scenario for taking into account of NS fivebranes in the framework of our construction for description of superstring on AdS_3. It is nothing but a simplified version of Green's ``world-sheets for world-sheets''.

Note:

LaTeX2e, 19 pages, 2 Postscript figures Report-no: LANDAU-99/HEP-A1

11.25.Hf
11.25.-w
Affine superalgebras
Strings
AdS/CFT correspondence
algebra: Lie
algebra: affine
supersymmetry
space-time: anti-de Sitter
dimension: 3

References(29)

Figures(0)

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

The World as a hologram

Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- J.Math.Phys. 36 (1995) 6377-6396
•
e-Print:
- hep-th/9409089
•
DOI:
- 10.1063/1.531249

World Sheets for World Sheets

Michael B. Green
(
- Queen Mary, U. of London
)

- Nucl.Phys.B 293 (1987) 593-611
•
DOI:
- 10.1016/0550-3213(87)90085-X

Supersymmetry Algebras That Include Topological Charges

Edward Witten
(
- Harvard U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Phys.Lett.B 78 (1978) 97-101
•
DOI:
- 10.1016/0370-2693(78)90357-X

Comments on string theory on AdS(3)

Amit Giveon
(
- Hebrew U.
)
,
D. Kutasov
(
- Chicago U. and
- Weizmann Inst.
)
,
Nathan Seiberg
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 733-782
•
e-Print:
- hep-th/9806194
•
DOI:
- 10.4310/ATMP.1998.v2.n4.a3

Quadrature of Conformal Field Theories

K. Gawedzki
(
- IHES, Bures-sur-Yvette
)

- Nucl.Phys.B 328 (1989) 733-752
•
DOI:
- 10.1016/0550-3213(89)90228-9

Extended superconformal algebras on AdS(3)

Katsushi Ito
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Phys.Lett.B 449 (1999) 48-55
•
e-Print:
- hep-th/9811002
•
DOI:
- 10.1016/S0370-2693(99)00070-2

String theory on AdS(3) x S3 x S3 x S**1

- Phys.Lett.B 449 (1999) 180-186
•
e-Print:
- hep-th/9811245
•
DOI:
- 10.1016/S0370-2693(99)00101-X

String theory in magnetic monopole backgrounds

David Kutasov
(
- Chicago U., EFI
)
,
Finn Larsen
(
- Chicago U., EFI
)
,
Robert G. Leigh
(
- Illinois U., Urbana
)

- Nucl.Phys.B 550 (1999) 183-213
•
e-Print:
- hep-th/9812027
•
DOI:
- 10.1016/S0550-3213(99)00144-3

String theory on AdS(3)

Jan de Boer
(
- UC, Berkeley and
- LBL, Berkeley
)
,
Hirosi Ooguri
(
- UC, Berkeley and
- LBL, Berkeley
)
,
Harlan Robins
(
- UC, Berkeley and
- LBL, Berkeley
)
,
Jonathan Tannenhauser
(
- UC, Berkeley and
- LBL, Berkeley
)

- JHEP 12 (1998) 026
•
e-Print:
- hep-th/9812046
•
DOI:
- 10.1088/1126-6708/1998/12/026

Hilbert space of space-time SCFT in AdS(3) superstring and T**4kp / S(kp) SCFT

Kazuo Hosomichi
(
- Tokyo U.
)
,
Yuji Sugawara
(
- Tokyo U.
)

- JHEP 01 (1999) 013
•
e-Print:
- hep-th/9812100
•
DOI:
- 10.1088/1126-6708/1999/01/013

Light cone gauge quantization of string theories on AdS(3) space

- Nucl.Phys.B 551 (1999) 425-449
•
e-Print:
- hep-th/9812216
•
DOI:
- 10.1016/S0550-3213(99)00154-6

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

- Commun.Math.Phys. 104 604

Hidden Osp( $N$ ,2) Symmetries in Superconformal Field Theories

- Phys.Lett.B 229 (1989) 374-378
•
DOI:
- 10.1016/0370-2693(89)90421-8

Free field representations for the affine superalgebra sl(2/1) and noncritical N=2 strings

- Phys.Lett.B 388 (1996) 303-308
•
e-Print:
- hep-th/9606015
•
DOI:
- 10.1016/S0370-2693(96)01103-3

Free field realizations of affine current superalgebras, screening currents and primary fields

Jorgen Rasmussen
(
- Bohr Inst.
)

- Nucl.Phys.B 510 (1998) 688-720
•
e-Print:
- hep-th/9706091
•
DOI:
- 10.1016/S0550-3213(97)00693-7

Towards complex (rational) powers of free fields, generalized beta gamma systems and nonpolynomial quantum field theory

Oleg Andreev
(
- Humboldt U., Berlin
)

- Int.J.Mod.Phys.A 10 (1995) 3221-3229
•
e-Print:
- hep-th/9407180
•
DOI:
- 10.1142/S0217751X95001558

Conformal blocks for admissible representations in SL(2) current algebra

- Nucl.Phys.B 457 (1995) 309-342
•
e-Print:
- hep-th/9504127
•
DOI:
- 10.1016/0550-3213(95)00499-8

On bosonization of 2-d conformal field theories

Oleg Andreev
(
- Humboldt U., Berlin
)
,
Boris Feigin
(
- Landau Inst.
)

- Nucl.Phys.B 433 (1995) 685-711,
- Ahrenshoop Symp.1993:0058-62
•
e-Print:
- hep-th/9403081
•
DOI:
- 10.1016/0550-3213(94)00340-K

Correlators of special states in c = 1 Liouville theory

Miao Li
(
- UC, Santa Barbara
)

- Nucl.Phys.B 382 (1992) 242-258
•
e-Print:
- hep-th/9110029
•
DOI:
- 10.1016/0550-3213(92)90186-F

Quantum rings and recursion relations in 2-D quantum gravity

Shamit Kachru
(
- Princeton U.
)

- Mod.Phys.Lett.A 7 (1992) 1419-1426
•
e-Print:
- hep-th/9201072
•
DOI:
- 10.1142/S0217732392001099

The Operator algebra of the discrete state operators in 2-D gravity with nonvanishing cosmological constant

V.S. Dotsenko
(
- CERN and
- Paris U., VI-VII
)

- Mod.Phys.Lett.A 7 (1992) 2505-2518,
- In *Como 1992, Proceedings, Integrable quantum field theories* 69-81, and CERN Geneva - TH.-6502 (92/05,rec.Jul.) 15 p. Paris VI U. - PAR-LPTHE-92-17 (92/05,rec.Jul.) 15 p
•
e-Print:
- hep-th/9205065
•
DOI:
- 10.1142/S0217732392003967

Perturbing the ground ring of 2-D string theory

J.L.F. Barbon
(
- CERN and
- Madrid, Autonoma U.
)

- Int.J.Mod.Phys.A 7 (1992) 7579-7596
•
e-Print:
- hep-th/9201064
•
DOI:
- 10.1142/S0217751X92003434

Analytic Fields on Riemann Surfaces. 2

V.G. Knizhnik
(
- Moscow, ITEP
)

- Commun.Math.Phys. 112 (1987) 567-590
•
DOI:
- 10.1007/BF01225373

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