Asymptotic W-symmetries in three-dimensional higher-spin gauge theories - INSPIRE

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Asymptotic W-symmetries in three-dimensional higher-spin gauge theories

Jul, 2011

61 pages

Published in:

JHEP 09 (2011) 113

e-Print:

1107.0290 [hep-th]

DOI:

10.1007/JHEP09(2011)113

Report number:

AEI-2011-041

View in:

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Abstract: (arXiv)

We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of higher-spin gauge theories that can be considered as large N limits of SL(N) x SL(N) Chern-Simons theories, and we provide a closed formula for the structure constants of the resulting infinite-dimensional non-linear W-algebras. Along the way we provide a closed formula for the structure constants of all classical W_N algebras. In both examples the higher-spin generators of the W-algebras are Virasoro primaries. We eventually discuss how to relate our basis to a non-primary quadratic basis that was previously discussed in literature.

Note:

61 pages

Field Theories in Lower Dimensions
Chern-Simons Theories
Conformal and W Symmetry
dimension: 3
spin: high
background: anti-de Sitter
gauge field theory: boson
algebra: W(N)
Chern-Simons term
expansion 1/N

References(84)

Figures(0)

[1]

A Consistent Interacting Massless Higher Spin Field Theory in $D$ = (2+1)

M.P. Blencowe
(
- Imperial Coll., London
)

- Class.Quant.Grav. 6 (1989) 443
•
DOI:
- 10.1088/0264-9381/6/4/005

[2]

Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions

Mikhail A. Vasiliev
(
- Lebedev Inst.
)

- Phys.Lett.B 243 (1990) 378-382,
- Phys. Lett. B243 (1990) 378-382 and Moscow Inst. Phys. Acad. Sci. - 90-029 (90,rec.Jul.) 11 p
•
DOI:
- 10.1016/0370-2693(90)91400-6

[3]

Nonlinear equations for symmetric massless higher spin fields in (A)dS(d)

M.A. Vasiliev
(
- Lebedev Inst.
)

- Phys.Lett.B 567 (2003) 139-151
•
e-Print:
- hep-th/0304049
•
DOI:
- 10.1016/S0370-2693(03)00872-4

[4]

Nonlinear higher spin theories in various dimensions

X. Bekaert
(
- IHES, Bures-sur-Yvette
)
,
S. Cnockaert
(
- Brussels U., PTM and
- Intl. Solvay Inst., Brussels
)
,
Carlo Iazeolla
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
M.A. Vasiliev
(
- Lebedev Inst.
)

•
e-Print:
- hep-th/0503128

[5]

On the Algebraic Structure of Higher-Spin Field Equations and New Exact Solutions

Carlo Iazeolla
(
- Rome U., Tor Vergata
)

e-Print:
- 0807.0406

[6]

Cubic interaction vertices of massive and massless higher spin fields

R.R. Metsaev
(
- Lebedev Inst.
)

- Nucl.Phys.B 759 (2006) 147-201
•
e-Print:
- hep-th/0512342
•
DOI:
- 10.1016/j.nuclphysb.2006.10.002

[7]

General trilinear interaction for arbitrary even higher spin gauge fields

Ruben Manvelyan
(
- Kaiserslautern U. and
- Yerevan Phys. Inst.
)
,
Karapet Mkrtchyan
(
- Kaiserslautern U. and
- Yerevan Phys. Inst.
)
,
Werner Ruhl
(
- Kaiserslautern U.
)

- Nucl.Phys.B 836 (2010) 204-221
•
e-Print:
- 1003.2877
•
DOI:
- 10.1016/j.nuclphysb.2010.04.019

[8]

String Lessons for Higher-Spin Interactions

A. Sagnotti
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
M. Taronna
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)

- Nucl.Phys.B 842 (2011) 299-361
•
e-Print:
- 1006.5242
•
DOI:
- 10.1016/j.nuclphysb.2010.08.019

[9]

How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples

- Rev.Mod.Phys. 84 (2012) 987-1009
•
e-Print:
- 1007.0435
•
DOI:
- 10.1103/RevModPhys.84.987

[10]

The Black hole in three-dimensional space-time

Maximo Banados
(
- CECS, Valdivia and
- Chile U., Santiago
)
,
Claudio Teitelboim
(
)
,
Jorge Zanelli
(
- CECS, Valdivia and
- Chile U., Santiago
)

- Phys.Rev.Lett. 69 (1992) 1849-1851
•
e-Print:
- hep-th/9204099
•
DOI:
- 10.1103/PhysRevLett.69.1849

[11]

Geometry of the (2+1) black hole

Maximo Banados
(
- CECS, Valdivia and
- Chile U., Beauchef and
- Brussels U. and
- Princeton, Inst. Advanced Study
)
,
Marc Henneaux
(
- CECS, Valdivia and
- Brussels U.
)
,
Claudio Teitelboim
(
)
,
Jorge Zanelli
(
- CECS, Valdivia and
- Chile U., Beauchef
)

- Phys.Rev.D 48 (1993) 1506-1525,
- Phys.Rev.D 88 (2013) 069902 (erratum)
•
e-Print:
- gr-qc/9302012
•
DOI:
- 10.1103/PhysRevD.48.1506

[12]

Higher spin gauge interactions for massive matter fields in 3-D AdS space-time

S.F. Prokushkin
(
- Lebedev Inst.
)
,
Mikhail A. Vasiliev
(
- Lebedev Inst.
)

- Nucl.Phys.B 545 (1999) 385
•
e-Print:
- hep-th/9806236
•
DOI:
- 10.1016/S0550-3213(98)00839-6

[13]

Massless higher spins and holography

E. Sezgin
(
- Texas A-M
)
,
P. Sundell
(
- Uppsala U., Inst. Theor. Phys.
)

- Nucl.Phys.B 644 (2002) 303-370,
- Nucl.Phys.B 660 (2003) 403-403 (erratum)
•
e-Print:
- hep-th/0205131
•
DOI:
- 10.1016/S0550-3213(02)00739-3

[14]

Stringy gravity, interacting tensionless strings and massless higher spins

Bo Sundborg
(
- Stockholm U.
)

- Nucl.Phys.B Proc.Suppl. 102 (2001) 113-119,
•
e-Print:
- hep-th/0103247
•
DOI:
- 10.1016/S0920-5632(01)01545-6

[15]

Spacetime Reconstruction, talk at the John Schwarz 60th birthday symposium, November 3

E. Witten

[16]

Notes on higher spin symmetries

Andrei Mikhailov
(
- Santa Barbara, KITP
)

e-Print:
- hep-th/0201019

[17]

AdS dual of the critical O(N) vector model

I.R. Klebanov
(
- Princeton U.
)
,
A.M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 550 (2002) 213-219
•
e-Print:
- hep-th/0210114
•
DOI:
- 10.1016/S0370-2693(02)02980-5

[18]

Higher Spin Gauge Theory and Holography: The Three-Point Functions

- JHEP 09 (2010) 115
•
e-Print:
- 0912.3462
•
DOI:
- 10.1007/JHEP09(2010)115

[19]

Higher Spins in AdS and Twistorial Holography

Simone Giombi
(
- Harvard U.
)
,
Xi Yin
(
- Harvard U., Phys. Dept. and
- Princeton, Inst. Advanced Study
)

- JHEP 04 (2011) 086
•
e-Print:
- 1004.3736
•
DOI:
- 10.1007/JHEP04(2011)086

[20]

On Higher Spin Gauge Theory and the Critical O(N) Model

- Phys.Rev.D 85 (2012) 086005
•
e-Print:
- 1105.4011
•
DOI:
- 10.1103/PhysRevD.85.086005

[21]

$AdS_4/CFT_3$ Construction from Collective Fields

Robert de Mello Koch
(
- Witwatersrand U.
)
,
Antal Jevicki
(
- Brown U.
)
,
Kewang Jin
(
- Brown U.
)
,
Joao P. Rodrigues
(
- Witwatersrand U.
)

- Phys.Rev.D 83 (2011) 025006
•
e-Print:
- 1008.0633
•
DOI:
- 10.1103/PhysRevD.83.025006

[22]

Holographic dual of free field theory

Michael R. Douglas
(
- SUNY, Stony Brook
)
,
Luca Mazzucato
(
- SUNY, Stony Brook
)
,
Shlomo S. Razamat
(
- SUNY, Stony Brook
)

- Phys.Rev.D 83 (2011) 071701
•
e-Print:
- 1011.4926
•
DOI:
- 10.1103/PhysRevD.83.071701

[23]

Effective action in a higher-spin background

Xavier Bekaert
(
- Tours U., CNRS
)
,
Euihun Joung
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Jihad Mourad
(
- APC, Paris
)

- JHEP 02 (2011) 048
•
e-Print:
- 1012.2103
•
DOI:
- 10.1007/JHEP02(2011)048

[24]

Collective Dipole Model of AdS/CFT and Higher Spin Gravity

- J.Phys.A 44 (2011) 465402
•
e-Print:
- 1106.3983
•
DOI:
- 10.1088/1751-8113/44/46/465402

[25]

Nonlinear $W_{infinity}$ as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity

Marc Henneaux
(
)
,
Soo-Jong Rey
(
- Princeton, Inst. Advanced Study and
- Seoul Natl. U.
)

- JHEP 12 (2010) 007
•
e-Print:
- 1008.4579
•
DOI:
- 10.1007/JHEP12(2010)007

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