Metric- and frame-like higher-spin gauge theories in three dimensions - INSPIRE

DataBETA

Metric- and frame-like higher-spin gauge theories in three dimensions

Aug 12, 2014

30 pages

Published in:

J.Phys.A 48 (2015) 3, 035402

Published: Dec 29, 2014

e-Print:

1408.2712 [hep-th]

DOI:

10.1088/1751-8113/48/3/035402

Report number:

AEI-2014-036

View in:

reference search29 citations

Citations per year

Abstract: (IOP)

We study the relation between the frame-like and metric-like formulation of higher-spin gauge theories in three space–time dimensions. We concentrate on the theory that is described by an

SL(3)\times SL(3)

Chern–Simons theory in the frame-like formulation. The metric-like theory is obtained by eliminating the generalized spin connection by its equation of motion, and by expressing everything in terms of the metric and a spin-3 Fronsdal field. We give an exact map between fields and gauge parameters in both formulations. To work out the gauge transformations explicitly in terms of metric-like variables, we have to make a perturbative expansion in the spin-3 field. We describe an algorithm for how to do this systematically, and we work out the gauge transformations to cubic order in the spin-3 field. We use these results to determine the gauge algebra to this order, and explain why the commutator of two spin-3 transformations only closes on-shell.

Note:

26 pages, no figures

gauge theory
higher-spin field theory
Chern–Simons theory
low-dimensional field theory
transformation: gauge
algebra: gauge
space-time: dimension: 3
gauge field theory
SL(3)
commutation relations

References(43)

Figures(0)

[1]

The Higher Spin/Vector Model Duality

- J.Phys.A 46 (2013) 214003
•
e-Print:
- 1208.4036
•
DOI:
- 10.1088/1751-8113/46/21/214003

[2]

Minimal Model Holography

- J.Phys.A 46 (2013) 214002
•
e-Print:
- 1207.6697
•
DOI:
- 10.1088/1751-8113/46/21/214002

[3]

'GAUGE' FORM OF DESCRIPTION OF MASSLESS FIELDS WITH ARBITRARY SPIN. (IN RUSSIAN)

Mikhail A. Vasiliev
(
- Lebedev Inst.
)

- Yad.Fiz. 32 (1980) 855-861,
- Sov.J.Nucl.Phys. 32 (1980) 439

[4]

Massless Fields with Integer Spin

Christian Fronsdal
(
- UCLA
)

- Phys.Rev.D 18 (1978) 3624
•
DOI:
- 10.1103/PhysRevD.18.3624

[5]

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

[6]

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

[7]

Cubic Interaction Terms for Arbitrary Spin

Anders K.H. Bengtsson
(
- Goteborg, ITP
)
,
Ingemar Bengtsson
(
- Goteborg, ITP
)
,
Lars Brink
(
- Goteborg, ITP
)

- Nucl.Phys.B 227 (1983) 31-40
•
DOI:
- 10.1016/0550-3213(83)90140-2

[8]

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

[9]

Constructing the cubic interaction vertex of higher spin gauge fields

I.L. Buchbinder
(
- Tomsk Pedagogical Inst.
)
,
Angelos Fotopoulos
(
- Crete U. and
- Turin U.
)
,
Anastasios C. Petkou
(
- Crete U.
)
,
Mirian Tsulaia
(
- Crete U.
)

- Phys.Rev.D 74 (2006) 105018
•
e-Print:
- hep-th/0609082
•
DOI:
- 10.1103/PhysRevD.74.105018

[10]

Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex

Angelos Fotopoulos
(
- Turin U. and
- INFN, Turin
)
,
Nikos Irges
(
- Crete U.
)
,
Anastasios C. Petkou
(
- Crete U.
)
,
Mirian Tsulaia
(
- Crete U.
)

- JHEP 10 (2007) 021
•
e-Print:
- 0708.1399
•
DOI:
- 10.1088/1126-6708/2007/10/021

[11]

Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex

- J.Phys.A 43 (2010) 185401
•
e-Print:
- 1002.0289
•
DOI:
- 10.1088/1751-8113/43/18/185401

Metric- and frame-like higher-spin gauge theories in three dimensions

- J.Phys.A 48 (2015) 3, 035402
•
e-Print:
- 1408.2712
•
DOI:
- 10.1088/1751-8113/48/3/035402

[12]

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

[13]

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

[14]

On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations

A. Fotopoulos
(
- Turin U. and
- INFN, Turin
)
,
Mirian Tsulaia
(
- Liverpool U., Dept. Math. and
- Massey U., Albany
)

- JHEP 11 (2010) 086
•
e-Print:
- 1009.0727
•
DOI:
- 10.1007/JHEP11(2010)086

[15]

Cubic interactions of massless higher spins in (A)dS: metric-like approach

Euihun Joung
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Massimo Taronna
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)

- Nucl.Phys.B 861 (2012) 145-174
•
e-Print:
- 1110.5918
•
DOI:
- 10.1016/j.nuclphysb.2012.03.013

[16]

Solving the Noether procedure for cubic interactions of higher spins in (A)dS

Euihun Joung
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Luca Lopez
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Massimo Taronna
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)

- J.Phys.A 46 (2013) 214020
•
e-Print:
- 1207.5520
•
DOI:
- 10.1088/1751-8113/46/21/214020

[17]

Generating functions of (partially-)massless higher-spin cubic interactions

Euihun Joung
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Luca Lopez
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Massimo Taronna
(
)

- JHEP 01 (2013) 168
•
e-Print:
- 1211.5912
•
DOI:
- 10.1007/JHEP01(2013)168

[18]

Cubic-interaction-induced deformations of higher-spin symmetries

Euihun Joung
(
- APC, Paris
)
,
Massimo Taronna
(
- Potsdam, Max Planck Inst.
)

- JHEP 03 (2014) 103
•
e-Print:
- 1311.0242
•
DOI:
- 10.1007/JHEP03(2014)103

[19]

Higher Spin Black Holes

Michael Gutperle
(
- UCLA
)
,
Per Kraus
(
- UCLA
)

- JHEP 05 (2011) 022
•
e-Print:
- 1103.4304
•
DOI:
- 10.1007/JHEP05(2011)022

[20]

Spacetime Geometry in Higher Spin Gravity

- JHEP 10 (2011) 053
•
e-Print:
- 1106.4788
•
DOI:
- 10.1007/JHEP10(2011)053

[21]

Black Holes and Singularity Resolution in Higher Spin Gravity

- JHEP 01 (2012) 031
•
e-Print:
- 1110.4117
•
DOI:
- 10.1007/JHEP01(2012)031

[22]

The Action for higher spin black holes in three dimensions

Maximo Banados
(
- Chile U., Catolica
)
,
Rodrigo Canto
(
- Chile U., Catolica
)
,
Stefan Theisen
(
- Heidelberg U.
)

- JHEP 07 (2012) 147
•
e-Print:
- 1204.5105
•
DOI:
- 10.1007/JHEP07(2012)147

[23]

Generalized Black Holes in Three-dimensional Spacetime

Claudio Bunster
(
- CECS, Valdivia and
- Andres Bello Natl. U.
)
,
Marc Henneaux
(
- CECS, Valdivia and
- Brussels U. and
- Intl. Solvay Inst., Brussels
)
,
Alfredo Perez
(
- CECS, Valdivia
)
,
David Tempo
(
- CECS, Valdivia
)
,
Ricardo Troncoso
(
- CECS, Valdivia and
- Andres Bello Natl. U.
)

- JHEP 05 (2014) 031
•
e-Print:
- 1404.3305
•
DOI:
- 10.1007/JHEP05(2014)031

[24]

Towards metric-like higher-spin gauge theories in three dimensions

- J.Phys.A 46 (2013) 214017
•
e-Print:
- 1208.1851
•
DOI:
- 10.1088/1751-8113/46/21/214017

1-25 of 43
1
2
25 / page