Higher-Spin Flat Space Cosmologies with Soft Hair - INSPIRE

DataBETA

Higher-Spin Flat Space Cosmologies with Soft Hair

Martin Ammon
(
- Jena U., TPI
)
,
Daniel Grumiller
(
- ABC Federal U. and
- Vienna, Tech. U.
)
,
Stefan Prohazka
(
- Vienna, Tech. U.
)
,
Max Riegler
(
- Brussels U.
)
,
Raphaela Wutte
(
- Vienna, Tech. U.
)

Mar 7, 2017

22 pages

Published in:

JHEP 05 (2017) 031

Published: May 8, 2017

e-Print:

1703.02594 [hep-th]

DOI:

10.1007/JHEP05(2017)031 (publication)

Report number:

TUW--17--01

View in:

reference search41 citations

Citations per year

Abstract: (Springer)

We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions independently of the charges. The asymptotic symmetry algebra is given by a set of

\widehat{\mathfrak{u}}(1)

current algebras. The associated charges generate higher-spin soft hair. We derive the entropy for solutions that are continuously connected to flat space cosmologies and find the same result as in the spin-2 case: the entropy is linear in the spin-2 zero-mode charges and independent from the spin-3 charges. Using twisted Sugawara-like constructions of higher-spin currents we show that our simple result for entropy of higherspin flat space cosmologies coincides precisely with the complicated earlier results expressed in terms of higher-spin zero mode charges.

Note:

22 pages, A Mathematica workbook on ihs[$\lambda$] is included as an ancilliary file; v2: corrected minor misprints; v3: fixed minor issues with the display of some references

Chern-Simons Theories
Higher Spin Gravity
Higher Spin Symmetry
symmetry: algebra
dimension: 3
cosmological model
entropy
boundary condition
zero mode
hair

References(60)

Figures(0)

[1]

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

[2]

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

[3]

The Higher Spin/Vector Model Duality

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

[4]

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

[5]

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

[6]

Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

- JHEP 11 (2010) 007
•
e-Print:
- 1008.4744
•
DOI:
- 10.1007/JHEP11(2010)007

[7]

Symmetries of Holographic Minimal Models

- JHEP 05 (2011) 031
•
e-Print:
- 1101.2910
•
DOI:
- 10.1007/JHEP05(2011)031

[8]

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

- JHEP 09 (2011) 113
•
e-Print:
- 1107.0290
•
DOI:
- 10.1007/JHEP09(2011)113

[9]

An AdS $_{3}$ Dual for Minimal Model CFTs

- Phys.Rev.D 83 (2011) 066007
•
e-Print:
- 1011.2986
•
DOI:
- 10.1103/PhysRevD.83.066007

[10]

Minimal Model Holography

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

[11]

Higher Spin Black Holes

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

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

[12]

Black Holes and Singularity Resolution in Higher Spin Gravity

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

[13]

Black holes in three dimensional higher spin gravity: A review

- J.Phys.A 46 (2013) 214001
•
e-Print:
- 1208.5182
•
DOI:
- 10.1088/1751-8113/46/21/214001

[14]

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

[15]

Towards non-AdS holography in 3-dimensional higher spin gravity

Mirah Gary
(
- Vienna, Tech. U.
)
,
Daniel Grumiller
(
- Vienna, Tech. U.
)
,
Radoslav Rashkov
(
- Vienna, Tech. U.
)

- JHEP 03 (2012) 022
•
e-Print:
- 1201.0013
•
DOI:
- 10.1007/JHEP03(2012)022

[16]

Lifshitz black holes in higher spin gravity

- JHEP 04 (2014) 020
•
e-Print:
- 1310.0837
•
DOI:
- 10.1007/JHEP04(2014)020

[17]

Three-dimensional Spin-3 Theories Based on General Kinematical Algebras

Eric Bergshoeff
(
- U. Groningen, VSI
)
,
Daniel Grumiller
(
- Vienna, Tech. U.
)
,
Stefan Prohazka
(
- Vienna, Tech. U.
)
,
Jan Rosseel
(
- U. Bern, AEC and
- Vienna, Tech. U.
)

- JHEP 01 (2017) 114
•
e-Print:
- 1612.02277
•
DOI:
- 10.1007/JHEP01(2017)114

[18]

Wilson Lines and Entanglement Entropy in Higher Spin Gravity

Martin Ammon
(
- Jena U., TPI and
- UCLA
)
,
Alejandra Castro
(
- Harvard U.
)
,
Nabil Iqbal
(
- Santa Barbara, KITP
)

- JHEP 10 (2013) 110
•
e-Print:
- 1306.4338
•
DOI:
- 10.1007/JHEP10(2013)110

[19]

Entanglement Entropy and Higher Spin Holography in AdS $_3$

Jan de Boer
(
- Amsterdam U.
)
,
Juan I. Jottar
(
- Amsterdam U.
)

- JHEP 04 (2014) 089
•
e-Print:
- 1306.4347
•
DOI:
- 10.1007/JHEP04(2014)089

[20]

Spin-3 Gravity in Three-Dimensional Flat Space

Hamid Afshar
(
- Vienna, Tech. U.
)
,
Arjun Bagchi
(
- Edinburgh U., Sch. Math. and
- IISER, Pune
)
,
Reza Fareghbal
(
- Vienna, Tech. U. and
- IPM, Tehran
)
,
Daniel Grumiller
(
- Vienna, Tech. U.
)
,
Jan Rosseel
(
- Vienna, Tech. U.
)

- Phys.Rev.Lett. 111 (2013) 12, 121603
•
e-Print:
- 1307.4768
•
DOI:
- 10.1103/PhysRevLett.111.121603

[21]

Asymptotically flat spacetimes in three-dimensional higher spin gravity

Hernan A. Gonzalez
(
- Andres Bello Natl. U. and
- Chile U., Catolica
)
,
Javier Matulich
(
- Concepcion U. and
- CECS, Valdivia
)
,
Miguel Pino
(
- Chile U., Santiago
)
,
Ricardo Troncoso
(
- CECS, Valdivia and
- Andres Bello Natl. U.
)

- JHEP 09 (2013) 016
•
e-Print:
- 1307.5651
•
DOI:
- 10.1007/JHEP09(2013)016

[22]

Soft Hair on Black Holes

Stephen W. Hawking
(
- Cambridge U. and
- Cambridge U., DAMTP
)
,
Malcolm J. Perry
(
- Cambridge U. and
- Cambridge U., DAMTP
)
,
Andrew Strominger
(
- Harvard U., Phys. Dept.
)

- Phys.Rev.Lett. 116 (2016) 23, 231301
•
e-Print:
- 1601.00921
•
DOI:
- 10.1103/PhysRevLett.116.231301

[23]

Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity

J.David Brown
(
- Texas U.
)
,
M. Henneaux
(
- Texas U.
)

- Commun.Math.Phys. 104 (1986) 207-226,
- Commun. Math. Phys. 104 ( 1986) 207-226
•
DOI:
- 10.1007/BF01211590

[24]

Supertranslations and Superrotations at the Black Hole Horizon

Laura Donnay
(
- Brussels U., PTM and
- Intl. Solvay Inst., Brussels
)
,
Gaston Giribet
(
- Brussels U., PTM and
- Intl. Solvay Inst., Brussels
)
,
Hernan A. Gonzalez
(
- Brussels U., PTM and
- Intl. Solvay Inst., Brussels
)
,
Miguel Pino
(
- Chile U., Santiago
)

- Phys.Rev.Lett. 116 (2016) 9, 091101
•
e-Print:
- 1511.08687
•
DOI:
- 10.1103/PhysRevLett.116.091101

[25]

Near-Horizon Geometry and Warped Conformal Symmetry

Hamid Afshar
(
- U. Groningen, VSI and
- IPM, Tehran
)
,
Stéphane Detournay
(
- Brussels U., PTM and
- Intl. Solvay Inst., Brussels
)
,
Daniel Grumiller
,
Blagoje Oblak
(
)

- JHEP 03 (2016) 187
•
e-Print:
- 1512.08233
•
DOI:
- 10.1007/JHEP03(2016)187

1-25 of 60
1
2
3
25 / page