Noether-Wald charge in supergravity: the fermionic contribution - INSPIRE

DataBETA

Noether-Wald charge in supergravity: the fermionic contribution

Igor Bandos
(
- Basque U., Bilbao and
- IKERBASQUE, Bilbao
)
,
Tomas Ortin
(
- Madrid, IFT
)

May 17, 2023

Published in:

JHEP 12 (2023) 095

Published: Dec 14, 2023

e-Print:

2305.10617 [hep-th]

DOI:

10.1007/JHEP12(2023)095

Report number:

IFT-UAM/CSIC-23-013

View in:

ADS Abstract Service

reference search6 citations

Citations per year

Abstract: (Springer)

We study the invariance of

\mathcal{N}

= 1, d = 4 supergravity solutions under diffeormophisms and show that, in order to obtain consistent conditions (“Killing equations”) invariant under local supersymmetry transformations, one has to perform supersymmetry transformations generated by the superpartner of the vector that generates standard diffeomorphisms, just as a superspace analysis indicates. Using these transformations, we construct a Noether-Wald charge of

\mathcal{N}

= 1, d = 4 supergravity with fermionic contributions which is diff- Lorentz- and supersymmetry-invariant (up to a total derivative).

Note:

Title changed to represent betterthe content. References added

Supergravity Models
Superspaces
Classical Theories of Gravity
supergravity: 4
supersymmetry: transformation
supersymmetry: local
supergravity: solution
sparticle
diffeomorphism
superspace

References(49)

Figures(0)

[1]

Covariant theory of asymptotic symmetries, conservation laws and central charges

- Nucl.Phys.B 633 (2002) 3-82
•
e-Print:
- hep-th/0111246
•
DOI:
- 10.1016/S0550-3213(02)00251-1

[2]

Boundary charges in gauge theories: Using Stokes theorem in the bulk

Glenn Barnich
(
- Brussels U.
)

- Class.Quant.Grav. 20 (2003) 3685-3698
•
e-Print:
- hep-th/0301039
•
DOI:
- 10.1088/0264-9381/20/16/310

Local symmetries and constraints

J. Lee
(
- Chicago U., EFI
)
,
Robert M. Wald
(
- Chicago U., EFI
)

- J.Math.Phys. 31 (1990) 725-743
•
DOI:
- 10.1063/1.528801

Black hole entropy is the Noether charge

Robert M. Wald
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Rev.D 48 (1993) 8, R3427-R3431
•
e-Print:
- gr-qc/9307038
•
DOI:
- 10.1103/PhysRevD.48.R3427

Some properties of Noether charge and a proposal for dynamical black hole entropy

Vivek Iyer
(
- Chicago U., EFI and
- Chicago U.
)
,
Robert M. Wald
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Rev.D 50 (1994) 846-864
•
e-Print:
- gr-qc/9403028
•
DOI:
- 10.1103/PhysRevD.50.846

[6]

Symmetries in Gauge Theories

P.G. Bergmann
(
- Syracuse U.
)
,
E.J. Flaherty
(
- Syracuse U.
)

- J.Math.Phys. 19 (1978) 212-214
•
DOI:
- 10.1063/1.523540

[7]

Spineurs harmoniques

A. Lichnerowicz

- Compt.Rend.Hebd.Seances Acad.Sci. 257 (1963) 7

[8]

Dérivée de Lie de spineur, C. R. Acad

Y. Kosmann

[9]

Dérivées de Lie des spineurs

Y. Kosmann

- Annali Mat.Pura Appl. 91 (1972) 317
•
DOI:
- 10.1007/BF02428822

[10]

A Note on Lie-Lorentz derivatives

Tomas Ortin
(
- Madrid, Autonoma U. and
- Madrid, IMAFF
)

- Class.Quant.Grav. 19 (2002) L143-L150
•
e-Print:
- hep-th/0206159
•
DOI:
- 10.1088/0264-9381/19/15/101

The First Law of Black Hole Mechanics for Fields with Internal Gauge Freedom

Kartik Prabhu
(
- Chicago U.
)

- Class.Quant.Grav. 34 (2017) 3, 035011
•
e-Print:
- 1511.00388
•
DOI:
- 10.1088/1361-6382/aa536b

[12]

The first law of black hole mechanics in the Einstein-Maxwell theory revisited

Zachary Elgood
(
- Madrid, IFT
)
,
Patrick Meessen
(
- Oviedo U. and
- ICTEA, Oviedo
)
,
Tomás Ortín
(
- Madrid, IFT
)

- JHEP 09 (2020) 026
•
e-Print:
- 2006.02792
•
DOI:
- 10.1007/JHEP09(2020)026

[13]

The first law of heterotic stringy black hole mechanics at zeroth order in α′

- JHEP 07 (2021) 007
•
e-Print:
- 2012.13323
•
DOI:
- 10.1007/JHEP07(2021)007

[14]

The first law and Wald entropy formula of heterotic stringy black holes at first order in $\alpha'$

- JHEP 05 (2021) 110
•
e-Print:
- 2012.14892
•
DOI:
- 10.1007/JHEP05(2021)110

The First law of black hole physics for a class of nonlinear matter models

- Class.Quant.Grav. 10 (1993) 1299-1322
•
DOI:
- 10.1088/0264-9381/10/7/008

[16]

ON THE PROBLEM OF SPACE-TIME SYMMETRIES IN THE THEORY OF SUPERGRAVITY

M.A.J. Vandyck
(
- Dublin Inst.
)

- Gen.Rel.Grav. 20 (1988) 261-277
•
DOI:
- 10.1007/BF00759185

[17]

ON THE PROBLEM OF SPACE-TIME SYMMETRIES IN THE THEORY OF SUPERGRAVITY. 2: N=2 SUPERGRAVITY AND SPINORIAL LIE DERIVATIVES

M.A. Vandyck
(
- Dublin Inst.
)

- Gen.Rel.Grav. 20 (1988) 905-925
•
DOI:
- 10.1007/BF00760090

First law of black hole mechanics with fermions

P.B. Aneesh
(
- Chennai Math. Inst.
)
,
Sumanta Chakraborty
(
- IACS, Kolkata
)
,
Sk Jahanur Hoque
(
- Chennai Math. Inst. and
- Charles U., Inst. Theor. Phys.
)
,
Amitabh Virmani
(
- Chennai Math. Inst.
)

- Class.Quant.Grav. 37 (2020) 20, 205014
•
e-Print:
- 2004.10215
•
DOI:
- 10.1088/1361-6382/aba5ab

[19]

Ideas and methods of supersymmetry and supergravity: A Walk through superspace

I.L. Buchbinder
,
S.M. Kuzenko

[20]

Symmetries of curved superspace

Sergei M. Kuzenko
(
- Western Australia U.
)

- JHEP 03 (2013) 024
•
e-Print:
- 1212.6179
•
DOI:
- 10.1007/JHEP03(2013)024

Supersymmetric Spacetimes from Curved Superspace

Sergei M. Kuzenko
(
- Western Australia U.
)

- PoS CORFU2014 (2015) 140
•
e-Print:
- 1504.08114
•
DOI:
- 10.22323/1.231.0140

[22]

Notes on Super Killing Tensors

P.S. Howe
(
- King's Coll. London
)
,
U. Lindström
(
- Uppsala U. and
- Imperial Coll., London
)

- JHEP 03 (2016) 078
•
e-Print:
- 1511.04575
•
DOI:
- 10.1007/JHEP03(2016)078

[23]

Some remarks on (super)-conformal Killing-Yano tensors

Paul S. Howe
(
- King's Coll. London, Dept. Math
)
,
Ulf Lindström
(
- Uppsala U. and
- Imperial Coll., London
)

- JHEP 11 (2018) 049
•
e-Print:
- 1808.00583
•
DOI:
- 10.1007/JHEP11(2018)049

[24]

Symmetries of supergravity backgrounds and supersymmetric field theory

- JHEP 04 (2020) 133
•
e-Print:
- 1912.08552
•
DOI:
- 10.1007/JHEP04(2020)133

[25]

Superspaces for heterotic pure spinor string compactifications

- Eur.Phys.J.C 82 (2022) 11, 991
•
e-Print:
- 2205.01765
•
DOI:
- 10.1140/epjc/s10052-022-10947-0

1-25 of 49
1
2
25 / page