$L_\infty$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity - INSPIRE

DataBETA

$L_\infty$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity

Yago Cagnacci
(
- Buenos Aires, IAFE
)
,
Tomas Codina
(
- Buenos Aires, IAFE
)
,
Diego Marques
(
- Buenos Aires, IAFE
)

Jul 16, 2018

71 pages

Published in:

JHEP 01 (2019) 117

Published: Jan 14, 2019

e-Print:

1807.06028 [hep-th]

DOI:

10.1007/JHEP01(2019)117

View in:

reference search27 citations

Citations per year

Abstract: (Springer)

We show how the gauge and field structure of the tensor hierarchies in Double and E

_{7(7)}

Exceptional Field Theory fits into L

_{∞}

algebras. Special attention is paid to redefinitions, the role of covariantly constrained fields and intertwiners. The results are connected to Gauged Supergravities through generalized Scherk-Schwarz reductions. We find that certain gauging-dependent parameters generate trivial gauge transformations, giving rise to novel symmetries for symmetries that are absent in their ungauged counterparts.

Note:

71 pages, published in JHEP

Extended Supersymmetry
String Duality
supergravity
exceptional
hierarchy
algebra
deformation

References(101)

Figures(0)

[1]

Homotopy associativity of H-spaces. II

J. Stasheff

- Trans.Am.Math.Soc. 108 (1963) 293

[2]

H-spaces from a hotompy point of view, Lecture Notes in Mathematics, vol. 161 / Verlag

J. Stasheff

[3]

Closed string field theory: Quantum action and the B-V master equation

Barton Zwiebach
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 390 (1993) 33-152
•
e-Print:
- hep-th/9206084
•
DOI:
- 10.1016/0550-3213(93)90388-6

[4]

Introduction to SH Lie algebras for physicists

Tom Lada
(
- North Carolina U.
)
,
Jim Stasheff
(
- North Carolina U.
)

- Int.J.Theor.Phys. 32 (1993) 1087-1104
•
e-Print:
- hep-th/9209099
•
DOI:
- 10.1007/BF00671791

[5]

The sh Lie structure of Poisson brackets in field theory

- Commun.Math.Phys. 191 (1998) 585-601
•
e-Print:
- hep-th/9702176
•
DOI:
- 10.1007/s002200050278

[6]

Wilsonian Effective Action of Superstring Theory

Ashoke Sen
(
- Harish-Chandra Res. Inst. and
- HBNI, Mumbai
)

- JHEP 01 (2017) 108
•
e-Print:
- 1609.00459
•
DOI:
- 10.1007/JHEP01(2017)108

[7]

On the Theoretical Problems in Constructing Interactions Involving Higher Spin Massless Particles

- Nucl.Phys.B 260 (1985) 295-322
•
DOI:
- 10.1016/0550-3213(85)90074-4

[8]

sh-Lie algebras induced by gauge transformations

R. Fulp
(
- NCSU, Raleigh, Dept. Math.
)
,
T. Lada
(
- NCSU, Raleigh, Dept. Math.
)
,
J. Stasheff
(
- North Carolina U.
)

- Commun.Math.Phys. 231 (2002) 25-43
•
DOI:
- 10.1007/s00220-002-0678-3

[9]

Homotopy Lie Superalgebra in Yang-Mills Theory

Anton M. Zeitlin
(
- Yale U., Math. Dept.
)

- JHEP 09 (2007) 068
•
e-Print:
- 0708.1773
•
DOI:
- 10.1088/1126-6708/2007/09/068

[10]

String field theory-inspired algebraic structures in gauge theories

Anton M. Zeitlin
(
- Yale U., Math. Dept.
)

- J.Math.Phys. 50 (2009) 063501
•
e-Print:
- 0711.3843
•
DOI:
- 10.1063/1.3142964

[11]

Conformal Field Theory and Algebraic Structure of Gauge Theory

Anton M. Zeitlin
(
- Yale U., Math. Dept.
)

- JHEP 03 (2010) 056
•
e-Print:
- 0812.1840
•
DOI:
- 10.1007/JHEP03(2010)056

[12]

$L_{\infty}$ Algebras and Field Theory

- Fortsch.Phys. 65 (2017) 3-4, 1700014
•
e-Print:
- 1701.08824
•
DOI:
- 10.1002/prop.201700014

[13]

$\mathcal{W}$ algebras are L $_{∞}$ algebras

- JHEP 07 (2017) 060
•
e-Print:
- 1705.00736
•
DOI:
- 10.1007/JHEP07(2017)060

[14]

On the Structure of Quantum L $_\infty$ algebras

- JHEP 10 (2017) 163
•
e-Print:
- 1706.09034
•
DOI:
- 10.1007/JHEP10(2017)163

[15]

Bootstrapping non-commutative gauge theories from L $_\infty$ algebras

Ralph Blumenhagen
(
- Munich, Max Planck Inst.
)
,
Ilka Brunner
(
- Munich U., ASC
)
,
Vladislav Kupriyanov
(
- Munich, Max Planck Inst. and
- ABC Federal U. and
- Tomsk State U.
)
,
Dieter Lüst
(
- Munich, Max Planck Inst. and
- Munich U., ASC
)

- JHEP 05 (2018) 097
•
e-Print:
- 1803.00732
•
DOI:
- 10.1007/JHEP05(2018)097

[16]

On the Uniqueness of L $_\infty$ bootstrap: Quasi-isomorphisms are Seiberg-Witten Maps

Ralph Blumenhagen
(
- Munich, Max Planck Inst.
)
,
Max Brinkmann
(
- Munich, Max Planck Inst.
)
,
Vladislav Kupriyanov
(
- Munich, Max Planck Inst. and
- ABC Federal U. and
- Tomsk State U.
)
,
Matthias Traube
(
- Munich, Max Planck Inst.
)

- J.Math.Phys. 59 (2018) 12, 123505
•
e-Print:
- 1806.10314
•
DOI:
- 10.1063/1.5048352

[17]

Superspace duality in low-energy superstrings

W. Siegel
(
- SUNY, Stony Brook
)

- Phys.Rev.D 48 (1993) 2826-2837
•
e-Print:
- hep-th/9305073
•
DOI:
- 10.1103/PhysRevD.48.2826

[18]

Two vierbein formalism for string inspired axionic gravity

W. Siegel
(
- SUNY, Stony Brook
)

- Phys.Rev.D 47 (1993) 5453-5459
•
e-Print:
- hep-th/9302036
•
DOI:
- 10.1103/PhysRevD.47.5453

[19]

Double Field Theory

Chris Hull
(
- Imperial Coll., London
)
,
Barton Zwiebach
(
- MIT, LNS
)

- JHEP 09 (2009) 099
•
e-Print:
- 0904.4664
•
DOI:
- 10.1088/1126-6708/2009/09/099

[20]

Courant Algebroids and Strongly Homotopy Lie Algebras

e-Print:
- math/9802118

[21]

The Gauge algebra of double field theory and Courant brackets

Chris Hull
(
- Imperial Coll., London
)
,
Barton Zwiebach
(
- MIT, LNS
)

- JHEP 09 (2009) 090
•
e-Print:
- 0908.1792
•
DOI:
- 10.1088/1126-6708/2009/09/090

[22]

Extended Riemannian Geometry I: Local Double Field Theory

Andreas Deser
(
- Hannover U. and
- INFN, Turin
)
,
Christian Sämann
(
)

[23]

Extended Riemannian Geometry II: Local Heterotic Double Field Theory

Andreas Deser
(
- INFN, Turin
)
,
Marc Andre Heller
(
- Tohoku U.
)
,
Christian Sämann
(
- Maxwell Inst. Math. Sci., Edinburgh
)

- JHEP 04 (2018) 106
•
e-Print:
- 1711.03308
•
DOI:
- 10.1007/JHEP04(2018)106

[24]

Gauged Supergravities, Tensor Hierarchies, and M-Theory

- JHEP 02 (2008) 044
•
e-Print:
- 0801.1294
•
DOI:
- 10.1088/1126-6708/2008/02/044

[25]

Leibniz algebroids, twistings and exceptional generalized geometry

David Baraglia
(
- Australian Natl. U., Canberra
)

- J.Geom.Phys. 62 (2012) 903-934
•
e-Print:
- 1101.0856
•
DOI:
- 10.1016/j.geomphys.2012.01.007

1-25 of 101
1
2
3
4
5
25 / page