IIB supergravity and the E6(6) covariant vector-tensor hierarchy

Ciceri, Franz; de Wit, Bernard; Varela, Oscar

doi:10.1007/JHEP04(2015)094

Title: IIB supergravity and the E₆₍₆₎ covariant vector-tensor hierarchy

Abstract

IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional ‘dual graviton’. The invariant E₆₍₆₎ symmetric tensor that appears in the vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the vector fields, as well as consistent expressions for the USp(8) covariant fermion fields. Implications are further discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.

Authors:

Ciceri, Franz ^[1]; de Wit, Bernard ^[2]; Varela, Oscar ^[3]

Dutch National Inst. for Subatomic Physics (Nikhef), Amsterdam (Netherlands). Nikhef Theory Group
Dutch National Inst. for Subatomic Physics (Nikhef), Amsterdam (Netherlands). Nikhef Theory Group; Univ. of Utrecht (Netherlands). Inst. for Theoretical Physics
Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature

Publication Date:: Mon Apr 20 00:00:00 EDT 2015

Research Org.:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); European Research Council (ERC)

OSTI Identifier:: 1454550

Grant/Contract Number:: SC0007870; 246974

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 4; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetry and Duality; Extended Supersymmetry; Supergravity Models

Citation Formats


                    Ciceri, Franz, de Wit, Bernard, and Varela, Oscar. IIB supergravity and the E6(6) covariant vector-tensor hierarchy.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP04(2015)094.

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                    Ciceri, Franz, de Wit, Bernard, & Varela, Oscar. IIB supergravity and the E6(6) covariant vector-tensor hierarchy.  United States.  https://doi.org/10.1007/JHEP04(2015)094

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                    Ciceri, Franz, de Wit, Bernard, and Varela, Oscar. Mon .  
"IIB supergravity and the E6(6) covariant vector-tensor hierarchy".  United States.  https://doi.org/10.1007/JHEP04(2015)094.  https://www.osti.gov/servlets/purl/1454550.

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@article{osti_1454550,

  title        = {IIB supergravity and the E6(6) covariant vector-tensor hierarchy},

  author       = {Ciceri, Franz and de Wit, Bernard and Varela, Oscar},

  abstractNote = {IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional ‘dual graviton’. The invariant E6(6) symmetric tensor that appears in the vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the vector fields, as well as consistent expressions for the USp(8) covariant fermion fields. Implications are further discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.},

  doi          = {10.1007/JHEP04(2015)094},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 4,

  volume       = 2015,

  place        = {United States},

  year         = {Mon Apr 20 00:00:00 EDT 2015},

  month        = {Mon Apr 20 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referencing / citing this record:

Spheres, Generalised Parallelisability and Consistent Truncations: Spheres, Generalised Parallelisability and Consistent Truncations
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Title: IIB supergravity and the E6(6) covariant vector-tensor hierarchy

Abstract

Citation Formats

On the relation between d = 4 and d = 11 supergravity journal, August 1984

The SO(8) supergravity journal, November 1979

Consistent Kaluza-Klein truncations via exceptional field theory journal, January 2015

Covariant actions for the bosonic sector of IIB supergravity journal, December 1997

Generalized Calabi-Yau Manifolds journal, September 2003

Generalised geometry for M-theory journal, July 2007

supersymmetric RG flows and the IIB dilaton journal, January 2001

Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems journal, May 2005

Duality in gravity and higher spin gauge fields journal, September 2001

Compact and non-compact gauged supergravity theories in five dimensions journal, August 1986

Generalized gauge fields journal, December 1985

Duality invariant actions and generalised geometry journal, February 2012

The consistency of the S7 truncation in d=11 supergravity journal, January 1987

The spectrum of the S 5 compactification of the chiral N=2, D=10 supergravity and the unitary supermultiplets of U(2,2/4) journal, March 1985

Supergravity as generalised geometry I: type II theories journal, November 2011

Generalized E 7(7) coset dynamics and D = 11 supergravity journal, March 2009

The complete N =2, d = 10 supergravity journal, May 1984

The embedding of gauged N = 8 supergravity into d = 11 supergravity journal, January 1985

Consistent truncation of d = 11 supergravity on AdS 4 × S 7 journal, March 2012

Generalized geometry and M theory journal, June 2011

Covariant field equations of chiral N = 2 D = 10 supergravity journal, October 1983

Generalised geometry from the ground up journal, February 2014

N = 8 supergravity journal, November 1982

Symmetries and transformations of chiral N = 2, D = 10 supergravity journal, July 1983

Double field theory journal, September 2009

d = 11 supergravity with local SU(8) invariance journal, September 1986

E 11 and M theory journal, October 2001

E 10 and a Small Tension Expansion of M Theory journal, November 2002

Exceptional Form of D = 11 Supergravity journal, December 2013

K ( E 10 ), supergravity and fermions journal, August 2006

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Title: IIB supergravity and the E₆₍₆₎ covariant vector-tensor hierarchy

On the relation between d = 4 and d = 11 supergravity
journal, August 1984

The SO(8) supergravity
journal, November 1979

Consistent Kaluza-Klein truncations via exceptional field theory
journal, January 2015

Covariant actions for the bosonic sector of IIB supergravity
journal, December 1997

Generalized Calabi-Yau Manifolds
journal, September 2003

Generalised geometry for M-theory
journal, July 2007

supersymmetric RG flows and the IIB dilaton
journal, January 2001

Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
journal, May 2005

Duality in gravity and higher spin gauge fields
journal, September 2001

Compact and non-compact gauged supergravity theories in five dimensions
journal, August 1986

Generalized gauge fields
journal, December 1985

Duality invariant actions and generalised geometry
journal, February 2012

The consistency of the S7 truncation in d=11 supergravity
journal, January 1987

The spectrum of the S ⁵ compactification of the chiral N=2, D=10 supergravity and the unitary supermultiplets of U(2,2/4)
journal, March 1985

Supergravity as generalised geometry I: type II theories
journal, November 2011

Generalized E ₇₍₇₎ coset dynamics and D = 11 supergravity
journal, March 2009

The complete N =2, d = 10 supergravity
journal, May 1984

The embedding of gauged N = 8 supergravity into d = 11 supergravity
journal, January 1985

Consistent truncation of d = 11 supergravity on AdS 4 × S 7
journal, March 2012

Generalized geometry and M theory
journal, June 2011

Covariant field equations of chiral N = 2 D = 10 supergravity
journal, October 1983

Generalised geometry from the ground up
journal, February 2014

N = 8 supergravity
journal, November 1982

Symmetries and transformations of chiral N = 2, D = 10 supergravity
journal, July 1983

Double field theory
journal, September 2009

d = 11 supergravity with local SU(8) invariance
journal, September 1986

E ₁₁ and M theory
journal, October 2001

$E_{10}$ and a Small Tension Expansion of M Theory
journal, November 2002

Exceptional Form of $D = 11$ Supergravity
journal, December 2013

K ( E ₁₀ ), supergravity and fermions
journal, August 2006

The maximal supergravities
journal, June 2005

Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions
journal, May 2013

Generalised geometry, eleven dimensions and E11
journal, February 2012

Spheres, Generalised Parallelisability and Consistent Truncations: Spheres, Generalised Parallelisability and Consistent Truncations
journal, July 2017

Half-Maximal Supersymmetry from Exceptional Field Theory: Half-Maximal Supersymmetry from Exceptional Field Theory
journal, October 2017

The 10d uplift of the GPPZ solution
journal, July 2018

Generalised Scherk-Schwarz reductions from gauged supergravity
journal, December 2017

Generalised Scherk-Schwarz reductions from gauged supergravity
text, January 2017

The 10d Uplift of the GPPZ Solution
text, January 2018

Systematics of consistent truncations from generalised geometry
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