Fetching the paper…

Reading the bibliography…

From Exceptional Field Theory to Heterotic Double Field Theory via K3 · Around

2016

From Exceptional Field Theory to Heterotic Double Field Theory via K3

Malek, Emanuel

Original
PDF
Post on X

Understand

In this paper we show how to obtain the heterotic double field theory from exceptional field theory by breaking half of the supersymmetry.

We focus on the $\mathrm{SL}(5)$ exceptional field theory and show that when the extended space contains a generalised $\mathrm{SU}(2)$-structure manifold one can define a reduction to obtain the heterotic $\mathrm{SO}(3,n)$ double field theory.
In this picture, the reduction on the $\mathrm{SU}(2)$-structure breaks half of the supersymmetry of the exceptional field theory and the gauge group of the heterotic double field theory is given by the embedding tensor of the reduction used.
Finally, we study the example of a consistent truncation of M-theory on K3 and recover the duality with the heterotic string on $T^3$.

Built on

G. Aldazabal, D. Marqués, and C. Núñez, Double Field Theory: A Pedagogical Review
Original
1907
Earlier work this paper cites.
M. Duff, Duality rotations in string theory
1990
Earlier work this paper cites.
M. Duff and J. Lu, Duality Rotations in Membrane Theory
1990
Earlier work this paper cites.
A. A. Tseytlin, Duality symmetric formulation of string world sheet dynamics
1990
Earlier work this paper cites.
A. A. Tseytlin, Duality and dilaton
1991
Earlier work this paper cites.
W. Siegel, Superspace duality in low-energy superstrings
1993
Earlier work this paper cites.
W. Siegel, Two vierbein formalism for string inspired axionic gravity
1993
Earlier work this paper cites.
Oxford University Press, 2000
D. D. Joyce, Compact Manifolds with Special Holonomy · 2000
Earlier work this paper cites.
C. Hull, Generalised Geometry for M-Theory
2007
Earlier work this paper cites.
C. M. Hull, Doubled Geometry and T-Folds
2007
Earlier work this paper cites.
C. Hull and B. Zwiebach, Double Field Theory
Original
2009
Earlier work this paper cites.
C. Hull and B. Zwiebach, The Gauge algebra of double field theory and Courant brackets
Original
2009
Earlier work this paper cites.
O. Hohm, C. Hull, and B. Zwiebach, Generalized metric formulation of double field theory
Original
2010
Earlier work this paper cites.
D. S. Berman and M. J. Perry, Generalized Geometry and M theory
Original
2011
Earlier work this paper cites.
A. Coimbra, C. Strickland-Constable, and D. Waldram, Supergravity as Generalised Geometry I: Type II Theories
Original
2011
Earlier work this paper cites.
O. Hohm and S. K. Kwak, Double Field Theory Formulation of Heterotic Strings
Original
2011
Earlier work this paper cites.
O. Hohm and S. K. Kwak, Frame-like Geometry of Double Field Theory
Original
2011
Earlier work this paper cites.

Similar

G. Aldazabal, W. Baron, D. Marqués, and C. Núñez, The effective action of Double Field Theory
Original
2011
Cited alongside, same era.
D. Geissbühler, Double Field Theory and N=4 Gauged Supergravity
Original
2011
Cited alongside, same era.
D. S. Berman, H. Godazgar, and M. J. Perry, SO(5,5) duality in M-theory and generalized geometry
Original
2011
Cited alongside, same era.
D. S. Berman, H. Godazgar, M. Godazgar, and M. J. Perry, The Local symmetries of M-theory and their formulation in generalised geometry
Original
2012
Cited alongside, same era.
M. Graña and D. Marqués, Gauged Double Field Theory
Original

Then

D. S. Berman, C. D. A. Blair, E. Malek, and M. J. Perry, The O D , D O_{D,D} geometry of string theory
Original
2014
Later among the works it cites.
A. Coimbra, R. Minasian, H. Triendl, and D. Waldram, Generalised geometry for string corrections
Original
2014
Later among the works it cites.
D. S. Berman and F. J. Rudolph, Strings, Branes and the Self-dual Solutions of Exceptional Field Theory
Original
2015
Later among the works it cites.
D. S. Berman and F. J. Rudolph, Branes are Waves and Monopoles
Original
2015
Later among the works it cites.
C. D. A. Blair and E. Malek, Geometry and fluxes of SL(5) exceptional field theory
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2012

Cited alongside, same era.

G. Dibitetto, J. Fernandez-Melgarejo, D. Marqués, and D. Roest, Duality orbits of non-geometric fluxes

2012

Cited alongside, same era.

O. Hohm and H. Samtleben, Gauge theory of Kaluza-Klein and winding modes

2013

Cited alongside, same era.

O. Hohm, D. Lüst, and B. Zwiebach, The Spacetime of Double Field Theory: Review, Remarks, and Outlook

2013

Cited alongside, same era.

D. S. Berman, M. Cederwall, A. Kleinschmidt, and D. C. Thompson, The gauge structure of generalised diffeomorphisms

2013

Cited alongside, same era.

G. Aldazabal, M. Graña, D. Marqués, and J. Rosabal, Extended geometry and gauged maximal supergravity

2013

Cited alongside, same era.

D. Geissbühler, D. Marqués, C. Núñez, and V. Penas, Exploring Double Field Theory

2013

Cited alongside, same era.

O. Hohm and H. Samtleben, Exceptional Field Theory II: E 7(7)

2014

Cited alongside, same era.

2015

Later among the works it cites.

A. Abzalov, I. Bakhmatov, and E. T. Musaev, Exceptional field theory: S O ( 5 , 5 ) SO(5,5)

2015

Later among the works it cites.

A. Coimbra, C. Strickland-Constable, and D. Waldram, Supersymmetric Backgrounds and Generalised Special Holonomy

2016

Closest in time.

F. Ciceri, A. Guarino, and G. Inverso, The exceptional story of massive IIA supergravity

2016

Closest in time.

I. Bakhmatov, A. Kleinschmidt, and E. T. Musaev, Non-geometric branes are DFT monopoles

2016

Closest in time.

D. S. Berman, C. D. A. Blair, E. Malek, and F. J. Rudolph, An action for F-theory: SL ⁡ ( 2 ) × ℝ + \mathrm{SL}(2)\times{{\mathbb{R}}}^{+} exceptional field theory

2016

Closest in time.

E. T. Musaev, Exceptional field theory: S L ( 5 ) SL(5)

2016

Closest in time.

G. Aldazabal, M. Graña, S. Iguri, M. Mayo, C. Nuñez, and J. A. Rosabal, Enhanced gauge symmetry and winding modes in Double Field Theory

2016

Closest in time.

E. Malek, 7-dimensional 𝒩 = 2 {\cal N}=2 Consistent Truncations using SL ⁡ ( 5 ) \mathrm{SL}(5) Exceptional Field Theory

2017

Closest in time.

P. du Bosque, F. Hassler, D. Lüst, and E. Malek, A geometric formulation of exceptional field theory

2017

Closest in time.

A. Ashmore and D. Waldram, Exceptional Calabi–Yau spaces: the geometry of 𝒩 = 2 \mathcal{N}=2 backgrounds with flux

2017

Closest in time.

E. A. Bergshoeff, J. Gomis, T. A. Nutma, and D. Roest, Kac-Moody Spectrum of (Half-)Maximal Supergravities

2035

Closest in time.