Built on

R. Penrose, “Solutions of the zero-rest-mass equations,” J. Math. Phys. 10
1969
Earlier work this paper cites.
R. Penrose, “The Twistor Program,” Rept. Math. Phys. 12
1977
Earlier work this paper cites.
W. Siegel, “Two vierbein formalism for string inspired axionic gravity,” Phys. Rev. D 47
1993
Earlier work this paper cites.
W. Siegel, “Superspace duality in low-energy superstrings,” Phys. Rev. D 48
1993
Earlier work this paper cites.
N. Berkovits and S. A. Cherkis, “Higher-dimensional twistor transforms using pure spinors,” JHEP 0412
2004
Earlier work this paper cites.
C. M. Hull, “A Geometry for non-geometric string backgrounds,” JHEP 0510
2005
Earlier work this paper cites.
C. M. Hull, “Doubled Geometry and T-Folds,” JHEP 0707
2007
Earlier work this paper cites.
C. Hull and B. Zwiebach, “Double Field Theory,” JHEP 0909
Original
2009
Earlier work this paper cites.
C. Hull and B. Zwiebach, “The Gauge algebra of double field theory and Courant brackets,” JHEP 0909
Original
2009
Earlier work this paper cites.
O. Hohm, C. Hull and B. Zwiebach, “Background independent action for double field theory,” JHEP 1007
Original
2010
Earlier work this paper cites.
O. Hohm, C. Hull and B. Zwiebach, “Generalized metric formulation of double field theory,” JHEP 1008
Original
2010
Earlier work this paper cites.
A. Abouelaz and A. Ihsane, ”Integral geometry on discrete Grassmannians 𝔾 ⁡ ( d , n ) \mathbb{G}(d,n) associated to ℤ n \mathbb{Z}_{n} .” Integral Transforms and Special Functions 21.3 (2010): 197-220
2010
Earlier work this paper cites.
S. Helgason, “Integral Geometry and Radon Transforms,” Springer Science & Business Media, 2010
2010
Earlier work this paper cites.
D. Geissbuhler, “Double Field Theory and N=4 Gauged Supergravity,” JHEP 1111
Original
2011
Earlier work this paper cites.
G. Aldazabal, W. Baron, D. Marques and C. Nunez, “The effective action of Double Field Theory,” JHEP 1111
Original
2011
Earlier work this paper cites.

Similar

A. Abouelaz, and F. Rouvière, ”Radon transform on the torus.” Mediterranean journal of mathematics 8.4 (2011): 463-471
2011
Cited alongside, same era.
A. Abouelaz, ”The d-plane radon transform on the torus T n T^{n} .” Fractional Calculus and Applied Analysis 14.2 (2011): 233-246
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Cited alongside, same era.
O. Hohm and S. K. Kwak, “Double Field Theory Formulation of Heterotic Strings,” JHEP 1106
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2011
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O. Hohm, S. K. Kwak and B. Zwiebach, “Unification of Type II Strings and T-duality,” Phys. Rev. Lett. 107
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2011
Cited alongside, same era.
O. Hohm, S. K. Kwak and B. Zwiebach, “Double Field Theory of Type II Strings,” JHEP 1109
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Then

D. S. Berman, H. Godazgar, M. Godazgar and M. J. Perry, “The Local symmetries of M-theory and their formulation in generalised geometry,” JHEP 1201
Original
2012
Later among the works it cites.
I. Jeon, K. Lee and J.-H. Park, “Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity,” Phys. Rev. D Rapid comm. 85
Original
2012
Later among the works it cites.
O. Hohm and S. K. Kwak, “N=1 Supersymmetric Double Field Theory,” JHEP 1203
Original
2012
Later among the works it cites.
E. T. Musaev, “Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions,” JHEP 1305
Original
2013
Later among the works it cites.
O. Hohm and H. Samtleben, “Exceptional Form of D=11 Supergravity,” Phys. Rev. Lett. 111

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2015

Towards Weakly Constrained Double Field Theory

Lee, Kanghoon

Understand

We show that it is possible to construct a well-defined effective field theory incorporating string winding modes without using strong constraint in double field theory.

We show that X-ray (Radon) transform on a torus is well-suited for describing weakly constrained double fields, and any weakly constrained fields are represented as a sum of strongly constrained fields.
Using inverse X- ray transform we define a novel binary operation which is compatible with the level matching constraint.
Based on this formalism, we construct a consistent gauge transform and gauge invariant action without using strong constraint.

Built on

R. Penrose, “Solutions of the zero-rest-mass equations,” J. Math. Phys. 10
1969
Earlier work this paper cites.
R. Penrose, “The Twistor Program,” Rept. Math. Phys. 12
1977
Earlier work this paper cites.
W. Siegel, “Two vierbein formalism for string inspired axionic gravity,” Phys. Rev. D 47
1993
Earlier work this paper cites.
W. Siegel, “Superspace duality in low-energy superstrings,” Phys. Rev. D 48
1993
Earlier work this paper cites.
N. Berkovits and S. A. Cherkis, “Higher-dimensional twistor transforms using pure spinors,” JHEP 0412
2004
Earlier work this paper cites.
C. M. Hull, “A Geometry for non-geometric string backgrounds,” JHEP 0510
2005
Earlier work this paper cites.
C. M. Hull, “Doubled Geometry and T-Folds,” JHEP 0707
2007
Earlier work this paper cites.
C. Hull and B. Zwiebach, “Double Field Theory,” JHEP 0909
Original
2009
Earlier work this paper cites.
C. Hull and B. Zwiebach, “The Gauge algebra of double field theory and Courant brackets,” JHEP 0909
Original
2009
Earlier work this paper cites.
O. Hohm, C. Hull and B. Zwiebach, “Background independent action for double field theory,” JHEP 1007
Original
2010
Earlier work this paper cites.
O. Hohm, C. Hull and B. Zwiebach, “Generalized metric formulation of double field theory,” JHEP 1008
Original
2010
Earlier work this paper cites.
A. Abouelaz and A. Ihsane, ”Integral geometry on discrete Grassmannians 𝔾 ⁡ ( d , n ) \mathbb{G}(d,n) associated to ℤ n \mathbb{Z}_{n} .” Integral Transforms and Special Functions 21.3 (2010): 197-220
2010
Earlier work this paper cites.
S. Helgason, “Integral Geometry and Radon Transforms,” Springer Science & Business Media, 2010
2010
Earlier work this paper cites.
D. Geissbuhler, “Double Field Theory and N=4 Gauged Supergravity,” JHEP 1111
Original
2011
Earlier work this paper cites.
G. Aldazabal, W. Baron, D. Marques and C. Nunez, “The effective action of Double Field Theory,” JHEP 1111
Original
2011
Earlier work this paper cites.