Double field formulation of Yang-Mills theory

Imtak Jeon; Jeong-Hyuck Park; Kanghoon Lee

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Double field formulation of Yang-Mills theory

Imtak Jeon, Kanghoon Lee, Jeong-Hyuck Park

High Energy Physics - Theory · Submitted 2 Feb 2011

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations: non-Abelian Yang-Mills, diffeomorphism and one-form gauge symmetries.

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Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations: non-Abelian Yang-Mills, diffeomorphism and one-form gauge symmetries. In double field formulation, in a manifestly covariant manner our action couples a single O(D,D) vector potential to the closed string double field theory. In terms of undoubled component fields, it couples a usual Yang-Mills gauge field to an additional one-form field and also to the closed string background fields which consist of a dilaton, graviton and a two-form gauge field. Our resulting action resembles a twisted Yang-Mills action.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations: non-Abelian Yang-Mills, diffeomorphism and one-form gauge symmetries.	contribution 0.99	0.92	0.67	asserted 1.00
s1	In double field formulation, in a manifestly covariant manner our action couples a single O(D,D) vector potential to the closed string double field theory.	contribution 0.74	0.90	0.21	asserted 1.00
s2	In terms of undoubled component fields, it couples a usual Yang-Mills gauge field to an additional one-form field and also to the closed string background fields which consist of a dilaton, graviton and a two-form gauge field.	result 0.57	0.86	0.17	asserted 1.00
s3	Our resulting action resembles a twisted Yang-Mills action.	interpretation 0.86	0.85	0.18	asserted 0.95

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Original abstract

Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations: non-Abelian Yang-Mills, diffeomorphism and one-form gauge symmetries. In double field formulation, in a manifestly covariant manner our action couples a single O(D,D) vector potential to the closed string double field theory. In terms of undoubled component fields, it couples a usual Yang-Mills gauge field to an additional one-form field and also to the closed string background fields which consist of a dilaton, graviton and a two-form gauge field. Our resulting action resembles a twisted Yang-Mills action.

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Cited by 20 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity
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A five-term action realizes ten-dimensional Majorana-Weyl local supersymmetry in double field theory and reduces to minimal supergravity after gauge fixing.
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hep-th 2011-05 conditional novelty 7.0 of 10

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Classification of non-Riemannian doubled-yet-gauged spacetime
hep-th 2017-07 accept novelty 6.0 of 10

Every non-Riemannian Double Field Theory background is classified by two integers (n, n̄), with Newton-Cartan, Carroll, and Gomis-Ooguri geometries appearing as special cases.
M-theory and Type IIB from a Duality Manifest Action
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Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions
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The fermionic sector of gauged double field theory is constructed, and supersymmetry is shown to survive the generalised Scherk-Schwarz reduction that relaxes the strong constraint.
The O_{D,D} Geometry of String Theory
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The double field theory action equals a specific H-invariant contraction of the generalised torsion of a flat, metric-compatible Weitzenböck connection, reproducing the known action plus a previously ad hoc term.
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Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory
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The local symmetries of M-theory and their formulation in generalised geometry
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The paper constructs the generalised Lie derivative and bracket for SL(5) generalised geometry and derives the section condition by requiring the symmetry algebra to close.
Incorporation of fermions into double field theory
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Fermions can be incorporated into double field theory in a fully T-duality-covariant way, and a T-duality rotation flips their chirality exactly when a background-dependent determinant equals minus one.
The effective action of Double Field Theory
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A Scherk-Schwarz reduction of Double Field Theory on a twisted double torus reproduces the bosonic electric sector of four-dimensional gauged N=4 supergravity, with the gaugings identified as generalized fluxes of the twist.
Heterotic Effective Action and Duality Symmetries Revisited
hep-th 2014-11 accept novelty 5.0 of 10

The dimensionally reduced heterotic effective action with the full non-abelian gauge group has a universal O(d,d;R) symmetry to all orders in alpha-prime, exhibited in a new O(d,d)-covariant formulation.
Comments on double field theory and diffeomorphisms
hep-th 2013-04 accept novelty 5.0 of 10

A recently proposed finite transformation rule in double field theory is shown to agree with the exponential map up to a gauge equivalence, and semi-covariant derivatives and curvatures remain fully covariant under fi...
Exploring Double Field Theory
hep-th 2013-04 conditional novelty 5.0 of 10

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Ramond-Ramond Cohomology and O(D,D) T-duality
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The R-R potentials enter double field theory as a bi-fundamental spinor, and diagonal gauge fixing turns T-duality into a chirality-flipping operation that exchanges type IIA and IIB supergravities.
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The authors construct the N=1 supersymmetric extension of ten-dimensional double field theory, including coupling to n abelian vector multiplets, and show the supersymmetry algebra closes into generalized diffeomorphisms.
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Duality Symmetric String and M-Theory
hep-th 2013-06 accept

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How the literature uses it

38 arXiv papers cite this in 66 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 38 sentences without a confident label

Builds on it 2 papers

In this paper, within the geometric setup [ref] , as a natural next step toward the construction of $=2$ $D=10$ SDFT which should reformulate the type IIA and IIB supergravities in a unified manner, we incorporate Ramond-Ramond (R-R) sector into double field theory, manifesting the $$ structure.

Ramond-Ramond Cohomology and O(D,D) T-duality · Introduction · 0.80
After finishing our analysis on the pure NS-NS sector DFT, we generalize to include Yang-Mills [ref] as well as cosmological constant.

$\mathbf{O}(D,D)$ Covariant Noether Currents and Global Charges in Double Field Theory · Introduction and Summary · 0.84

Uses its method or tool 4 papers

We consider the semi-covariant field strength defined in terms of the semi-covariant derivative [ref] , _AB:=_A_B-_B_A-i[_A,_B] .

Standard Model as a Double Field Theory · Standard Model Double Field Theory (SM-DFT) · 0.88
While the motivation of our work comes from the Dynkin diagram prediction [ref] and the $E_11$ proposal [ref] , for the actual construction of the $$ U-gravity, we heavily employ the differential geometry tools from [ref] which were developed to provide an underlying `stringy' differential geometry for DFT (see Table [ref] for its characteristic).[Alternative approaches include [ref] .] The methods have been successfully applied to construct Yang-Mills DFT [ref] , coupling to fermions [ref] , coupling to RR-sector [ref] , $=1, D=10$ (full order) super DFT [ref] , $=2, D=10$ (full order) super DFT [ref] , and the completely covariant string action on doubled-yet-gauged spacetime [ref] .

U-gravity : ${\mathbf{SL}(N)}$ · Introduction · 1.00
Now, following [ref] , with the semi-covariant derivative, $_A$, we define a modified Cartan-Maurer curvature, _AB:=_AΩ_B-_BΩ_A+[Ω_A,Ω_B] .

Stringy differential geometry, beyond Riemann · Gauging the internal symmetry · 0.96

Compares with it 1 paper

The difference is that there, the $O(D,D)$ vectors are covariantly constrained in a strong sense, namely they are self-orthogonal and also orthogonal to the generalized derivatives as in [ref] , and the identification is performed after solving the constraint.

The generalized Bergshoeff-de Roo identification · Alternative identifications · 1.00

Cites it as background 20 papers

The recent revival of these ideas has led to a T-duality manifest rewriting of ten-dimensional supergravity known as double field theory [ref] .

M-theory and Type IIB from a Duality Manifest Action · Introduction · 0.84
* In Appendix, we review in a self-contained manner the stringy differential geometry of SDFT developed in [ref] .

Ramond-Ramond Cohomology and O(D,D) T-duality · Introduction · 0.87
This kind of reformulation was coined Double Field Theory (DFT) [ref] , and has attracted much attention in recent years [ref] .

Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity · Introduction · 1.00

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