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Invariances and Equations of Motion in Double Field Theory
High Energy Physics - Theory · Submitted 16 Aug 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We obtain a Ricci-like tensor, its associated Bianchi identities, and relate our results to those with a generalized metric formulation.
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The abstract, sentence by sentence
We investigate the full set of equations of motion in double field theory and discuss their O(D,D) symmetry and gauge transformation properties. We obtain a Ricci-like tensor, its associated Bianchi identities, and relate our results to those with a generalized metric formulation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the full set of equations of motion in double field theory and discuss their O(D,D) symmetry and gauge transformation properties. | contribution 1.00 | 0.93 | 0.13 | asserted 0.90 |
| s1 | We obtain a Ricci-like tensor, its associated Bianchi identities, and relate our results to those with a generalized metric formulation. | result 0.73 | 0.94 | 0.32 | asserted 1.00 |
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The paper
Original abstract
We investigate the full set of equations of motion in double field theory and discuss their O(D,D) symmetry and gauge transformation properties. We obtain a Ricci-like tensor, its associated Bianchi identities, and relate our results to those with a generalized metric formulation.
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References
How the literature uses it
26 arXiv papers cite this in 42 sentences
Papers citing it · 13 sentences without a confident label
Uses its method or tool 1 paper
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To this end, we use the recently formulated `double field theory' and its T-duality invariance [ref] (see also [ref] and [ref] for a review).
On factorizations in perturbative quantum gravity · Introduction · 0.92
Compares with it 1 paper
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In sec. 4 we will prove that the curvature scalar, upon gauge fixing, reduces to the one of double field theory given in [ref] , and that the corresponding field equations for $E_ij$ as determined in [ref] give rise to the tensors in ([ref]) or ([ref]), thus showing their equivalence.
Frame-like Geometry of Double Field Theory · Gauge invariant action · 0.90
Cites it as support 1 paper
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Fortunately a recent analysis [ref] (see also [ref] for an approach more appropriate for our discussion) show that in fact it is still possible to implement Noether Ideas in this context[Another covariant approach to Noether global symmetries and invariances of DFT was developed in [ref] ].
Noether Identities, $\beta$-functions and symmetries in DFT · Introduction · 0.96
Cites it as background 18 papers
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Recently, a `double field theory' extension of the low-energy theory of closed bosonic strings has been found, in which the T-duality group $O(D,D)$ is realized as a global symmetry by virtue of doubling the coordinates [ref] (see also [ref] and [ref] for a review).
Double Field Theory Formulation of Heterotic Strings · Introduction and Overview · 0.90
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For T-duality this was successfully achieved by Double Field Theory (DFT), originally formulated in [ref] - [ref] and extended in [ref] - [ref] .
The effective action of Double Field Theory · Introduction · 0.85
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The equations of motion of the DFT action ([ref]) (without the terms we denoted $Δ_SCR$) were derived and analyzed in [ref] and [ref] .
Exploring Double Field Theory · Equations of motion · 0.96
What it cites · 24 sentences without a confident label
Uses the method or tool of 1 paper
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Here the $O(D,D)$ covariant derivatives $∇$ and $∇̅$ are defined as follows [ref] : [These covariant derivatives should be employed when more than one calligraphic derivatives are needed.] lcl ∇_i η̅_j ≡ D_i η̅_j - Γ_i j̅^k̅ η̅_k , [1.0ex] ∇̅_j η_i ≡ D̅_j η_i - Γ_ j̅ i ^k η_k , where the Christoffel-like symbols are defined by lclcl Γ_i j̅^k̅ = 12 g^kl ( D_i E_lj + D̅_j E_il - D̅_l E_ij ) , Γ_ij^k = 12 g^kl D_i E_jl , [2.0ex] Γ_i̅ j^k = 12 g^kl ( D̅_i E_jl + D_j E_li - D_l E_ji ) , Γ_i̅ j̅^k̅ = 12 g^kl D̅_i E_lj .
Background independent action for double field theory · Introduction and Summary · 0.87
Compares with 1 paper
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Since different forms of $K_pq$ are equivalent up to the constraint, $R_a b̅$ defined in [ref] is exactly our $- K_a b̅$.
Generalized metric formulation of double field theory · Explicit check of equivalence between $R_a b̅$ and $K_pq$ · 0.98
Cites as background 7 papers
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This symmetry is captured by double field theory [ref] , which doubles the set of coordinates: the usual coordinates $x^i$ associated with momentum states are supplemented by coordinates $x̃_i$ associated with winding states.
Double Field Theory · Introduction and Summary · 0.97
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The work in [ref] describes the background independent double field theory [ref] using the generalized metric $H$.
Background independent action for double field theory · Generalized metric formulation · 0.96
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The work in [ref] describes the background independent double field theory [ref] using the generalized metric $H$.
Generalized metric formulation of double field theory · Generalized metric formulation · 0.96
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