Duality completion of higher derivative corrections

Hadi Godazgar; Mahdi Godazgar

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Duality completion of higher derivative corrections

Hadi Godazgar, Mahdi Godazgar

High Energy Physics - Theory · Submitted 20 Jun 2013

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

The authors' main claim We apply this idea to closed bosonic string theory and complete the Riemann squared term to simply derive the known full tree-level effective action to order alpha'.

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What the abstract itself states, as probabilities: claims first 0.11 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.59 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We present a new method for completing higher derivative corrections for theories that exhibit duality symmetries under reduction. This proposal is based on the observation that duality symmetry in the reduced theory highly constrains the form of the unreduced theory. We apply this idea to closed bosonic string theory and complete the Riemann squared term to simply derive the known full tree-level effective action to order alpha'.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present a new method for completing higher derivative corrections for theories that exhibit duality symmetries under reduction.	contribution 0.99	0.94	0.27	asserted 1.00
s1	This proposal is based on the observation that duality symmetry in the reduced theory highly constrains the form of the unreduced theory.	method 0.90	0.55	0.14	asserted 0.99
s2	We apply this idea to closed bosonic string theory and complete the Riemann squared term to simply derive the known full tree-level effective action to order alpha'.	result 0.73	0.94	0.51	asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

We present a new method for completing higher derivative corrections for theories that exhibit duality symmetries under reduction. This proposal is based on the observation that duality symmetry in the reduced theory highly constrains the form of the unreduced theory. We apply this idea to closed bosonic string theory and complete the Riemann squared term to simply derive the known full tree-level effective action to order alpha'.

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References

Forward citations

Cited by 6 Pith papers

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

Effective action of type II superstring theories at order $\alpha'^3$: NS-NS couplings
hep-th 2020-11 conditional novelty 6.0 of 10

Imposing Z2 T-duality invariance on the circle reduction of the most general gauge-invariant NS-NS action at order α'^3 fixes all 872 coefficients up to one overall factor, yielding 445 non-zero couplings in 15 structures.
T-duality Constraints on Higher Derivatives Revisited
hep-th 2015-09 accept novelty 6.0 of 10

A systematic one-dimensional reduction test shows T-duality fixes the first-order alpha-prime corrections of the bosonic string up to terms invisible in one dimension, and rules out the minimal Green-Schwarz double fi...
Covariant action for a string in doubled yet gauged spacetime
hep-th 2013-07 accept novelty 6.0 of 10

The coordinate gauge symmetry of doubled spacetime is equivalent to the section condition, and a gauge connection built on this principle yields a string action covariant under all relevant symmetries, including for d...
T-duality and $\alpha'$-corrections
hep-th 2015-07 conditional novelty 5.0 of 10

A two-parameter T-duality-covariant reformulation of first-order alpha-prime string corrections, in which a deformed generalized Green-Schwarz transformation fixes the four-derivative terms and reproduces known bosoni...
The Geometry, Branes and Applications of Exceptional Field Theory
hep-th 2020-06 accept novelty 2.0 of 10

Exceptional field theory recasts the maximal supergravities as a single extended geometry whose local symmetry is the exceptional U-duality group Ed(d), with extra coordinates conjugate to brane winding modes.

Show 1 more citing papers

Double Field Theory: A Pedagogical Review
hep-th 2013-05 accept novelty 2.0 of 10

A self-contained review that assembles the doubled-space action, generalized diffeomorphisms, double geometry, Scherk-Schwarz reductions to gauged supergravity, and U-duality extensions of Double Field Theory into one...

How the literature uses it

23 arXiv papers cite this in 33 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 · 20 sentences without a confident label

Uses its method or tool 1 paper

The cosmological reduction idea of [ref] provides a systematic method of testing T-duality invariance of higher derivative couplings.

T-duality and hints of generalized geometry in string $\alpha'$ corrections · Introduction · 0.88

Compares with it 5 papers

The last block of terms with coefficient $a + b$ is even under $Z_2$-parity, and exactly agrees with the results in [ref] , where it was shown to coincide modulo field redefinitions and boundary terms with the Metsaev-Tseytlin form of the action [ref] .

T-duality and $\alpha'$-corrections · From Bergshoeff-de Roo to Metsaev-Tseytlin · 0.91
This torus reduced Lagrangian, ([ref]), agrees with [ref] as well as [ref] after appropriate field redefinitions.

T-duality building blocks for $\alpha'$ string corrections · The bosonic string at $𝒪(α')$ · 1.00
Once truncated to scalars only (i.e. setting $A_μ^M=0=B_μν$, $g_μν=η_μν$), the action ([ref]) reduces to two terms which provide an equivalent compact rewriting of the action given in Ref. [ref] .

Green-Schwarz Mechanism for String Dualities · Introduction · 0.97

Cites it as background 7 papers

Before turning to a reexamination of the eight-derivative couplings in the type II effective action, we review the cosmological reduction of [ref] and the investigation of T-duality invariance in the scalar sector of the reduced theory.

T-duality and hints of generalized geometry in string $\alpha'$ corrections · Cosmological reduction and T-duality · 0.88
In Ref. [ref] the case of a single circle was investigated, while Ref. [ref] includes a general torus but truncates to `internal' field degrees of freedom.

Green-Schwarz Mechanism for String Dualities · Introduction · 0.84
Many methods have been proposed to learn about higher derivative interactions based on the way in which duality organizes the lower dimensional theories [ref] .

The generalized Bergshoeff-de Roo identification · Introduction · 0.90

What it cites · 22 sentences without a confident label

Cites as support 1 paper

Further evidence for the fact that the duality coset in string theory must be corrected comes from generalised geometry and double field theory [ref] .

Double Field Theory · Duality group element · 0.98

Cites as background 27 papers

The duality group element for O$(d,d)$ is well known from the literature [ref] .

Noncompact Symmetries in String Theory · O$(d,d)/$O$(d)×$O$(d)$ group element · 0.92
Using duality symmetries to understand new aspects of the theory, such as constraining or determining higher derivative corrections, is not a new idea and indeed significant work has been done in this regard[A non-exhaustive list of references on duality and higher derivative corrections in the context of string/M-theory includes [ref] .

Duality Groups, Automorphic Forms and Higher Derivative Corrections · Introduction · 0.96
Using duality symmetries to understand new aspects of the theory, such as constraining or determining higher derivative corrections, is not a new idea and indeed significant work has been done in this regard[A non-exhaustive list of references on duality and higher derivative corrections in the context of string/M-theory includes [ref] .

Eisenstein Series in String Theory · Introduction · 0.96

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