# T-duality constraints on higher derivatives revisited

@article{Hohm2015TdualityCO,
title={T-duality constraints on higher derivatives revisited},
author={Olaf Hohm and Barton Zwiebach},
journal={Journal of High Energy Physics},
year={2015},
volume={2016},
pages={1-27}
}
• Published 30 September 2015
• Mathematics
• Journal of High Energy Physics
A bstractWe ask to what extent are the higher-derivative corrections of string theory constrained by T-duality. The seminal early work by Meissner tests T-duality by reduction to one dimension using a distinguished choice of field variables in which the bosonic string action takes a Gauss-Bonnet-type form. By analyzing all field redefinitions that may or may not be duality covariant and may or may not be gauge covariant we extend the procedure to test T-duality starting from an action expressed…

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## References

SHOWING 1-10 OF 29 REFERENCES

### T-duality and α′-corrections

• Physics
• 2015
A bstractWe construct an O(d, d) invariant universal formulation of the first-order α′-corrections of the string effective actions involving the dilaton, metric and two-form fields. Two free

### Double field theory at order α′

• Physics
• 2014
A bstractWe investigate α′ corrections of bosonic strings in the framework of double field theory. The previously introduced “doubled α′-geometry” gives α′-deformed gauge transformations arising in

### Double Metric, Generalized Metric and $α'$-Geometry

• Mathematics
• 2015
We relate the unconstrained ‘double metric’ of the ‘α ′ -geometry’ formulation of double field theory to the constrained generalized metric encoding the spacetime metric and b-field. This is achieved

### Doubled α′-geometry

• Physics
• 2013
A bstractWe develop doubled-coordinate field theory to determine the α′ corrections to the massless sector of oriented bosonic closed string theory. Our key tool is a string current algebra of free

### Heterotic effective action and duality symmetries revisited

• Physics
• 2014
A bstractThe dimensional reduction of heterotic supergravity with gauge fields truncated to the Cartan subalgebra exhibits a continuous O(d, d + 16; ℝ) global symmetry, related to the O(d, d + 16; ℤ)

### Duality completion of higher derivative corrections

• Mathematics
• 2013
A bstractWe 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

### Manifest Duality in Low-Energy Superstrings

String theories inspire a new formalism for their low-energy limits. In this approach to these field theories, spacetime duality and stringy left/right handedness are manifest. Enlarged tangent-space

### Green-Schwarz mechanism and α′-deformed Courant brackets

• Geology
• 2015
A bstractWe establish that the unusual two-form gauge transformations needed in the Green-Schwarz anomaly cancellation mechanism fit naturally into an α′-deformed generalized geometry. The algebra of