Solution-generating transformations and the string effective action

Bergshoeff, Eric; Janssen, Bert; Ortı́n, Tomás

doi:10.1088/0264-9381/13/3/002

Cited by 95 publications

(184 citation statements)

References 42 publications

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“…Instead, fields that transform as usual (i.e.à la Buscher [23,24]) under T-dualities, and more generally under O(d, d), involve non-covariant redefinitions. A similar result was obtained for the heterotic string in [25], where the O(d, d) friendly fields were obtained through a Lorentz non-covariant redefinition of the metric in terms of the spin connection with torsion (a similar result involving gauge fields was recently found in [26]). Such redefinition had been previously considered in [27], where it was shown that the usual Green-Schwarz mechanism of anomaly cancellation [28] is only consistent with worldsheet supersymmetry if the metric is non-covariantly redefined.…”

Section: Jhep10(2015)084supporting

confidence: 74%

“…Regarding the heterotic case (a, b) = (−α ′ , 0), our results predict the field redefinitions of [25] that relate the Lorentz-covariant metric with the T-duality covariant one. In addition, we obtain the anomalous Lorentz transformation of the metric as given in [27], plus the usual Green-Schwarz transformation of the two-form in terms of ω (−) .…”

Section: Jhep10(2015)084mentioning

confidence: 54%

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T-duality and α′-corrections

Marqués

Núñez

2015

J. High Energ. Phys.

117

278

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Abstract:We 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 parameters interpolate between four-derivative terms that are even and odd with respect to a Z 2 -parity transformation that changes the sign of the two-form field. The Z 2 -symmetric model reproduces the closed bosonic string, and the heterotic string effective action is obtained through a Z 2 -parity-breaking choice of parameters. The theory is an extension of the generalized frame formulation of Double Field Theory, in which the gauge transformations are deformed by a first-order generalized Green-Schwarz transformation. This deformation defines a duality covariant gauge principle that requires and fixes the fourderivative terms. We discuss the O(d, d) structure of the theory and the (non-)covariance of the required field redefinitions.

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Section: Jhep10(2015)084supporting

confidence: 74%

Section: Jhep10(2015)084mentioning

confidence: 54%

T-duality and α′-corrections

Marqués

Núñez

2015

J. High Energ. Phys.

117

278

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“…Notably, the Yang-Mills gauge field enters into the space-time action as the first order α ′ -corrections. Due to the α ′ -corrections, the Buscher rule [25,26] of the T-duality transformation for heterotic supergravity is modified [27][28][29]. The most famous extended objects in heterotic supergravity theories are the heterotic NS5-brane solutions.…”

Section: Jhep11(2016)064mentioning

confidence: 99%

“…Since the gauge field enters into the action (2.1) as the first order α ′ -correction, the T-duality transformation in the heterotic supergravity should be modified from the standard Buscher rule [25,26]. The first order α ′ -corrections to the Buscher rule in heterotic supergravity have been written down in [28]. This is given by…”

Section: T-duality Chains Of Five-branes and α ′ -Corrected Buscher Rulementioning

confidence: 99%

Non-geometric five-branes in heterotic supergravity

Sasaki

Yata

2016

J. High Energ. Phys.

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We study T-duality chains of five-branes in heterotic supergravity where the first order α ′ -corrections are present. By performing the α ′ -corrected T-duality transformations of the heterotic NS5-brane solutions, we obtain the KK5-brane and the exotic 5 2 2 -brane solutions associated with the symmetric, the neutral and the gauge NS5-branes. We find that the Yang-Mills gauge field in these solutions satisfies the self-duality condition in the three-and two-dimensional transverse spaces to the brane world-volumes. The O(2, 2) monodromy structures of the 5 2 2 -brane solutions are investigated by the α ′ -corrected generalized metric. Our analysis shows that the symmetric 5 2 2 -brane solution, which satisfies the standard embedding condition, is a T-fold and it exhibits the non-geometric nature. We also find that the neutral 5 2 2 -brane solution is a T-fold at least at O(α ′ ). On the other hand, the gauge 5 2 2 -brane solution is not a T-fold but show unusual structures of space-time.

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“…In this way, it is easy to see that the last equation is covariant under linear combinations of the vector fields and the S dual vector fields 21) with the only requirement that the transformation matrix is non-singular. However, these vector fields are not independent and consistency implies the following non-linear transformations for the complex scalarλ…”

Section: S Duality Transformationsmentioning

confidence: 99%

Transformation of black-hole hair under duality and supersymmetry

1997

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We study the transformation under the full String Theory duality group of the observable charges (including mass, angular momentum, NUT charge, electric, magnetic and different scalar charges) of four dimensional pointlike objects whose asymptotic behavior constitutes a subclass closed under duality.We find that those charges fall into two complex four-dimensional representations of the duality group. T duality (including Buscher's transformations) has an O(1, 2) action on them and S duality a U (1) action. The generalized Bogomol'nyi bound is an U (2, 2)-invariant built out of one representations while the other representation (which includes the angular momentum) never appear in it. The bound is manifestly duality-invariant.Consistency between T duality and supersymmetry seems to require that primary scalar hair is included in the generalized Bogomol'nyi bound. We also find that all known four-dimensional supersymmetric massless black holes are the T duals in the time direction of the usual massive supersymmetric black holes. Non-extreme massless "black holes" can be found as the T duals of the non-extreme black holes. All of them have primary scalar hair and naked singularities.

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Solution-generating transformations and the string effective action

Cited by 95 publications

References 42 publications

T-duality and α′-corrections

T-duality and α′-corrections

Non-geometric five-branes in heterotic supergravity

Transformation of black-hole hair under duality and supersymmetry

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