Two-vierbein formalism for string-inspired axionic gravity

Siegel, Warren

doi:10.1103/physrevd.47.5453

Cited by 547 publications

(1,057 citation statements)

References 36 publications

(31 reference statements)

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“…These corrections have been determined, appear to agree with the results to be presented here, and will be considered elsewhere as supporting evidence for the connection to string theory. It was simpler, however, to approach the construction by extending the current algebra methods developed in [10][11][12] and this is what we will do in this paper.…”

Section: Jhep02(2014)065mentioning

confidence: 99%

“…But this approach can be generalized [10][11][12] In more recent developments [14] the construction of such a double field theory was based on closed string field theory [15,16]. This work identified the constraints mentioned above as the strong version of the L 0 −L 0 = 0 level-matching condition of closed string fields.…”

Section: Historymentioning

confidence: 99%

“…We extend the current algebra methods of [10][11][12] to a full-fledged discussion of the worldsheet conformal field theory, including propagators…”

Section: Outline and Summarymentioning

confidence: 99%

“…Consider the action 10) to second order in derivatives. The Lagrangian can be easily computed, recalling that the ⋆ product projects onto divergence-free tensors, so that the pseudovector part of a star product is given by 11) with the right-hand side defined in (5.37).…”

Section: Double Metric Action and Field Equationmentioning

confidence: 99%

“…We will focus on two particular symmetries, to be analyzed in detail in the following sections: 1) When the symmetry parameter is an O(D,D) vector, multiplying a single current Z, it describes "gauge" symmetries, specifically those that reduce to D-dimensional coordinate transformations and the gauge transformations of the 2-form field [10].…”

Section: Jhep02(2014)065mentioning

confidence: 99%

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Doubled α ′-geometry

Hohm¹,

Siegel

Zwiebach

2014

J. High Energ. Phys.

159

295

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We 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 left-handed bosons that makes O(D,D) T-duality manifest. While T-dualities are unchanged, diffeomorphisms and b-field gauge transformations receive corrections, with a gauge algebra given by an α ′ -deformation of the duality-covariantized Courant bracket. The action is cubic in a double metric field, an unconstrained extension of the generalized metric that encodes the gravitational fields. Our approach provides a consistent truncation of string theory to massless fields with corrections that close at finite order in α ′ .

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Section: Jhep02(2014)065mentioning

confidence: 99%

Section: Historymentioning

confidence: 99%

“…We extend the current algebra methods of [10][11][12] to a full-fledged discussion of the worldsheet conformal field theory, including propagators…”

Section: Outline and Summarymentioning

confidence: 99%

Section: Double Metric Action and Field Equationmentioning

confidence: 99%

Section: Jhep02(2014)065mentioning

confidence: 99%

See 3 more Smart Citations

Doubled α ′-geometry

Hohm¹,

Siegel

Zwiebach

2014

J. High Energ. Phys.

159

295

View full text Add to dashboard Cite

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Non‐geometric fluxes in supergravity and double field theory

Andriot

Hohm

Larfors

et al. 2012

Fortschritte der Physik

137

231

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In this paper we propose ten‐dimensional realizations of the non‐geometric fluxes Q and R. In particular, they appear in the NSNS Lagrangian after performing a field redefinition that takes the form of a T‐duality transformation. Double field theory simplifies the computation of the field redefinition significantly, and also completes the higher‐dimensional picture by providing a geometrical role for the non‐geometric fluxes once the winding derivatives are taken into account. The relation to four‐dimensional gauged supergravities, together with the global obstructions of non‐geometry, are discussed.

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The intriguing structure of non‐geometric frames in string theory

Blumenhagen

Deser

Plauschinn

et al. 2013

Fortschritte der Physik

103

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Non-geometric frames in string theory are related to the geometric ones by certain local O(D, D) transformations, the so-called β-transforms. For each such transformation, we show that there exists both a natural field redefinition of the metric and the Kalb-Ramond two-form as well as an associated Lie algebroid. We furthermore prove that the all-order low-energy effective action of the superstring, written in terms of the redefined fields, can be expressed through differential-geometric objects of the corresponding Lie algebroid. Thus, the latter provides a natural framework for effective superstring actions in non-geometric frames. Relations of this new formalism to double field theory and to the description of non-geometric backgrounds such as T-folds are discussed as well.R. Blumenhagen et al.: Non-geometric frames in string theory developed where the O(D, D) transformations 1 play a crucial role, namely generalized geometry [3][4][5][6] and double field theory (DFT) [7][8][9][10][11]. In the first approach, the concept of Riemannian geometry is extended from the tangent bundle T M to the generalized tangent bundle T M ⊕ T * M , whereas in the second the dimension of the space is doubled by including winding coordinates subject to certain constraints. For the latter construction, this admits a manifest global O(D, D) invariance of the action, so in particular, the action is manifestly invariant under T-duality transformations. The fundamental object in both approaches is a generalized metric which combines the usual metric and Kalb-Ramond field. The two local symmetries, diffeomorphisms and B-field gauge transformations, sit inside a subgroup of O (D, D). Their complement in O(D, D) contains so-called (local) β-transforms, which lead out of the usual geometric frame of string theory. Therefore, applying a local β-transform to the geometric frame leads to what we call a non-geometric frame.The existence of non-geometric backgrounds can be seen by analyzing the action of T-duality on the simple background of a flat three-dimensional torus with a constant H-flux [12]. Applying successive T-dualities, this H-flux is first mapped to a geometric flux [13] and by a second T-duality to the nongeometric Q-flux [14][15][16]. The latter background can be understood as a T-fold [17], where the transition functions between two charts involve T-duality transformations. A third T-duality is beyond the scope of the Buscher rules, and both non-commutative geometry [18][19][20] and conformal field theory [21-25] hint towards a non-associative structure. The effect of T-duality on brane solutions has been analyzed recently in [26].Since in DFT a global O(D, D) symmetry is manifest, the first-order effective action in at least a subset of these non-geometric frames is also described by it. What has been puzzling is that the DFT action cannot be straightforwardly interpreted as the Einstein-Hilbert action of some O(D, D) covariant differential geometry [27,28]. The problem is that the notions of torsion and curvature have to be c...

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Two-vierbein formalism for string-inspired axionic gravity

Abstract: Using independent left and right vierbeins to describe graviton plus axion as suggested by string mechanics, O(d,d) duality can be realized linearly.

Cited by 547 publications

References 36 publications

Doubled α ′-geometry

Doubled α ′-geometry

Non‐geometric fluxes in supergravity and double field theory

The intriguing structure of non‐geometric frames in string theory

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