Generalized metric formulation of double field theory
By O. Hohm, C. Hull, B. Zwiebach. 2010
678 citations recorded by the source corpus.
The generalized metric is a T-duality covariant symmetric matrix constructed from the metric and two-form gauge field and arises in generalized geometry. We view it here as a metric on the doubled spacetime and use it to give a simple formulation with manifest T-duality of the double field theory that describes the massless sector of closed strings. The gauge transformations are written in terms of a generalized Lie derivative whose commutator algebra is defined by a double field theory extension of the Courant bracket.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/c3c0624be44c41cb03e259b7393c5939e2036f1b
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Citations in the corpus
- Extended geometry and gauged maximal supergravity (2013, background): “20) which matches the expression of [2].”
- Exploring double field theory (2013, methodology): “Up to boundary terms, the first line in this action equals that of DFT [7–10] plus an additional term that violates the strong constraint.”
- Double field theory formulation of heterotic strings (2011, methodology): “The precise relation to the formulation in terms of a generalized metric is by now well-understood both at the level of the symmetry transformations [4] and the action [6].”
- Doubled α′-geometry (2013, methodology): “This suggested the possibility of a compact explicit form of the doubled action in terms of the generalized metric HMN and the duality invariant dilaton, a construction provided in [18].”
- Spheres, Generalised Parallelisability and Consistent Truncations (2014, methodology): “[26] G. Aldazabal, W. Baron, D. Marqués, and C. Nunez, The effective action of Double Field Theory, JHEP 1111, 052 (2011) [Erratum-ibid.”
- A ten-dimensional action for non-geometric fluxes (2011, background): “It can be rewritten in a T-duality covariant way [19, 20], up to a total derivative term which we will come back to (in particular, we come back to double field theory in section 4.”
- Non‐geometric fluxes in supergravity and double field theory (2012, background): “where g “ detgij , the DFT action reads [16]”
- Generalized geometry and M theory (2010, background): “The recent work of Hohm, Hull and Zwiebach [38] reaches similar conclusions for the doubled geometry of the string.”
- Double Field Theory and N=4 Gauged Supergravity (2011, methodology): “The background independent version of this theory was reformulated in [6] with the generalized metric (2.”
- The spacetime of double field theory: Review, remarks, and outlook (2013, background): “1) can be formulated in an O(D,D) covariant fashion by organizing g, b and φ into new field variables that are O(D,D) tensors [7].”
- Exotic Branes in String Theory (2012, methodology): “The current formulation of DFT requires that we impose the so-called strong constraint [18, 19] on the x, x̃i dependence of fields (see however [17]).”
- The effective action of double field theory (2011, methodology): “For T-duality this was successfully achieved by Double Field Theory (DFT), originally formulated in [25]–[28] and extended in [29]–[39].”
- The gauge structure of generalised diffeomorphisms (2012, background): “The doubled field theory relevant for T-duality is closely connected to the generalised geometry of Hitchin [25], and has been thoroughly investigated [26–36], although some geometric understanding still seems to be missing.”