U-geometry: SL(5)

Park, Jeong-Hyuck; Suh, Yoonji

doi:10.1007/jhep04(2013)147

Cited by 54 publications

(77 citation statements)

References 45 publications

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“…Finally we end with some comments on the extension of these ideas to the extended, exceptional geometries that occur in M-theory where the full U-duality groups are made a manifest symmetry [58,[60][61][62][63][64][65][66][67][68][69][70][71][72][73].…”

Section: Jhep09(2014)066mentioning

confidence: 99%

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Global aspects of double geometry

Berman

Cederwall

Perry³

2014

J. High Energ. Phys.

125

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Abstract:We consider the concept of a generalised manifold in the O(d, d) setting, i.e., in double geometry. The conjecture by Hohm and Zwiebach for the form of finite generalised diffeomorphisms is shown to hold. Transition functions on overlaps are defined. Triple overlaps are trivial concerning their action on coordinates, but non-trivial on fields, including the generalised metric. A generalised manifold is an ordinary manifold, but the generalised metric on the manifold carries a gerbe structure. We show how the abelian behaviour of the gerbe is embedded in the non-abelian T-duality group. We also comment on possibilities and difficulties in the U-duality setting.

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Section: Jhep09(2014)066mentioning

confidence: 99%

“…[58,[60][61][62][63][64][65][66][67][68][69][70][71][72][73]. We refer the reader to those papers or the reviews [16,17] for an introduction.…”

Section: Jhep09(2014)066mentioning

confidence: 99%

Global aspects of double geometry

Berman

Cederwall

Perry³

2014

J. High Energ. Phys.

125

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“…Especially when N = 5, the constructed theory of U-gravity reduces to our preceding research of 'SL(5) U-geometry' [30] cf. [22]).…”

Section: Jhep06(2014)102mentioning

confidence: 89%

“…Both the semi-covariant derivative and the semi-covariant Riemann curvature can be fully covariantized by (anti-)symmetrizing or contracting the SL(N ) vector indices properly [30],…”

Section: Jhep06(2014)102mentioning

confidence: 99%

“…T-duality in string theory becomes a manifest O(D, D) rotation in doubled spacetime [2][3][4][5][6][7][8][9][10], and so do various M-theory U-dualities in extended spacetimes, including the maximal E 11 [11][12][13][14][15][16][17], E 10 [18][19][20][21] and smaller cousins [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] (see also [41][42][43] for further references).…”

Section: Introductionmentioning

confidence: 99%

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U-gravity: SL(N)

Park

Suh

2014

J. High Energ. Phys.

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We construct a duality manifest gravitational theory for the special linear group, SL(N ) with N = 4. The spacetime is formally extended, to have the dimension 1 2 N (N − 1), yet is gauged. Consequently the theory is subject to a section condition. We introduce a semi-covariant derivative and a semi-covariant 'Riemann' curvature, both of which can be completely covariantized after symmetrizing or contracting the SL(N ) vector indices properly. Fully covariant scalar and 'Ricci' curvatures then constitute the action and the 'Einstein' equation of motion. For N ≥ 5, the section condition admits duality inequivalent two solutions, one (N − 1)-dimensional and the other three-dimensional. In each case, the theory can describe not only Riemannian but also non-Riemannian backgrounds.

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T‐duality and non‐geometric solutions from double geometry

Cederwall

2014

Fortschritte der Physik

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Although the introduction of generalised and extended geometry has been motivated mainly by the appearance of dualities upon reductions on tori, it has until now been unclear how (all) the duality transformations arise from first principles in extended geometry. A proposal for solving this problem is given in the framework of double field theory. It is based on a clearly defined extension of the definition of gauge symmetry by isometries of an underlying pseudo-Riemannian manifold. The ensuing relation between transformations of coordinates and fields, which is now derived from first principles, differs from earlier proposals.Comment: 13 pp., plain te

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U-geometry: SL(5)

Cited by 54 publications

References 45 publications

Global aspects of double geometry

Global aspects of double geometry

U-gravity: SL(N)

T‐duality and non‐geometric solutions from double geometry

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