Enhanced gauge symmetry and winding modes in double field theory

Aldazábal, G.; Graña, Mariana; Iguri, Sergio; Mayo, Martín Pablo; Núñez, Carmen; Rosabal, J. A.

doi:10.1007/jhep03(2016)093

Cited by 23 publications

(52 citation statements)

References 62 publications

(106 reference statements)

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“…The string S-matrix three-point amplitudes are presented in (B). When mode expanding (4.37) and by using the identifications (5.7) and (5.9) between string polarization tensors and DFT fields polarizations, complete agreement is achieved if we further identify 20) where g c is the closed string coupling.…”

Section: Three-point Interaction Termsmentioning

confidence: 89%

“…However, at specific points of the compact space, some winding states become massless and an effective theory containing only massless states and enhanced gauge symmetry emerges. This scenario appears particularly suitable to identify the explicit part played by windings and a DFT description of the massless winding sector of bosonic string theory compactified on a circle was suggested in [20].…”

Section: Jhep03(2017)096mentioning

confidence: 99%

“…However, in a compact space this difference could be a nonvanishing integer. Even though this is a key ingredient of symmetry enhancing at certain compactification radii (see [20]), we will only consider states satisfying N −N = 0 in the main body of this article. Introducing the 2D-dimensional momentum vector P M = (pμ, pμ), generated by the partial derivatives −i(∂μ, ∂μ) acting on the corresponding field, the constraint reads…”

Section: Jhep03(2017)096mentioning

confidence: 99%

“…Taking Ω = d and integrating by parts, we can express (2.11) in the Einstein frame as 20) JHEP03(2017)096…”

Section: Einstein Frame and Harmonic Coordinatesmentioning

confidence: 99%

“…N,N = 0, ±1) and for this reason it cannot be seen in our construction. In [20], a DFT description of gauge enhancing in circle compactification at self dual radius R 0 was provided. There, it is shown that enhancing from U(1) × U(1) to SU(2) × SU(2) requires a dependence of the fields on the internal coordinates y,ỹ associated to a double circle, as we indeed have here.…”

Section: Jhep03(2017)096mentioning

confidence: 99%

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Probing the string winding sector

Aldazábal

Mayo

Núñez

2017

J. High Energ. Phys.

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We probe a slice of the massive winding sector of bosonic string theory from toroidal compactifications of Double Field Theory (DFT). This string subsector corresponds to states containing one left and one right moving oscillators. We perform a generalized Kaluza Klein compactification of DFT on generic 2n-dimensional toroidal constant backgrounds and show that, up to third order in fluctuations, the theory coincides with the corresponding effective theory of the bosonic string compactified on n-dimensional toroidal constant backgrounds, obtained from three-point amplitudes. The comparison between both theories is facilitated by noticing that generalized diffeomorphisms in DFT allow to fix generalized harmonic gauge conditions that help in identifying the physical degrees of freedom. These conditions manifest as conformal anomaly cancellation requirements on the string theory side. The explicit expression for the gauge invariant effective action containing the physical massless sector (gravity+antisymmetric+gauge+ scalar fields) coupled to towers of generalized Kaluza Klein massive states (corresponding to compact momentum and winding modes) is found. The action acquires a very compact form when written in terms of fields carrying O(n, n) indices, and is explicitly T-duality invariant. The global algebra associated to the generalized Kaluza Klein compactification is discussed.

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Section: Three-point Interaction Termsmentioning

confidence: 89%

Section: Jhep03(2017)096mentioning

confidence: 99%

Section: Jhep03(2017)096mentioning

confidence: 99%

“…Taking Ω = d and integrating by parts, we can express (2.11) in the Einstein frame as 20) JHEP03(2017)096…”

Section: Einstein Frame and Harmonic Coordinatesmentioning

confidence: 99%

Section: Jhep03(2017)096mentioning

confidence: 99%

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Probing the string winding sector

Aldazábal

Mayo

Núñez

2017

J. High Energ. Phys.

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Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

168

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We study D ≥ 4-dimensional half-maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half-maximal Minkowski D and AdS D vacua. We then show how to obtain consistent truncations of type II / 11-dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised SO(d−1−N ) structures, where d = 11−D, and N is the number of vector multiplets obtained in the lower-dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half-maximal gauged SUGRA. We use this to prove that all D ≥ 4 half-maximal warped AdS D and Minkowski D vacua of type II / 11-dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M-theory / heterotic duality. In five dimensions, we find a new SO(5, N ) double field theory with a (6 + N )-dimensional extended space. Its section condition has one solution corresponding to 10-dimensional N = 1 supergravity and another yielding six-dimensional N = (2, 0) SUGRA.

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From exceptional field theory to heterotic double field theory via K3

Malek

2017

J. High Energ. Phys.

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In this paper we show how to obtain heterotic double field theory from exceptional field theory by breaking half of the supersymmetry. We focus on the SL(5) exceptional field theory and show that when the extended space contains a generalised SU(2)-structure manifold one can define a reduction to obtain the heterotic SO(3, n) double field theory. In this picture, the reduction on the SU(2)-structure breaks half of the supersymmetry of the exceptional field theory and the gauge group of the heterotic double field theory is given by the embedding tensor of the reduction used. Finally, we study the example of a consistent truncation of M-theory on K3 and recover the duality with the heterotic string on T 3 . This suggests that the extended space can be made sense of even in the case of non-toroidal compactifications.

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Enhanced gauge symmetry and winding modes in double field theory

Cited by 23 publications

References 62 publications

Probing the string winding sector

Probing the string winding sector

Half‐Maximal Supersymmetry from Exceptional Field Theory

From exceptional field theory to heterotic double field theory via K3

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