Lie algebra lattices and strings on T-folds

Satoh, Yuji; Sugawara, Yuji

doi:10.1007/jhep02(2017)024

Cited by 10 publications

(15 citation statements)

References 52 publications

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“…We now use the Gaussian model at the self-dual radius as a simple model to diagnose the structure of T-duality, the conditions following from modular covariance, and the construction of asymmetric orbifolds by T-duality. 13 We first consider a single Gaussian model and then in order to construct consistent asymmetric orbifolds, d copies of the Gaussian model.…”

Section: Products Of Self-dual Gaussian Modelsmentioning

confidence: 99%

An uplifting discussion of T-duality

Harvey

Moore

2018

J. High Energ. Phys.

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It is well known that string theory has a T-duality symmetry relating circle compactifications of large and small radius. This symmetry plays a foundational role in string theory. We note here that while T-duality is order two acting on the moduli space of compactifications, it is order four in its action on the conformal field theory state space. More generally, involutions in the Weyl group W (G) which act at points of enhanced G symmetry have canonical lifts to order four elements of G, a phenomenon first investigated by J. Tits in the mathematical literature on Lie groups and generalized here to conformal field theory. This simple fact has a number of interesting consequences. One consequence is a reevaluation of a mod two condition appearing in asymmetric orbifold constructions. We also briefly discuss the implications for the idea that T-duality and its generalizations should be thought of as discrete gauge symmetries in spacetime. May 22, 20181 We are actually being somewhat sloppy here from a mathematical viewpoint. (Most physicists will want to skip this footnote.) The "Narain moduli space" is an orbifold, and is more properly regarded as a global stack where the automorphism group of objects is always a finite group. However, it is not really the moduli stack of toroidal conformal field theories. In the latter stack, the automorphism group of an object will include continuous groups at, for example, the points of enhanced A-D-E symmetry, while in the Narain moduli stack the automorphism group of the A-D-E points is a finite group F (Γ(g)) discussed at length below. The moduli stack of conformal field theories maps to the Narain moduli space.

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Section: Products Of Self-dual Gaussian Modelsmentioning

confidence: 99%

An uplifting discussion of T-duality

Harvey

Moore

2018

J. High Energ. Phys.

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“…(See (A.7), (A.12), (A.14), (A.17).) The phase factor ǫ [r] (a,b) is defined in [22], and explicitly written as…”

Section: Jhep08(2017)082mentioning

confidence: 99%

“…Xr (a,b) (τ )) is organized so as to be modular covariant with respect to (a, b), where X r denotes the suitable Lie algebra lattice of rank r presented in [22]. Namely, any modular transformation defined by A ∈ SL(2; Z) acts simply on the subscript (a, b) as…”

Section: Jhep08(2017)082mentioning

confidence: 99%

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Non-supersymmetric D-branes with vanishing cylinder amplitudes in asymmetric orbifolds

Satoh

Sugawara

Uetoko

2017

J. High Energ. Phys.

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Abstract:We study the type II string vacua with chiral space-time SUSY constructed as asymmetric orbifolds of torus and K3 compactifications. Despite the fact that all the D-branes are non-BPS in any chiral SUSY vacua, we show that the relevant non-geometric vacua of asymmetric orbifolds allow rather generally configurations of D-branes which lead to vanishing cylinder amplitudes, implying the bose-fermi cancellation at each mass level of the open string spectrum. After working on simple models of toroidal asymmetric orbifolds, we focus on the asymmetric orbifolds of T 2 × M, where M is described by a general N = 4 SCFT with c = 6 defined by the Gepner construction for K3. Even when the modular invariant partition functions in the bulk remain unchanged, the spectra of such non-BPS D-branes with the bose-fermi cancellation can vary significantly according to the choice of orbifolding.

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“…[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]). This growing literature indicates an increasing interest in this subject, presumably motivated not only by the apparent experimental absence of supersymmetry at the Large Hadron Collider but also by the intrinsically different theoretical behavior of strings within this hitherto largely unexplored region of the string landscape.…”

Section: Introductionmentioning

confidence: 99%

GUT precursors and entwined SUSY: The phenomenology of stable nonsupersymmetric strings

Abel

Mavroudi

2018

Phys. Rev. D

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Recent work has established a method of constructing nonsupersymmetric string models that are stable, with near-vanishing one-loop dilaton tadpoles and cosmological constants. This opens up the tantalizing possibility of realizing stable string models whose low-energy limits directly resemble the Standard Model rather than one of its supersymmetric extensions. In this paper we consider the general structure of such strings and find that they share two important phenomenological properties. The first is a so-called "GUT-precursor" structure in which new GUT-like states appear with masses that can be many orders of magnitude lighter than the scale of gauge coupling unification. These states allow a parametrically large compactification volume, even in weakly coupled heterotic strings, and in certain regions of parameter space can give rise to dramatic collider signatures which serve as "smoking guns" for this overall string framework. The second is a residual "entwined-SUSY" (or e-SUSY) structure for the matter multiplets in which different multiplet components carry different horizontal Uð1Þ charges. As a concrete example and existence proof of these features, we present a heterotic string model that contains the fundamental building blocks of the Standard Model such as the Standard-Model gauge group, complete chiral generations, and Higgs fields-all without supersymmetry. Even though massless gravitinos and gauginos are absent from the spectrum, we confirm that this model has an exponentially suppressed one-loop dilaton tadpole and displays both the GUT-precursor and e-SUSY structures. We also discuss some general phenomenological properties of e-SUSY, such as cancellations in radiative corrections to scalar masses, the possible existence of a corresponding approximate moduli space, and the prevention of rapid proton decay.

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Lie algebra lattices and strings on T-folds

Cited by 10 publications

References 52 publications

An uplifting discussion of T-duality

An uplifting discussion of T-duality

Non-supersymmetric D-branes with vanishing cylinder amplitudes in asymmetric orbifolds

GUT precursors and entwined SUSY: The phenomenology of stable nonsupersymmetric strings

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