Little strings and T-duality

Kim, Jungmin; Kim, Seok; Lee, Kimyeong

doi:10.1007/jhep02(2016)170

Cited by 47 publications

(53 citation statements)

References 45 publications

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“…As a byproduct, our result also verifies the 5d/6d dualities involving D n singularities, discussed in [26][27][28]. Similar studies on T-duality of LSTs were already made in [25,[29][30][31] for the (2, 0) LSTs and the (1, 0) LSTs found from NS5-branes on A n singularities.…”

Section: Jhep10(2017)045supporting

confidence: 89%

“…Each winding sector has a fixed winding number along the circle, which we interpret as a number of 6d little strings. When the circle radius is taken be large, the Hilbert space of 6d BPS states is factorized into numerous winding sectors being decoupled from one another at low energy regime [25]. Such decoupling occurs as the ground energy gap between distinct winding sectors is proportional to the circle radius R, dominating the momentum excitation proportional to the inverse of the circle radius R −1 .…”

Section: Jhep10(2017)045mentioning

confidence: 99%

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Little strings on D n orbifolds

Kim

Lee

2017

J. High Energ. Phys.

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We explore two classes of 6d N = (1, 0) little string theories obtained from type IIA/IIB NS5-branes probing D n singularities. Their tensor branches are described by effective gauge theories whose instanton solitons are macroscopic little strings. We specifically study two families of 2d N = (0, 4) gauge theories which describe at low energy the worldsheet dynamics of the type IIA/IIB little strings. These gauge theories are useful to calculate the supersymmetric partition functions of the little string theories on R 4 × T 2 . We establish the T-duality of the little string theories by utilizing their BPS spectra as a probe.

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Section: Jhep10(2017)045supporting

confidence: 89%

Section: Jhep10(2017)045mentioning

confidence: 99%

Little strings on D n orbifolds

Kim

Lee

2017

J. High Energ. Phys.

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“…[14][15][16][17][18]. The equivariant elliptic genus turns out to be equal to the refined topological string partition function of the dual Calabi-Yau threefold [10,14,17,18]. Without these insertions, the elliptic genus diverges which is the case for ϵ 1;2 ↦ 0 and this matches the divergence of the refined topological string partition function for ϵ 1;2 ↦ 0.…”

Section: Introductionmentioning

confidence: 63%

“…The regularized partition function is the equivariant (2,0) elliptic genus with the equivariant action on the instaton moduli spaces being given by lifting ðz 1 ; z 2 Þ ∈ C 2 ↦ ðe iϵ 1 z 1 ; e iϵ 2 z 2 Þ with ϵ 1 , ϵ 2 as the equivariant parameters. [14][15][16][17][18]. The equivariant elliptic genus turns out to be equal to the refined topological string partition function of the dual Calabi-Yau threefold [10,14,17,18].…”

Section: Introductionmentioning

confidence: 97%

Dual little strings and their partition functions

et al. 2018

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We study the topological string partition function of a class of toric, double elliptically fibered Calabi-Yau threefolds X N;M at a generic point in the Kähler moduli space. These manifolds engineer little string theories in five dimensions or lower and are dual to stacks of M5-branes probing a transverse orbifold singularity. Using the refined topological vertex formalism, we explicitly calculate a generic building block which allows us to compute the topological string partition function of X N;M as a series expansion in different Kähler parameters. Using this result, we give further explicit proof for a duality found previously in the literature, which relates X N;M ∼ X N 0 ;M 0 for NM ¼ N 0 M 0 and gcdðN; MÞ ¼ gcdðN 0 ; M 0 Þ.

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“…It is amusing to note that we can also obtain a theory in 4d of A-type class S with no punctures by considering the little string theory [37,38] of the above setup [20] (see also [39]). In this case the toric geometry is doubly periodic and we end up periodically identifying horizontal space as well.…”

Section: Jhep11(2015)123mentioning

confidence: 99%

Geometric engineering, mirror symmetry and 6 d 1 0 → 4 d N = 2 $$ 6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)} $$

Zotto

Vafa

Xie

2015

J. High Energ. Phys.

107

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Abstract:We study compactification of 6 dimensional (1,0) theories on T 2 . We use geometric engineering of these theories via F-theory and employ mirror symmetry technology to solve for the effective 4d N = 2 geometry for a large number of the (1, 0) theories including those associated with conformal matter. Using this we show that for a given 6d theory we can obtain many inequivalent 4d N = 2 SCFTs. Some of these respect the global symmetries of the 6d theory while others exhibit SL(2, Z) duality symmetry inherited from global diffeomorphisms of the T 2 . This construction also explains the 6d origin of moduli space of 4d affine ADE quiver theories as flat ADE connections on T 2 . Among the resulting 4d N = 2 CFTs we find theories whose vacuum geometry is captured by an LG theory (as opposed to a curve or a local CY geometry). We obtain arbitrary genus curves of class S with punctures from toroidal compactification of (1, 0) SCFTs where the curve of the class S theory emerges through mirror symmetry. We also show that toroidal compactification of the little string version of these theories can lead to class S theories with no punctures on arbitrary genus Riemann surface.

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Little strings and T-duality

Cited by 47 publications

References 45 publications

Little strings on D n orbifolds

Little strings on D n orbifolds

Dual little strings and their partition functions

Geometric engineering, mirror symmetry and 6 d 1 0 → 4 d N = 2 $$ 6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)} $$

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