6d string chains

Gadde, Abhijit; Haghighat, Babak; Kim, Joon-Ho; Kim, Seok; Lockhart, Guglielmo; Vafa, Cumrun

doi:10.1007/jhep02(2018)143

Cited by 76 publications

(134 citation statements)

References 54 publications

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“…Thus we can identify SO(3) visible in our 2d UV theory as the superconformal R-symmetry of the 6d CFT. E-strings of the higher rank 6d SCFTs which see SU(2) l are discussed in [35,36].…”

Section: Jhep09(2017)098mentioning

confidence: 99%

Elliptic genus of E-strings

Kim

Lee

et al. 2017

J. High Energ. Phys.

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172

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Abstract:We study a family of 2d N = (0, 4) gauge theories which describes at low energy the dynamics of E-strings, the M2-branes suspended between a pair of M5 and M9 branes. The gauge theory is engineered using a duality with type IIA theory, leading to the D2-branes suspended between an NS5-brane and 8 D8-branes on an O8-plane. We compute the elliptic genus of this family of theories, and find agreement with the known results for single and two E-strings. The partition function can in principle be computed for arbitrary number of E-strings, and we compute them explicitly for low numbers. We test our predictions against the partially known results from topological strings, as well as from the instanton calculus of 5d Sp(1) gauge theory. Given the relation to topological strings, our computation provides the all genus partition function of the refined topological strings on the canonical bundle over 1 2 K3.

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“…Thus we can identify SO(3) visible in our 2d UV theory as the superconformal R-symmetry of the 6d CFT. E-strings of the higher rank 6d SCFTs which see SU(2) l are discussed in [35,36].…”

Section: Jhep09(2017)098mentioning

confidence: 99%

Elliptic genus of E-strings

Kim

Lee

et al. 2017

J. High Energ. Phys.

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172

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“…From the reduction of the SO(8) seven-brane, we get the zero modes given by a Consider next the contribution from the D3-branes. The theory of spacetime filling strings for this case has been determined in reference [42], and also follows from the general discussion of extra sectors given in reference [54]. For the 3 − 3 strings, we have a vector multiplet in the adjoint representation of Sp(N ), so we denote this contribution as V ⊕ Λ. Additionally, we have a (0, 4) hypermultiplet in the two-index anti-symmetric representation which we can also write as two CS multiplets X ⊕ Y .…”

Section: The Weakly Coupled So(8) Theorymentioning

confidence: 99%

“…Consider, then, the various contributions to k RR : 42) where the last term is due to the fact that there is a direct coupling between the chiral bosons and the U (1) R-symmetry. Let us discuss each of these terms.…”

Section: Anomaly Polynomialmentioning

confidence: 99%

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From 6D superconformal field theories to dynamic gauged linear sigma models

Apruzzi¹,

Haßler²,

Heckman³

et al. 2017

Phys. Rev. D

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Compactifications of 6D superconformal field theories (SCFTs) on four-manifolds generate a large class of novel 2d quantum field theories. We consider in detail the case of the rank one simple non-Higgsable cluster 6D SCFTs. On the tensor branch of these theories, the gauge group is simple and there are no matter fields. For compactifications on suitably chosen Kähler surfaces, we present evidence that this provides a method to realize 2d SCFTs with N = (0, 2) supersymmetry. In particular, we find that reduction on the tensor branch of the 6D SCFT yields a description of the same 2d fixed point that is described in the UV by a gauged linear sigma model (GLSM) in which the parameters are promoted to dynamical fields, that is, a "dynamic GLSM" (DGLSM). Consistency of the model requires the DGLSM to be coupled to additional non-Lagrangian sectors obtained from reduction of the anti-chiral two-form of the 6D theory. These extra sectors include both chiral and anti-chiral currents, as well as spacetime filling non-critical strings of the 6D theory. For each candidate 2d SCFT, we also extract the left-and right-moving central charges in terms of data of the 6D SCFT and the compactification manifold. *

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“…The brane set-up realizes a circular chain of E-string theory on O6 + and SO(8) gauge theory on O6 − , where SO(8) × SO(8) ⊂ E 8 global symmetry of E-string theory is being gauged [26,33,34].…”

Section: Jhep10(2017)045mentioning

confidence: 99%

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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6d string chains

Cited by 76 publications

References 54 publications

Elliptic genus of E-strings

Elliptic genus of E-strings

From 6D superconformal field theories to dynamic gauged linear sigma models

Little strings on D n orbifolds

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