On the Defect Group of a 6D SCFT

Zotto, Michele Del; Heckman, Jonathan J.; Park, Daniel; Rudelius, Tom

doi:10.1007/s11005-016-0839-5

Cited by 130 publications

(236 citation statements)

References 66 publications

Supporting

Mentioning

227

Contrasting

Order By: Relevance

“…It would be interesting to also study the fate of the surface defects of the 6d (1,0) theory upon compactification, perhaps along the lines suggested in [75].…”

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.

Self Cite

107

View full text Add to dashboard Cite

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.

show abstract

“…It would be interesting to also study the fate of the surface defects of the 6d (1,0) theory upon compactification, perhaps along the lines suggested in [75].…”

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.

Self Cite

107

View full text Add to dashboard Cite

show abstract

“…One complication is that due to the reduced amount of supersymmetry, any such theory will be subject to more quantum corrections than their (2, 0) counterparts. Nevertheless, it is still possible to extract some data for the 4d theories obtained from compactification, as in references [26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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

Apruzzi¹,

Haßler²,

Heckman³

et al. 2017

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

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. *

show abstract

“…3 (It is true however that such embeddings have been very fruitful. For instance, they allow us to classify six-dimensional theories [29] and, partially, their compactifications [39][40][41][42][43][44]; compute quantities such as dimensions of moduli spaces [32], defect and autmorphism groups [45,46]; determine RG flows and their hierarchy [47,48] and the global symmetries [28,49,50]; compute anomalies from the six-dimensional anomaly polynomial [51]. )…”

Section: Jhep01(2018)124mentioning

confidence: 99%

“…Notice that r N −R+1 is the image of r L−1 under (C.19) with i = L. 45 Notice that in [1, section 4.3] it is said that the contribution from the right region can be found by sending y0 → yN . This is a typo, and the correct substitution should be y0 → −yN , as in (C.19).…”

Section: Jhep01(2018)124mentioning

confidence: 99%

AdS7/CFT6 with orientifolds

Apruzzi

Fazzi

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

AdS 7 solutions of massive type IIA have been classified, and are dual to a large class of six-dimensional (1, 0) SCFT's whose tensor branch deformations are described by linear quivers of SU groups. Quivers and AdS vacua depend solely on the group theory data of the NS5-D6-D8 brane configurations engineering the field theories. This has allowed for a direct holographic match of their a conformal anomaly. In this paper we extend the match to cases where O6 and O8-planes are present, thereby introducing SO and USp groups in the quivers. In all of them we show that the a anomaly computed in supergravity agrees with the holographic limit of the exact field theory result, which we extract from the anomaly polynomial. As a byproduct we construct special AdS 7 vacua dual to nonperturbative F-theory configurations. Finally, we propose a holographic a-theorem for six-dimensional Higgs branch RG flows.

show abstract

On the Defect Group of a 6D SCFT

Cited by 130 publications

References 66 publications

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

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

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

AdS7/CFT6 with orientifolds

Contact Info

Product

Resources

About