(0,2) dynamics from four dimensions

We discuss reductions of general N = 1 four dimensional gauge theories on S 2 . The effective two dimensional theory one obtains depends on the details of the coupling of the theory to background fields, which can be translated to a choice of R-symmetry. We argue that, for special choices of R-symmetry, the resulting two dimensional theory has a natural interpretation as an N = (0, 2) gauge theory. As an application of our general observations, we discuss reductions of N = 1 and N = 2 dualities and argue that they imply certain two dimensional dualities.

Section: Su(n C ) Dualitiesmentioning

confidence: 99%

On the reduction of 4d N = 1 $$ \mathcal{N}=1 $$ theories on S 2 $$ {\mathbb{S}}^2 $$

Gadde

Razamat

Willett

2015

“…This has been explored to some extent in certain cases such as references [12][13][14][15]. As a final motivation, there is also an intriguing connection between the supersymmetric quantum mechanics of M-theory on a (non-singular) K3-fibered Calabi-Yau fivefold and refined Gromov-Witten invariants of the base Calabi-Yau threefold [16] (see also [17]).…”

Section: Jhep07(2016)045mentioning

confidence: 99%

“…The non-vanishing anomaly indicates that there must be additional degrees of freedom present in the model. These are readily accounted for in the type I picture by introducing 13 The −2 factor in the square bracket subtracts off h…”

Section: Spin(32)/z 2 Modelsmentioning

confidence: 99%

UV completions for non-critical strings

Apruzzi

Haßler

Heckman

et al. 2016

104

Compactifications of the physical superstring to two dimensions provide a general template for realizing 2D conformal field theories coupled to worldsheet gravity, i.e. non-critical string theories. Motivated by this observation, in this paper we determine the quasi-topological 8D theory which governs the vacua of 2D N = (0, 2) gauged linear sigma models (GLSMs) obtained from compactifications of type I and heterotic strings on a Calabi-Yau fourfold. We also determine the quasi-topological 6D theory governing the 2D vacua of intersecting 7-branes in compactifications of F-theory on an elliptically fibered Calabi-Yau fivefold, where matter fields and interaction terms localize on lowerdimensional subspaces, i.e. defect operators. To cancel anomalies / cancel tadpoles, these GLSMs must couple to additional chiral sectors, which in some cases do not admit a known description in terms of a UV GLSM. Additionally, we find that constructing an anomaly free spectrum can sometimes break supersymmetry due to spacetime filling anti-branes. We also study various canonical examples such as the standard embedding of heterotic strings on a Calabi-Yau fourfold and F-theoretic "rigid clusters" with no local deformation moduli of the elliptic fibration.

“…These flow solutions might be difficult to construct explicitly, however, because unlike the case we have considered in this paper, there is not a known consistent KK truncation on Y p,q analogous to the one on T 1,1 . These solutions would relate four dimensional superconformal field theories to two-dimensional superconformal field theories with (0, 2) supersymmetry, complementing other such examples [19,[21][22][23][24][25][50][51][52][53].…”

Section: Jhep08(2014)006mentioning

confidence: 99%

Flowing from AdS5 to AdS3 with T 1,1

Donos

Gauntlett

2014

We construct supersymmetric domain wall solutions of type IIB supergravity that interpolate between AdS 5 × T 1,1 in the UV and AdS 3 × R 2 × S 2 × S 3 solutions in the IR. The R 2 factor can be replaced with a two-torus and then the solution describes a supersymmetric flow across dimensions, similar to wrapped brane solutions. While the domain wall solutions preserve (0, 2) supersymmetry, the AdS 3 solutions in the IR have an enhanced (4, 2) superconformal supersymmetry and are related by two T-dualities to the AdS 3 × S 3 × S 3 × S 1 type IIB solutions which preserve a large (4, 4) superconformal supersymmetry. The domain wall solutions exist within the N = 4 D = 5 gauged supergravity theory that is obtained from a consistent Kaluza-Klein truncation of type IIB supergravity on T 1,1 ; a feature driving the flows is that two D = 5 axion like fields, residing in the N = 4 Betti multiplet, depend linearly on the two legs of the R 2 factor.