Instanton operators and symmetry enhancement in 5D supersymmetric gauge theories

6d SCFTs compactified on a circle can often be studied from nonperturbative 5d super-Yang-Mills theories, using instanton solitons. However, the 5d Yang-Mills theories with 6d UV fixed points frequently have too many hypermultiplet matters, which makes it difficult to use the ADHM techniques for instantons. With the examples of 6d N = (1, 0) SCFTs with Sp(N ) gauge symmetry and 2N + 8 fundamental hypermultiplets, we show that one can still make rigorous studies of these 5d-6d relations in the 'fractional D-brane sectors'. We test the recently proposed 5d duals given by Sp(N + 1) gauge theories, and compare their instanton partition functions with the elliptic genera of 6d self-dual strings.

Section: Resultsmentioning

confidence: 99%

“…Instantons in the 5d gauge theories play important roles in studying 5d and 6d SCFTs [9][10][11]. In particular, for 5d gauge theories having 6d UV fixed points, instantons are Kaluza-Klein momenta on the compactified circle.…”

Section: Introductionmentioning

confidence: 99%

Testing 5d-6d dualities with fractional D-branes

Yun

2016

“…The case of SU(N ) with matter in the fundamental was studied already in [53] and later in [29], which also discussed antisymmetric matter. Yet, to our knowledge, a complete analysis of the case of SU(N ) + 2AS + N f F was not done, even though the building blocks are in essence already known.…”

Section: Jhep12(2015)157mentioning

confidence: 99%

“…By either doing the decomposition, or simply burrowing the results of [53], we find the zero modes spectrum given in table 1. The full spectrum is now given by acting with these operators on the ground state, |0 , whose charges are:…”

Section: Jhep12(2015)157mentioning

confidence: 99%

Brane webs, 5d gauge theories and 6d N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ SCFT’s

Zafrir

2015

130

Abstract:We study 5d gauge theories that go in the UV to 6d N = (1, 0) SCFT. We focus on these theories that can be engineered in string theory by brane webs. Given a theory in this class, we propose a method to determine the 6d SCFT it goes to. We also discuss the implication of this to the compactification of the resulting 6d SCFT on a torus to 4d. We test and demonstrate this method with a variety of examples.

“…3 As a matter of fact it is possible to see that the enhancement of the flavour symmetry already happens at the level of the Nekrasov partition function after a suitable shift of the Coulomb branch moduli [23]. 4 References [29,30] discuss the enhancement of the global symmetry from the viewpoint of fermionic zero modes around one-instanton operators. 5 A different approach was taken in [31,32] to compute unrefined topological string amplitudes for certain non-toric geometries.…”

Section: Jhep09(2015)023mentioning

confidence: 99%

Topological vertex for Higgsed 5d T N theories

Hayashi

Zoccarato

2015

Abstract:We analyse the computation of the partition function of 5d T N theories in Higgs branches using the topological vertex. The theories are realised by a web of (p, q) 5-branes whose dual description may be given by an M-theory compactification on a certain local non-toric Calabi-Yau threefold. We explicitly show how it is possible to directly apply the topological vertex to the non-toric geometry. Using this novel technique, which considerably simplifies the computation by the existing method, we are able to compute the partition function of the higher rank E 6 , E 7 and E 8 theories. Moreover we show how in some specific cases similar results can be extended to the computation of the partition function of 5d T N theories in the Higgs branch using the refined topological vertex. These cases require a modification of the refined topological vertex.