Magnetic quivers, Higgs branches, and 6d $N$=(1,0) theories

Cabrera, Santiago; Hanany, Amihay; Sperling, Marcus

doi:10.1007/JHEP06(2019)071

Magnetic quivers, Higgs branches, and 6d $N$ =(1,0) theories

Apr 28, 2019

47 pages

Published in:

JHEP 06 (2019) 071,
JHEP 07 (2019) 137 (erratum)

Published: Jun 14, 2019

e-Print:

1904.12293 [hep-th]

DOI:

10.1007/JHEP06(2019)071,
10.1007/JHEP07(2019)137 (erratum)

Report number:

Imperial/TP/19/AH/01

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Abstract: (Springer)

The physics of M5 branes placed near an M9 plane on an A-type ALE singularity exhibits a variety of phenomena that introduce additional massless degrees of freedom. There are tensionless strings whenever two M5 branes coincide or whenever an M5 brane approaches the M9 plane. These systems do not admit a low-energy Lagrangian description so new techniques are desirable to shed light on the physics of these phenomena. The 6-dimensional

\mathcal{N} = \left(1,\kern0.5em 0\right)

world-volume theory on the M5 branes is composed of massless vector, tensor, and hyper multiplets, and has two branches of the vacuum moduli space where either the scalar fields in the tensor or hyper multiplets receive vacuum expectation values. Focusing on the Higgs branch of the low-energy theory, previous works suggest the conjecture that a new Higgs branch arises whenever a BPS-string becomes tensionless. Consequently, a single theory admits a multitude of Higgs branches depending on the types of tensionless strings in the spectrum. The two main phenomena discrete gauging and small E

_{8}

instanton transition can be treated in a concise and effective manner by means of Coulomb branches of 3-dimensional

\mathcal{N} = 4

gauge theories. In this paper, a formalism is introduced that allows to derive a novel object from a brane configuration, called the magnetic quiver. The main features are as follows: (i) the 3d Coulomb branch of the magnetic quiver yields the Higgs branch of the 6d system, (ii) all discrete gauging and E

_{8}

instanton transitions have an explicit brane realisation, and (iii) exceptional symmetries arise directly from brane configurations. The formalism facilitates the description of Higgs branches at finite and infinite gauge coupling as spaces of dressed monopole operators.

Note:

v2: 47 pages, 3 tables

Brane Dynamics in Gauge Theories
D-branes
Extended Supersymmetry
Supersymmetric Gauge Theory
instanton: transition
monopole: operator
coupling: gauge
field theory: scalar
membrane model
quiver

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