Imperial College London

Amihay Hanany

Faculty of Natural SciencesDepartment of Physics

Professor of Theoretical Physics



+44 (0)20 7594 3634a.hanany




611Huxley BuildingSouth Kensington Campus






BibTex format

author = {Hanany, A and Mekareeya, N},
doi = {10.1007/JHEP07(2018)098},
journal = {Journal of High Energy Physics},
title = {The small E-8 instanton and the Kraft Procesi transition},
url = {},
volume = {2018},
year = {2018}

RIS format (EndNote, RefMan)

AB - One of the simplest (1, 0) supersymmetric theories in six dimensions lives on the world volume of one M5 brane at a D type singularity 2/Dk. The low energy theory is given by an SQCD theory with Sp(k − 4) gauge group, a precise number of 2k flavors which is anomaly free, and a scale which is set by the inverse gauge coupling. The Higgs branch at finite coupling is a closure of a nilpotent orbit of D2k and develops many more flat directions as the inverse gauge coupling is set to zero (violating a standard lore that wrongly claims the Higgs branch remains classical). The quaternionic dimension grows by 29 for any k and the Higgs branch stops being a closure of a nilpotent orbit for k > 4, with an exception of k = 4 where it becomes min 8¯, the closure of the minimal nilpotent orbit of E8, thus having a rare phenomenon of flavor symmetry enhancement in six dimensions. Geometrically, the natural inclusion of ⊂∞ fits into the Brieskorn Slodowy theory of transverse slices, and the transverse slice is computed to be min 8¯ for any k > 3. This is identified with the well known small E8 instanton transition where 1 tensor multiplet is traded with 29 hypermultiplets, thus giving a physical interpretation to the geometric theory. By the analogy with the classical case, we call this the Kraft Procesi transition.
AU - Hanany,A
AU - Mekareeya,N
DO - 10.1007/JHEP07(2018)098
PY - 2018///
SN - 1029-8479
TI - The small E-8 instanton and the Kraft Procesi transition
T2 - Journal of High Energy Physics
UR -
UR -
UR -
VL - 2018
ER -