Andreas Gustavsson

Monopoles, three-algebras and ABJM theories with \( \mathcal{N} = 5,6,8 \) supersymmetry

We extend the hermitian three-algebra formulation of ABJM theory to include U(1) factors. With attention payed to extra U(1) factors, we refine the classification of

M5/D4 brane partition function on a circle bundle

\mathcal{N} = 6

A preliminary test of Abelian D4–M5 duality

ABJM theories. We argue that essentially the only allowed gauge groups are SU(N) × SU(N), U(N) × U(M) and Sp(N) × U(1) and that we have only one independent Chern-Simons level in all these cases. Our argument is based on integrality of the U(1) Chern-Simons levels and supersymmetry. A relation between monopole operators and Wilson lines in Chern-Simons theory suggests certain gauge representations of the monopole operators. From this we classify cases where we can not expect enhanced

Deconstructing graviphoton from mass-deformed ABJM

\mathcal{N} = 8

M5 brane on {\mathbb{R}^{{{1},{2}}}} \times {S^3}

supersymmetry. We also show that there are two equivalent formulations of

An associative star-three-product and applications to M two/M five-brane theory

\mathcal{N} = 5

One dyonic instanton in 5d maximal SYM theory

ABJM theories, based on hermitian three-algebra and quaternionic three-algebra respectively. We suggest properties of monopoles in

Five-dimensional super Yang-Mills theory from ABJM theory

\mathcal{N} = 5

Elliptic genera of monopole strings

theories and show how these monopoles may enhance supersymmetry from

The geometric Langlands twist in five and six dimensions

\mathcal{N} = 5