Contents

# Contents

## Idea

super Yang-Mills theory on a 4-dimensional spacetime with $N = 1$ supersymmetry.

$d$$N$superconformal super Lie algebraR-symmetryblack brane worldvolume
superconformal field theory
$\phantom{A}3\phantom{A}$$\phantom{A}2k+1\phantom{A}$$\phantom{A}B(k,2) \simeq$ osp$(2k+1/4)\phantom{A}$$\phantom{A}SO(2k+1)\phantom{A}$
$\phantom{A}3\phantom{A}$$\phantom{A}2k\phantom{A}$$\phantom{A}D(k,2)\simeq$ osp$(2k/4)\phantom{A}$$\phantom{A}SO(2k)\phantom{A}$M2-brane
3d superconformal gauge field theory
$\phantom{A}4\phantom{A}$$\phantom{A}k+1\phantom{A}$$\phantom{A}A(3,k)\simeq \mathfrak{sl}(4/k+1)\phantom{A}$$\phantom{A}U(k+1)\phantom{A}$D3-brane
4d superconformal gauge field theory
$\phantom{A}5\phantom{A}$$\phantom{A}1\phantom{A}$$\phantom{A}F(4)\phantom{A}$$\phantom{A}SO(3)\phantom{A}$
$\phantom{A}6\phantom{A}$$\phantom{A}k\phantom{A}$$\phantom{A}D(4,k) \simeq$ osp$(8/2k)\phantom{A}$$\phantom{A}Sp(k)\phantom{A}$M5-brane
6d superconformal gauge field theory

(Shnider 88, also Nahm 78, see Minwalla 98, section 4.2)

## References

• Yuji Tachikawa, Lectures on $4d$ $N=1$ dynamics and related topics (arXiv:1812.08946)

Construction by KK-reduction of the 6d (2,0)-superconformal QFT on the M5-brane on a Riemann surface is in

• Ibrahima Bah, Christopher Beem, Nikolay Bobev, Brian Wecht, Four-Dimensional SCFTs from M5-Branes (arXiv:1203.0303)

For more along these lines see at N=2 D=4 super Yang-Mills theory.

Last revised on December 26, 2018 at 16:54:48. See the history of this page for a list of all contributions to it.