N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2

TL;DR

This paper explores how N=1/2 super Yang-Mills theory can be realized on Euclidean AdS2xS2 with a graviphoton background, restoring half supersymmetry in a specific limit, and highlights the importance of certain terms in the action.

Contribution

It demonstrates the conditions under which N=1/2 SYM can be embedded in Euclidean AdS2xS2 while preserving supersymmetry, extending flat space results.

Findings

Half supersymmetry can be restored in a specific limit.

The N=1/2 SYM Lagrangian can be lifted to Euclidean AdS2xS2.

C-dependent terms are essential for the lift.

Abstract

We study D-branes in the background of Euclidean AdS2xS2 with a graviphoton field turned on. As the background is not Ricci flat, the graviphoton field must have both self-dual and antiself-dual parts. This, in general, will break all the supersymmetries on the brane. However, we show that there exists a limit for which one can restore half of the supersymmetries. Further, we show that in this limit, the N=1/2 SYM Lagrangian on flat space can be lifted on to the Euclidean AdS2xS2 preserving the same amount of supersymmetries as in the flat case. We observe that without the C-dependent terms present in the action this lift is not possible.