Localized modes at a D-brane--O-plane intersection and heterotic Alice strings

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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44 pages, typos corrected, version published in JHEP

Scientific paper

10.1088/1126-6708/2008/04/018

We study a system of $N_c$ $D3$-branes intersecting $D7$-branes and $O7$-planes in 1+1-dimensions. We use anomaly cancellation and string dualities to argue that there must be chiral fermion zero-modes on the $D3$-branes which are localized near the $O7$-planes. Away from the orientifold limit we verify this by using index theory as well as explicit construction of the zero-modes. This system is related to F-theory on K3 and heterotic matrix string theory, and the heterotic strings are related to Alice string defects in $\mathcal{N}=4$ Super-Yang-Mills. In the limit of large $N_c$ we find an $AdS_3$ dual of the heterotic matrix string CFT.

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