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JHEP, 12, 081 (2025)

Instanton moduli, topology and the bosonic/heterotic string origins

Liang Ma1 and Hong Lu1,2 

1 Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.

2 Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China.

mrhonglu@gmail.com

Abstract

We construct new supersymmetric NS(-1)-branes supported by the SU(2)×SU(2) ’t Hooft instantons in N = 1, D = 4 supergravity. We show that although the magnetic 3-form string flux is invariant under the variations of instanton moduli, the string-frame metric can change topology, giving rise to either R4 or the new R × S3 bolt topologies. We uplift these solutions to both heterotic and bosonic strings, where the instanton moduli become purely geometric parameters. We find that the Killing spinors exist in both theories and their transformation from one theory to the other is consistent with the recently proposed bosonic/heterotic string duality. Furthermore, we construct new BPS solutions in the D = 6 Salam-Sezgin model, employing the techniques developed in the paper.

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天津大学理学院 量子交叉研究中心   地址:天津津南区 雅观路135号 天津大学北洋园校区32楼146 
Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China