An × Bundle Over And new Supergravity Solutions
Ali Imaanpur (Department of Physics, School of Sciences, Tarbiat Modares University, P.O.Box 14155-4838, Tehran, Iran)
The metric of can be written as an -instanton bundle over . It is also possible to write it differently as an anti-instanton bundle. We use this observation to construct an instanton–anti-instanton, , bundle over . We show that this 10d manifold admits two Einstein metrics. We then rewrite the metric to isolate two directions of the fibre and dimensionally reduce along them to get an eight dimensional metric describing an bundle over . This metric allows a harmonic 4-form which we use to derive new supergravity solutions in eleven and ten dimensions as and , respectively.