Abstract
We investigate the creation of a brane world with a bulk scalar field. We consider anexponential potential of a bulk scalar field: , where β is the parameter of the theory. This model is based on asupersymmetric theory, and includes the Randall–Sundrum model(β = 0) and the five-dimensional effective model of the Horva–Witten theory(β = 1). We show that for this potential a brane instanton is constructed onlywhen the curvature of a brane vanishes, that is, the brane is flat. Weconstruct an instanton with two branes and a singular instanton with a singlebrane. The Euclidean action of the singular instanton solution is finite ifβ2>2/3. We also calculate perturbations of the action around a singular instanton solution in orderto show that the singular instanton is well defined.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
