TAILIEUCHUNG - Ebook A first course in string theory (2nd edition): Part 2

(BQ) Part 2 book "A first course in string theory" has contents: D-branes and gauge fields, string charge and electric charge, T-duality of closed strings, T-duality of open strings, electromagnetic fields on D-branes, string theory and particle physics, string thermodynamics and black holes,.and other contents. | P A R T II DEVELOPMENTS 15 D-branes and gauge fields The open strings we have studied so far were described by coordinates all of which satisfy Neumann boundary conditions. These open strings move on the world-volume of a space-filling D25-brane. Here we quantize open strings attached to more general D-branes. We begin with the case of a single D p-brane, with 1 ≤ p < 25. We then turn to the case of multiple parallel D p-branes, where we see the appearance of interacting gauge fields and the possibility of massive gauge fields. We continue with the case of parallel D-branes of different dimensionalities. Dp-branes and boundary conditions A Dp-brane is an extended object with p spatial dimensions. In bosonic string theory, where the number of spatial dimensions is 25, a D25-brane is a space-filling brane. The letter D in Dp-brane stands for Dirichlet. In the presence of a D-brane, the endpoints of open strings must lie on the brane. As we will see in more detail below, this requirement imposes a number of Dirichlet boundary conditions on the motion of the open string endpoints. Not all extended objects in string theory are D-branes. Strings, for example, are 1-branes because they are extended objects with one spatial dimension, but they are not D1-branes. Branes with p spatial dimensions are generically called p-branes. A 0-brane is some kind of particle. Just as the world-line of a particle is one-dimensional, the world-volume of a p-brane is ( p + 1)-dimensional. Of these p + 1 dimensions, one is the time dimension and the other p are spatial dimensions. We first discussed the concept of D-branes in Section . In addition, Problem examined the classical motion of open strings ending on D-branes of various dimensionalities. Our main subject in the present chapter is the quantization of open strings in the presence of various kinds of D-branes. This is a rich subject with important implications for the problem of constructing realistic physical models

• Toán học
• A first course in string theory
• T duality of open strings
• Electromagnetic fields
• String thermodynamics
• Black holes
• Particle physics
• Covariant string quantization
• A brief introduction
• Special relativity
• Extra dimensions
• Gravitation in various dimensions
• Various dimensions
• Relativistic strings