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In string theory, D-branes, short for Dirichlet membrane, are a class of extended objects upon which open strings can end with Dirichlet boundary conditions, after which they are named. D-branes are typically classified by their spatial dimension, which is indicated by a number written after the D.
Open strings attached to a pair of D-branes. In string theory, a string may be open (forming a segment with two endpoints) or closed (forming a closed loop). D-branes are an important class of branes that arise when one considers open strings. As an open string propagates through spacetime, its endpoints are required to lie on a D-brane.
One of the earliest documented attempts to apply brane cosmology as part of a conceptual theory is dated to 1983. [ 5 ] The authors discussed the possibility that the Universe has ( 3 + N ) + 1 {\displaystyle (3+N)+1} dimensions, but ordinary particles are confined in a potential well which is narrow along N {\displaystyle N} spatial directions ...
Their calculation was based on the observation that D-branes—which look like fluctuating membranes when they are weakly interacting—become dense, massive objects with event horizons when the interactions are strong. In other words, a system of strongly interacting D-branes in string theory is indistinguishable from a black hole.
Note that in the type IIA and type IIB string theories closed strings are allowed to move everywhere throughout the ten-dimensional space-time (called the bulk), while open strings have their ends attached to D-branes, which are membranes of lower dimensionality (their dimension is odd - 1,3,5,7 or 9 - in type IIA and even - 0,2,4,6 or 8 - in type IIB, including the time direction).
Polchinski wrote the two-volume textbook String Theory, published in 1998. Among his many contributions to theoretical physics, D-branes are the best known. In 2008 he won the Dirac Medal for his work in superstring theory. [9] He was awarded the 2017 Breakthrough Prize in Fundamental Physics in recognition of his contributions to theoretical ...
D-branes are membrane-like objects in 10D string theory. They can be thought of as occurring as a result of a Kaluza–Klein compactification of 11D M-theory that contains membranes. Because compactification of a geometric theory produces extra vector fields the D-branes can be included in the action by adding an extra U(1) vector field to the ...
In this string theory open strings must satisfy Dirichlet boundary conditions on their endpoints. These conditions require that the end points of the string lie on so-called D-branes (D for Dirichlet), and there is much mathematical interest in describing these branes. Open strings with endpoints fixed on D-branes