D-Branes
Another key feature of string
theory is the existence of D-branes. These are membranes of different
dimensionality (anywhere from a zero dimensional membrane—which is in fact a
point—and up, including 2-dimensional membranes, 3-dimensional volumes, and so
on).
D-branes are defined by the fact
that worldsheet boundaries are
attached to them. D-branes have mass, since they emit and absorb closed strings
that describe gravitons, and — in superstring theories — charge as well, since they couple to open strings that describe gauge
interactions.
From the point of view of open
strings, D-branes are objects to which the ends of open strings are attached.
The open strings attached to a D-brane are said to "live" on it, and
they give rise to gauge
theories "living"
on it (since one of the open string modes is a gauge
boson such as
the photon). In the case of one D-brane there will be one type of a gauge boson
and we will have an Abelian gauge
theory (with the gauge boson being the photon). If
there are multiple parallel D-branes there will be multiple types of gauge
bosons, giving rise to a non-Abelian gauge
theory.
D-branes are thus gravitational
sources, on which a gauge theory "lives". This gauge theory is coupled to gravity (which is said to exist in the bulk),
so that normally each of these two viewpoints is incomplete
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