From its humble beginning as a
theory that predicted the existence of gravitons, String Theory has evolved
into what some physicists hope to be the Theory of Everything. To date, it is expected to supply
computable answers to some of the biggest questions on the minds of
physicists today: the underlying symmetries of nature, the quantum behavior
of black holes, the existence and breaking of supersymmetry, and the
quantum treatment of singularities.
The
fundamental premise of string theory is that all fundamental particles are
made up of Planck length strings, which can be open or closed. As these
strings move through spacetime, they are supposed to sweep out a
worldsheet, a surface which is used to describe the interactions between
strings. The key property of these strings is that they vibrate: different
vibrational modes can be used to describe the mass, spin and charge of
particles, which is why so many people love the theory. As long as you can
make the string move in enough directions, every property of every particle
can be adequately described. The problem is that in order to make the
string move in enough directions, there must be enough dimensions for the
string to move in, several beyond our own three (plus time). Various kinds of boundary conditions in strings add
yet another aspect of versatility to String Theory: strings can be periodic
(closed) or open; of the open strings, a Neumann boundary condition
describes a string whose endpoint is free to move, but can not transform
momentum. A Dirichlet boundary condition describes a string which has one
end attached to a manifold brane, on which it can move. The manifold is
called a D-brane or Dp-brane (where ‘p’ is the integer number of spatial dimensions
of the manifold). When p=0, all of the spatial coordinates are fixed at a
single point in space- the D0-brane is called a D-particle. Superstrings
exist in 10 dimensional spacetime: its Dirichlet boundary condition would
describe a string attached to a D-9 brane: its end could move through 9
spatial dimensions. The case where p=-1 describes a state in which all
space and time coordinates are fixed- an instanton or D-instanton.
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