What Are N-Dimensional Objects in Superstring Theories?

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SUMMARY

N-dimensional objects in superstring theories, known as N-branes, extend the concept of one-dimensional strings. D-branes, discovered by Joe Polchinski in the mid-1990s, are a specific type of N-brane characterized by Dirichlet boundary conditions for string endpoints. P-branes, initially studied by Ed Witten, are related to supergravity and are described by specific spacetime metrics. The fluctuations of D-branes represent stringy excitations, while p-branes involve quantum field fluctuations, highlighting the distinction between electric and magnetic branes in string theory.

PREREQUISITES
  • Understanding of superstring theory fundamentals
  • Familiarity with the concepts of D-branes and P-branes
  • Knowledge of Dirichlet boundary conditions
  • Basic grasp of spacetime metrics in theoretical physics
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  • Research the mathematical formulation of Dp-branes and their Lagrangian
  • Explore the implications of electric versus magnetic branes in string theory
  • Study the historical context of p-brane discoveries by Hughes, Liu, and Polchinski
  • Investigate the role of supergravity in the context of string theory
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The discussion is beneficial for theoretical physicists, string theorists, and advanced students interested in the complexities of superstring theories and the role of branes in modern physics.

MathematicalPhysicist
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Superstring theories attest that the building block is a one dimensional object, a string, now I wonder why stop there, why not two dimensional objects?
 
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N dimensional objects are called N-branes.
 
How does it differ from d-branes, and how many types of branes are there?
 
I've read of p branes and d branes.

d branes are the ones discovered by Joe Polchinsky in the mid 1990's. I think I've read these are called Dirichlet branes

p branes are the type discovered by Ed Witten and strings I think are one dimensional versions of these...

Try this for an overview: http://en.wikipedia.org/wiki/P-branes

got to go...
 
P-branes are objects in supergravity and were studied first. They are described by a specific form of the spacetime metric and other background fields in the theory. You can consider them in string theories that have the supergravity theory as a low energy limit. D-branes are p-branes further adapted to the string framework. The "D" stands for "Dirichlet boundary conditions" for the string endpoints on the branes. The fluctuations of the D-branes are considered to be stringy excitations on the brane in contrast to sugra p-branes with (quantum) field fluctuations.

Bergshoeff, Sezgin and Townsend (Phys. Lett. 189B, 1986) first considered p-branes based on observations of Hughes, Liu and Polchinski (Phys Lett B180 1986).

Fundamental strings of string theory are a specific type of 1-brane, "electric", while magnetic 1-branes are solitonic solutions to a given theory. (This is a general thing: An electric 0,1,2,...-brane is not a true solution to a set of equations of motion; rather, they are objects coupling to a singular "solution" of the theory. On the other hand, magnetic branes are true solutions to the equations of motion.
 
MathematicalPhysicist said:
Superstring theories attest that the building block is a one dimensional object, a string, now I wonder why stop there, why not two dimensional objects?

Those are the branes... Isn't it?

Look at the Lagrangian of Dp-branes, those are just the generalization of the Nambu-Goto action of the strings.
 

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