What is the meaning of BPS D-branes ?

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Discussion Overview

The discussion revolves around the concept of BPS D-branes within the context of string theory, specifically focusing on their properties as BPS states and their relation to BPS multiplets. Participants explore the implications of D-branes being BPS states and seek clarification on which specific states of the BPS multiplet correspond to parallel D-branes in a flat ten-dimensional space.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants assert that a state of D-branes placed in flat ten-dimensional space is a BPS state because certain supercharges remain unbroken.
  • There is a claim that every BPS state is a member of a BPS multiplet, prompting questions about which specific state corresponds to parallel D-branes.
  • One participant defines a "BPS State" as a solution to field equations that preserves some, but not all, supersymmetries, suggesting that branes are BPS solutions under this definition.
  • Another participant suggests that the BPS multiplet corresponds to actions on the stack of branes using unbroken supersymmetry transformations, potentially leading to translations and rotations of the stack.

Areas of Agreement / Disagreement

Participants express similar foundational views regarding BPS states and their relation to supersymmetry, but there is no consensus on the specific state of the BPS multiplet that corresponds to parallel D-branes. The discussion remains unresolved regarding this specific identification.

chongchong
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What is the meaning of "BPS D-branes"?

I often read the statement like the following;

"A state of D-branes parallely pleced in flat 10 dim space is a BPS state, because some of superchages remain unbroken."


I think that every "BPS state" is one member(state) of a certain BPS multiplet.
So my question is:

Which state of the BPS multiplet dose a state of parallely pleced D-branes correspond to?
 
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chongchong said:
I often read the statement like the following;

"A state of D-branes parallely pleced in flat 10 dim space is a BPS state, because some of superchages remain unbroken."


I think that every "BPS state" is one member(state) of a certain BPS multiplet.
So my question is:

Which state of the BPS multiplet dose a state of parallely pleced D-branes correspond to?

A "BPS State" is a solution to the field equations that preserves some (but not all) of the supersymmetries of the field equations. Branes are BPS solutions of the supergravity equations under this definition, and that is why you see statements like the one you quoted.

The "BPS Multiplet" you are referring to would correspond to what you get if you act on the stack of branes with one of the unbroken supersymmetry transformations. This would probably give you things like translations and rotations of the stack, etc.
 


Thank!

chongchong said:
I often read the statement like the following;

"A state of D-branes parallely pleced in flat 10 dim space is a BPS state, because some of superchages remain unbroken."


I think that every "BPS state" is one member(state) of a certain BPS multiplet.
So my question is:

Which state of the BPS multiplet dose a state of parallely pleced D-branes correspond to?
 


The "BPS Multiplet" you are referring to would correspond to what you get if you act on the stack of branes with one of the unbroken supersymmetry transformations. This would probably give you things like translations and rotations of the stack, etc.
 

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