Can the 5 brane of M theory turn into a 1 string?

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Discussion Overview

The discussion centers on the relationship between 5-branes and fundamental strings within the context of M-theory, exploring whether a 5-brane can transform into a fundamental string. The scope includes theoretical aspects of M-theory, compactifications, and dualities, as well as implications for string theory.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that in certain M-theory compactifications, a 5-brane can wrap around compact dimensions to behave like a string when those dimensions are very small.
  • There is mention of S-duality, which may allow for the identification of a wrapped 5-brane with a fundamental string in a dual theory.
  • One participant questions whether an open string can attach its endpoints to an M5-brane when an M2-brane is wrapped tightly around circular dimensions.
  • Another participant asserts that M-theory on a circle is dual to IIA string theory, suggesting that a string ending on a D4-brane corresponds to an M2-brane ending on an M5-brane, indicating a potential attachment.
  • A reference is provided to support the claim regarding the attachment of M2-branes to M5-branes, but the validity of this reference is not universally accepted in the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the transformation of 5-branes into strings and the conditions under which this occurs. There is no consensus on the specifics of the attachment of strings to M5-branes, and the discussion remains unresolved.

Contextual Notes

The discussion includes assumptions about the nature of compactifications and dualities that are not fully explored. The implications of these assumptions on the claims made are not clarified.

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Can the 5brane turn into a fundamental string?
 
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There are M-theory compactifications where the 5-brane can wrap 4 compact directions to give an object that is effectively a string in the limit where the size of the compact directions is very small. S-duality on these compactifications will switch the membrane and 5-brane so could lead to the identification of a wrapped 5-brane with the fundamental string in some dual theory.
 
fzero said:
There are M-theory compactifications where the 5-brane can wrap 4 compact directions to give an object that is effectively a string in the limit where the size of the compact directions is very small. S-duality on these compactifications will switch the membrane and 5-brane so could lead to the identification of a wrapped 5-brane with the fundamental string in some dual theory.
Ok, consider the following...
In M theory, the elementary string that creates all particles is formed when an M2 brane is wrapped tightly around the circular dimensions. Now, when the M2 turns into a string, can the string that is open (with end points) attach its end points to an M5 brane? I have read in only few sources that they can
 
Nav said:
Ok, consider the following...
In M theory, the elementary string that creates all particles is formed when an M2 brane is wrapped tightly around the circular dimensions. Now, when the M2 turns into a string, can the string that is open (with end points) attach its end points to an M5 brane? I have read in only few sources that they can

Yes, M-theory on a circle is dual to the IIA string theory. The wrapped M2-brane is identified with the fundamental string and the wrapped M5-brane is identified with a D4-brane. So a string ending on a D4-brane is identified with an M2-brane ending on an M5-brane. So we learn that, even in 11d, an M2-brane can attach to an M5-brane. The reference http://arxiv.org/abs/hep-th/0412310 describes a solution for this system.
 

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