F-string, NS5-brane & D-string

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SUMMARY

The discussion centers on the relationship between fundamental strings (F-strings), NS5-branes, and extremal p-branes within the context of supergravity (SUGRA) and Yang-Mills (YM) theories. It is established that F-strings are solitonic solutions of SUGRA-YM equations coupled with the NS-NS 2-form (B-field), while D-strings are solutions involving R-R 2-form couplings. The distinction is made that F-strings and NS5-branes are elevated to fundamental constructs in string theory, whereas D-strings correspond to D1-branes. The implications of these relationships in heterotic string theories, which are closed string theories, are also discussed.

PREREQUISITES
  • Understanding of supergravity (SUGRA) and Yang-Mills (YM) theories
  • Familiarity with string theory concepts, including F-strings and D-branes
  • Knowledge of NS-NS and R-R 2-form couplings
  • Basic grasp of extremal p-branes and their classifications
NEXT STEPS
  • Research the properties and implications of F-strings in string theory
  • Study the role of NS5-branes in supergravity and their interactions
  • Explore the mathematical framework of extremal p-branes and their solutions
  • Investigate the characteristics of heterotic string theories and their closed string nature
USEFUL FOR

The discussion is beneficial for theoretical physicists, string theorists, and researchers focusing on the intersections of supergravity, string theory, and brane dynamics.

crackjack
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Is the fundamental string (F-string) same as an extremal 1-brane solution of su-gra-YM?
Can the same be said for the fundamental fivebrane (NS5-brane) and 5-brane?
Also, what kind of solution is a D-string?
 
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As a follow-up:

If F-strings & NS5-brane are different from extremal p-branes, then when p-branes are identified with as fundamental a construct as D-branes, how are F-strings & NS5-branes elevated?

If F-strings & NS5-brane are not different from extremal p-branes, what can we make out of these brane solutions in heterotic sugra when heterotic string theories are closed string theories (no open strings -> no branes to end on).
 
I asked around and got the following answer:

F-string is the solitonic solution of SUGRA-YM equations coupled to the NS-NS 2-form (B-field), whereas D-string are solutions of equations with R-R 2-form couplings.
F-strings are elevated to the normal strings of string theory, whereas D-strings are the D1-branes.
 

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