1. What does it mean that a M5-branes wraps a holomorphic curve in M-theory? In specific a lot of Vafa's paper involve various branes (not only M5) wrapping some cycles.

  2. What does this really mean intuitively and physically?

  3. Also, when a brane intersects a compact divisor in a (non-compact) CY3-fold what does it physically mean?

  • $\begingroup$ @SurgicalCommander maybe you could help with this? :) $\endgroup$
    – Marion
    May 6 '15 at 8:20
  • $\begingroup$ Related: physics.stackexchange.com/q/103520/2451 and physics.stackexchange.com/q/166423/2451 $\endgroup$
    – Qmechanic
    May 6 '15 at 11:04
  • $\begingroup$ I am really interested in understanding the above in the context of M-theory because of the more geometrical intuition. $\endgroup$
    – Marion
    May 6 '15 at 14:19
  • 2
    $\begingroup$ Hard to tell if the question is after the basic concept or some subtleties of it. Let's first check if the basic concept is clear: a brane configuration of shape some manifold Σ inside a target spacetime X is a suitbaly well behaved map Σ→X. One says that such a configuration wraps cycles in X if it represents the corresponding element in the homology group of X. For instance if Σ=T^2and X=Y×T^2 then the brane wraps that torus surface if the embedding map is the identity onto that torus over some point of Y. $\endgroup$ May 7 '15 at 18:53
  • $\begingroup$ @UrsSchreiber Would you be able to provide me for some reference? Both from a mathematical point of view as well as a physical one. (Sorry for my -very- late response/ $\endgroup$
    – Marion
    Sep 21 '15 at 18:24

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