D3-Brane Self-Duality And Super-Hamiltonian Action Under Poincaré Invariance

Well, a big question is how did the universe begin. And we, cannot answer that question. Some people think that the big bang is an explanation of how the universe began, IT IS NOT. The big bang is a theory of how the universe evolved from a split second after whatever brought it into existence. And the reason why we’ve been unable to look right back at time zero, to figure out how it really began; is that conflict between Einstein’s ideas of gravity and the laws of quantum physics. So, STRING THEORY may and will be able to – it hasn’t yet; we’re working on it today – feverishly. It may be able to answer the question, how did the universe begin. And I don’t know how it’ll affect your everyday life, but to me, if we really had a sense of how the universe really began, I think that would, really, alert us to our place in the cosmos in a DEEP way. ~ Brian Greene!

I listed the 4 essential properties of D3-branes, namely:

Super-Hamiltonian Analysis of D5-WorldSpace In A BPS Bounded D3-Brane AdS/CFT Space

The Theory of Everything, if you dare be bold, might be something more than a string orbifold. While some of your leaders have got old and sclerotic, not to be trusted alone with things heterotic, please heed our advice that you are not smitten – the Book is not finished, the last word is not ‘WITTEN’. ~ Sheldon L. Glashow (On Edward Witten)!

In this post, I urge you to keep your eyes on the numbers as they qualify the type of branes and worldvolumes,

D3-Brane Actions And Gaillard-Zumino Conditions With An SO(2) Duality For SuperGravity

Nature is a mutable cloud, which is always and never the same. ~ Ralph Waldo Emerson!

Where there is life there is a pattern, and where there is a pattern there is mathematics. Once that germ of rationality and order exists to turn a chaos into a cosmos, then so does mathematics. There could not be a non-mathematical Universe containing living observers.
John D. Barrow, The Artful Universe (1995)

I last derived the D3-brane effective action in the NS5-brane geometry, via the D3-brane self-duality and Poincaré invariance properties as such: