This is how the worldsheet quantum theory knows all about spacetime physics. Setting the stage first. Since branes are 'generalizations', and are BPS, the supergravity solution in the multi-brane harmonic function form is:

with:

Thus, I can now derive:

Hence, the integral is:

After checking renormalization, one gets:

which is the correct harmonic function for a D(p+1)-brane. The relevance of is that via Green's functional analysis, it yields the string coupling of the dual 25-D theory:

which is key to the T-duality transformation properties of propagating background matter fields in 4-dimensional space-time, with the bosonic field configuration corresponding to the string world-sheet, whose variable is , yielding the two following key relations:

and

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