Magnetic monopoles from antisymmetric tensor gauge fields

Introduction to non-perturbative string theory

“…There is a generalization of the Dirac quantization condition to general p-form charges discovered by Nepomechie and Teitelboim, [14]. The argument parallels that of Dirac.…”

Lectures on superstring and M theory dualities

“…From the point of view ofÃ, the original electric brane is magnetic and vice versa. Another significant fact, [28] noted more than ten years ago, is that the Dirac quantization condition has a straightforward generalization to the charges carried by a dual pair of p-branes: Q E Q M ∈ 2πZ. This assumes appropriate normalization conventions, of course.…”

“…The natural conjecture for the duality group in this case is the discrete subgroup E 7 (Z), which is defined as the intersection of the continuous E 7,7 group and the discrete group Sp(28; Z). [5] Written in the 56-dimensional fundamental representation, it is evident that E 7,7 is a subgroup of the non-compact group Sp (28). (Later, in other contexts, the symbol Sp(n) will represent a compact group.)…”

Topological defects in gauge theories of open p-branes

“…Antisymmetric tensors of rank (p+1) ((p+1)-forms) have been widely studied in recent years [1], [2], [3], [4], [5]. They arise naturally in constructing Abelian U (1) gauge theories of elementary extended objects (strings, membranes,... ): a (p + 1) antisymmetric tensor couples to elementary p-branes in the same way as the vector potential one-form in Maxwell theory couples to elementary point-particles (0-branes).…”

“…Here t p+2 and t p+1 are singular forms representing topological defects of charge q and s [3], [5] associated with the two compact gauge fields B p+1 and A p :…”