On the Reggeized multiperipheral model

How to find H-monopoles in brane dynamics

“…We shall use the notations and conventions of ref. [14]. Dimensional reduction of the hypermultiplets gives rise to the following 2-d scalar superfields [13,14]:…”

“…Three additional scalar superfields come from the dimensional reduction of the 6-d SU(2) vector multiplet. Since we are interested only in the moduli dynamics, we keep only those superfields whose first component are the moduli a r , r = 7, 8, 9, and we denote them by [14] A = a + iθ λ + i 2θ θ F .…”

“…The modulus a 6 , instead, together with the 2-d vector, belongs to a 2-d vector superfield which reads [14]:…”

“…To write a manifestly N=1 action is now almost immediate, using the results of ref. [14]. The only subtlety is that we must make sure that the action respects the periodicity a r ∼ a r + 2πn r , inherited from 6-d, as well as the Weyl symmetry.…”

Gauge Theories on the Noncommutative Sphere

“…This new field is neutral and it couples to the field φ only. It is not difficult to recognize, that the action (102) describes nothing but the bosonic sector of the supersymmetric extension of the Schwinger model [16]. Thus, we have a good chance that upon adding fermions to our framework we shall recover the whole supersymmetric theory!…”