Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-08-06
Nucl.Phys. B573 (2000) 811-829
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 25 pages, embarrassing omission of `=0' in abstract corrected, references updated, section on kappa-symmetry for flat s
Scientific paper
10.1016/S0550-3213(99)00800-7
The nature of $\kappa$-symmmetry transformations is examined for p-branes embedded in a class of coset superspaces G/H, where G is an appropriate supergroup and H is the Lorentz subgroup. It is shown that one of the conditions $\delta Z^M E_M{}^a = 0$ which characterizes $\kappa$-symmetry transformations arises very naturally if they are implemented in terms of a right action of a subgroup of the supergroup G on the supergroup elements which represent the coset. Unlike the global left action of G on G/H (which gives rise to supersymmetry on the coset superspace), there is no canonically defined right action of G on G/H. However, an interpretation of this right action involving an enlargement of the isotropy group from the Lorentz subgroup to a subgroup of G with generators which include some of the fermionic generators of G is suggested. Closure of the generators of this larger subgroup under commutation leads to the usual `brane scan' for p-branes which have bosonic degrees of freedom which are worldvolume scalars.
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