ISSN:
1573-0530
Keywords:
differential calculus
;
exterior differentials
;
Gauge theories
;
deformations of differential algabras.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We construct the generalized version of covariant Z3-graded differential calculus introduced by one of us (R.K.) and then extend it to the case of arbitrary ZN grading. Here our main purpose is to establish the recurrence formulae for the Nth power of covariant q-differential Dq=dq + A and to analyze more closely the particular case of q being an Nth primitive root of unity. The generalized notions of connection and curvature are introduced and several examples of realization are displayed for N=3 and 4. Finally we briefly discuss the idea of infinitesimal deformations of the parameter q in the complex plane.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007464303255
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