Super Ginsparg–Wilson algebra and Dirac operator on the super fuzzy Euclidean hyperboloid EAdSF(2|2)
2020 ◽
Vol 35
(31)
◽
pp. 2050196
In this paper, we construct super fuzzy Dirac and chirality operators on the super fuzzy Euclidean hyperboloid [Formula: see text] in-instanton and no-instanton sectors. Using the super pseudo-projectors of the noncompact first Hopf fibration, we construct the Ginsparg–Wilson algebra in instanton and no-instanton sectors. Then, using the generators of this algebra, we construct pseudo super-Dirac and chirality operators in both sectors. We also construct pseudo super-Dirac and chirality operators corresponding to the case in which our theory includes gauge fields. We show that they have correct commutative limit in the limit case when the noncommutative parameter [Formula: see text] tends to infinity.
2020 ◽
Vol 35
(08)
◽
pp. 2050048
2020 ◽
Vol 35
(18)
◽
pp. 2050088
2005 ◽
Vol 20
(25)
◽
pp. 5871-5890
◽
2002 ◽
Vol 16
(14n15)
◽
pp. 1943-1950
◽
Keyword(s):
Keyword(s):
2020 ◽
Vol 17
(10)
◽
pp. 2050154
2002 ◽
Vol 17
(19)
◽
pp. 2555-2565
◽
2010 ◽
Vol 25
(37)
◽
pp. 3151-3167
◽
Keyword(s):
2003 ◽
Vol 2003
(05)
◽
pp. 018-018
◽
1996 ◽
Vol 49
(1-3)
◽
pp. 168-173
◽