2023/10/18 by Dowker, J. S.
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Spectral Theory (math.SP)
paper · doi:10.48550/arxiv.2310.12027
It is shown that the functional determinant (∼ effective action) for a scalar field propagating on the mixed signature product of unit spheres, Sq×Sp, according to the GJMS operator, depends, if d is odd, only on d=p+q and on whether p is even or odd. In the first case the effective action equals twice the standard quantity on Sd and vanishes in the second.