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Abstract
We study the quantum dynamics of a system of n Abelian N = 1 vector multiplets coupled to 12n(n+1) chiral multiplets which parametrise the Hermitian symmetric space Sp(2n, ℝ)/U(n). In the presence of supergravity, this model is superWeyl invariant and possesses the maximal noncompact duality group Sp(2n, ℝ) at the classical level. These symmetries should be respected by the logarithmically divergent term (the “induced action”) of the effective action obtained by integrating out the vector multiplets. In computing the effective action, one has to deal with nonminimal operators for which the known heat kernel techniques are not directly applicable, even in flat (super)space. In this paper we develop a method to compute the induced action in Minkowski superspace. The induced action is derived in closed form and has a simple structure. It is a higherderivative superconformal sigma model on Sp(2n, ℝ)/U(n). The obtained N = 1 results are generalised to the case of N = 2 local supersymmetry: a system of n Abelian N = 2 vector multiplets coupled to N = 2 chiral multiplets X ^{ I} parametrising Sp(2n, ℝ)/U(n). The induced action is shown to be proportional to ∫ d ^{4}xd ^{4}θd ^{4}θ¯ EK(XX¯) , where K(XX¯) is the Kähler potential for Sp(2n, ℝ)/U(n). We also apply our method to compute DeWitt’s a _{2} coefficients in some nonsupersymmetric theories with nonminimal operators.
Original language  English 

Article number  120 
Journal  Journal of High Energy Physics 
Volume  2023 
Issue number  6 
DOIs  
Publication status  Published  Jun 2023 
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Advances in Conformal Field Theory with Extended Symmetry
Kuzenko, S., Buchbinder, E., Theisen, S. & Tseytlin, A.
1/01/20 → 31/12/23
Project: Research