Counting exceptional instantons

Counting Exceptional Instantons

We show how to obtain the instanton partition function of N = 2 SYM with exceptional gauge group EFG using blow-up recursion relations derived by Nakajima and Yoshioka. We compute the two instanton contribution and match it with the recent proposal for the superconformal index of rank 2 SCFTs with E6,7 global symmetry. [email protected] [email protected]

Counting exceptional units

The number of solutions of the “unit equation” x + y = 1 in units of (the ring of integers of) an algebraic number field of degree n and unit rank r is known to be bounded above by an exponential function of n and r, but the best known lower bounds are only polynomial in n, and the true counts have been computed only in a few cases. We will present recently computed solution counts in number fi...

Exceptional Words Counting

Instantons and Exceptional Configurations with the Clover Action

We study exceptional modes of both the Wilson and the clover action in order to understand why quenched clover spectroscopy suffers so severely from exceptional configurations. We show that a large clover coefficient can make the exceptional modes extremely localized and thus very sensitive to short distance fluctuations. We contrast this with the case of the Wilson action where exceptional mod...

Deformed Instantons

In this talk, instantons are discussed in the presence of Lorentz violation. Conventional topological arguments are applied to classify the modified solutions to the Yang-Mills equations according to the topological charge. Explicit perturbations to the instantons are calculated in detail for the case of unit topological charge.