Pure Spinor Partition Function Using Padé Approximants

Pure Spinor Partition Function and the Massive Superstring Spectrum

We explicitly compute up to the fifth mass-level the partition function of ten-dimensional pure spinor worldsheet variables including the spin dependence. After adding the contribution from the (x, θ, pα) matter variables, we reproduce the massive superstring spectrum. Even though pure spinor variables are bosonic, the pure spinor partition function contains fermionic states which first appear ...

Asymptotic Padé Approximants and the SQCD β-function

We present a prediction for the four loop β-function for SQCD based on the method

Solving Nonlinear Boundary Value Problems Using He's Polynomials and Padé Approximants

Cubic interaction term for Schnabl’s solution using Padé approximants

We evaluate the cubic interaction term in the action of open bosonic string field theory for Schnabl’s solution written in terms of Bernoulli numbers. This computation provides us with a new evidence for the fact that the string field equation of motion is satisfied when it is contracted with the solution itself. ∗[email protected]

Generic properties of Padé approximants and Padé universal series

We establish properties concerning the distribution of poles of Padé approximants, which are generic in Baire category sense. We also investigate Padé universal series, an analog of classical universal series, where Taylor partial sums are replaced with Padé approximants. In particular, we complement previous studies on this subject by exhibiting dense or closed infinite dimensional linear subs...