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26 papers · 1 filter
Differential operators for elliptic genera
Matthias R. Gaberdiel, Christoph A. Keller
Using the generalisation of Zhu's recursion relations to N=2 superconformal field theories we construct modular covariant differential operators for weak Jacobi forms. We show that…
Higher genus partition functions of meromorphic conformal field theories
Matthias R. Gaberdiel, Roberto Volpato
It is shown that the higher genus vacuum amplitudes of a meromorphic conformal field theory determine the affine symmetry of the theory uniquely, and we give arguments that suggest…
Conformal perturbation theory beyond the leading order
Matthias R. Gaberdiel, Anatoly Konechny, Cornelius Schmidt-Colinet
Higher order conformal perturbation theory is studied for theories with and without boundaries. We identify systematically the universal quantities in the beta function equations,…
Modular differential equations for torus one-point functions
Matthias R Gaberdiel, Samuel Lang
It is shown that in a rational conformal field theory every torus one-point function of a given highest weight state satisfies a modular differential equation. We derive and solve…
Bulk induced boundary perturbations for N=1 superconformal field theories
Matthias R Gaberdiel, Oliver Schlotterer
The N=1 superconformal circle theory consisting of a free boson and a free fermion is considered. At any radius the theory has standard Dirichlet and Neumann branes, but for ration…
Fluctuations of the baryonic flux-tube junction from effective string theory
Melanie Pfeuffer, Gunnar S. Bali, Marco Panero
In quenched QCD, where the dynamic creation of quark-antiquark pairs out of the vacuum is neglected, a confined baryonic system composed of three static quarks exhibits string-like…