2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97094For the example of the logarithmic triplet theory at c=-2 the chiral vacuum torus amplitudes are analysed. It is found that the space of these torus amplitudes is spanned by the characters of the irreducible representations, as well as a function that can be associated to the logarithmic extension of the vacuum representation. A few implications and generalisations of this result are discussed.14 pages, LaTeXHigh Energy Physics - TheoryMathematical Physicstext