Twisted Modules and G-equivariantization in Logarithmic Conformal Field Theory

R McRae - Communications in Mathematical Physics, 2021 - Springer
… can be viewed mathematically as the representation theory of its chiral algebra, a vertex …
for studying logarithmic conformal field theory (in which correlation functions have logarithmic

Twisted logarithmic modules of lattice vertex algebras

B Bakalov, MK Sullivan - Transactions of the American Mathematical …, 2019 - ams.org
… A recent generalization, called twisted logarithmic module, involves the logarithm of the …
related to logarithmic conformal field theory. We investigate twisted logarithmic modules of lattice …

Twisted logarithmic modules of free field algebras

B Bakalov, MK Sullivan - Journal of Mathematical Physics, 2016 - pubs.aip.org
… algebra V, the fields in a φ-twisted V-module involve the logarithm of the formal variable, …
on such a module is not semisimple. We construct examples of such modules and realize them …

[PDF][PDF] Twisted Logarithmic Modules of Free Field and Lattice Vertex Algebras.

SMK Sullivan - 2017 - repository.lib.ncsu.edu
… chiral conformal field theory, the representation theory of infinite-… possible use of twisted
logarithmic modules to construct new … logarithmic vertex algebras to logarithmic conformal field

Logarithmic conformal field theory, log-modular tensor categories and modular forms

T Creutzig, T Gannon - … Physics A: Mathematical and Theoretical, 2017 - iopscience.iop.org
… of its category of modules as a modular tensor category. Overarching these pillars … logarithmic
conformal field theories and C 2 -cofinite vertex operator algebras. We suggest logarithmic

Conformal perturbation theory for twisted fields

CA Keller, IG Zadeh - … of Physics A: Mathematical and Theoretical, 2020 - iopscience.iop.org
conformal perturbation theory for orbifolds of conformal field … We discuss how this relates
crossing symmetry to the modularlogarithm and thereby determines the shift in the conformal

Representation theory of vertex operator algebras and orbifold conformal field theory

YZ Huang - Lie Groups, Number Theory, and Vertex Algebras, 2021 - books.google.com
conformal field theories and their logarithmicconformal field theories as the theory of
twisted intertwining operators. We use twisted intertwining operators among twisted modules for a …

Twisted compactifications of 3d = 4 theories and conformal blocks

D Gaiotto - Journal of High Energy Physics, 2019 - Springer
… In particular, we propose a conformal field theory description … Recall that the D-module
structure on conformal blocks is … s function if we allow for logarithmic monodromies in d directions, …

[PDF][PDF] Some applications and constructions of intertwining operators in logarithmic conformal field theory

D Adamovic, A Milas - Contemp. Math, 2017 - albany.edu
… It is widely believed that all irreducible representations of the orbifold algebra Vg (G is finite)
arise from the ordinary and g-twisted V -modules via restriction to the subalgebra. This is …

Full Logarithmic Conformal Field theory—an Attempt at a Status Report: LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory

J Fuchs, C Schweigert - Fortschritte der Physik, 2019 - Wiley Online Library
… with dualities and with a compatible balancing (or twist), whereby it acquires the structure of
a … ; in Section 7 we present some first results towards a derived modular functor. In the final …