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 …
for studying logarithmic conformal field theory (in which correlation functions have logarithmic …
Logarithmic conformal field theory: beyond an introduction
T Creutzig, D Ridout - … of Physics A: Mathematical and Theoretical, 2013 - iopscience.iop.org
… theory of the underlying chiral algebra and the modular data pertaining to the characters
of the representations. Each of the archetypal logarithmic conformal field theories is … (twisted) …
of the representations. Each of the archetypal logarithmic conformal field theories is … (twisted) …
Modular transformation and boundary states in logarithmic conformal field theory
S Kawai, JF Wheater - Physics Letters B, 2001 - Elsevier
… the structure of modules, our results suggest that logarithmic conformal field theories admit
… In this Letter we consider the Z 2 orbifold model, where the twist operation is restricted to Z 2 …
… In this Letter we consider the Z 2 orbifold model, where the twist operation is restricted to Z 2 …
Toward logarithmic extensions of conformal field models
AM Semikhatov - Theoretical and Mathematical Physics, 2007 - Springer
… Continuing with challenges encountered in the study of logarithmic conformal field theories,
… (2) algebra, its twisted modules, and singular vectors in Verma modules. We then introduce …
… (2) algebra, its twisted modules, and singular vectors in Verma modules. We then introduce …
Logarithmic conformal field theory: a lattice approach
AM Gainutdinov, JL Jacobsen, N Read… - … and Theoretical, 2013 - iopscience.iop.org
… We refer to the structure of indecomposable modules in terms of simple modules and
mappings between them as subquotient structure. The Casimir element C in the representations $\…
mappings between them as subquotient structure. The Casimir element C in the representations $\…
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 …
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 …
on such a module is not semisimple. We construct examples of such modules and realize them …
Relating the archetypes of logarithmic conformal field theory
T Creutzig, D Ridout - Nuclear Physics B, 2013 - Elsevier
… w ⁎ ( M ) and σ ⁎ ( M ) from an arbitrary gl ˆ ( 1 | 1 ) -module M by taking the underlying vector
space to remain the same and twisting the action of the algebra:(3.8) J ⋅ w ⁎ ( | v > ) = w ⁎ …
space to remain the same and twisting the action of the algebra:(3.8) J ⋅ w ⁎ ( | v > ) = w ⁎ …
Logarithmic conformal field theory or how to compute a torus amplitude on the sphere
M Flohr - From Fields to Strings: Circumnavigating Theoretical …, 2005 - World Scientific
… Then, the conformal field theory of twist fields appropriate for this case can be constructed
… We will then translate the result to expressions in the modular parameter r with the help of …
… We will then translate the result to expressions in the modular parameter r with the help of …
[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 modules to construct new … logarithmic vertex algebras to logarithmic conformal field …
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