130 citations · 2.5k across the 122 of their papers we have counts for
50 papers · 1 filter
W-algebras of the Deligne-Cvitanović Exceptional series and the minimal 3d SCFT
Thomas Creutzig, Niklas Garner, Byeonggi Go +1
We propose a three-dimensional field theory construction that realizes the vertex algebras associated with the intermediate Lie algebras and the related -cofinite minimal -…
Mirror Symmetry and Level-rank Duality for 3d Rank 0 SCFTs
Thomas Creutzig, Niklas Garner, Heeyeon Kim
We introduce a family of 3d superconformal field theories that have zero-dimensional Coulomb and Higgs branches and propose that the rational vertex operator alge…
Kazhdan-Lusztig Correspondence for Vertex Operator Superalgebras from Abelian Gauge Theories
Thomas Creutzig, Wenjun Niu
We prove the Kazhdan-Lusztig correspondence for a class of vertex operator superalgebras which, via the work of Costello-Gaiotto, arise as boundary VOAs of topological B twist of 3…
3d mirror symmetry of braided tensor categories
Andrew Ballin, Thomas Creutzig, Tudor Dimofte +1
We study the braided tensor structure of line operators in the topological A and B twists of abelian 3d gauge theories, as accessed via boundary vertex operator alg…
A QFT for non-semisimple TQFT
Thomas Creutzig, Tudor Dimofte, Niklas Garner +1
We construct a family of 3d quantum field theories that conjecturally provide a physical realization -- and derived generalization -- of non-semisimple mathema…
FZZ-triality and large super Liouville theory
Thomas Creutzig, Yasuaki Hikida
We examine dualities of two dimensional conformal field theories by applying the methods developed in previous works. We first derive the duality between $SL(2|1)_k/(SL(2)_k \otime…
Correlator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset models
Thomas Creutzig, Yasuaki Hikida
We derive correspondences of correlation functions among dual conformal field theories in two dimensions by developing a "first order formulation" of coset models. We examine sever…
Correlator correspondences for subregular -algebras and principal -superalgebras
Thomas Creutzig, Yasuaki Hikida, Devon Stockall
We examine a strong/weak duality between a Heisenberg coset of a theory with subregular -algebra symmetry and a theory with a -s…
Higher rank FZZ-dualities
Thomas Creutzig, Yasuaki Hikida
We propose new strong/weak dualities in two dimensional conformal field theories by generalizing the Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality between Witten's cigar model d…
Correspondences among CFTs with different W-algebra symmetry
Thomas Creutzig, Naoki Genra, Yasuaki Hikida +1
W-algebras are constructed via quantum Hamiltonian reduction associated with a Lie algebra and an -embedding into . We derive corresp…
Rectangular W-algebras of types and and dual coset CFTs
Thomas Creutzig, Yasuaki Hikida, Takahiro Uetoko
We examine rectangular W-algebras with or symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions. We…
Rectangular W-(super)algebras and their representations
Thomas Creutzig, Yasuaki Hikida
We study W-algebras obtained by quantum Hamiltonian reduction of associated to the embedding of rectangular type. The algebra can be realized as the asymptotic sym…
Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
Thomas Creutzig, Yasuaki Hikida
We analyze the asymptotic symmetry of higher spin gravity with matrix valued fields, which is given by rectangular W-algebras with su symmetry. The matrix valued…
Higgs and Coulomb branches from vertex operator algebras
Kevin Costello, Thomas Creutzig, Davide Gaiotto
We formulate a conjectural relation between the category of line defects in topologically twisted 3d supersymmetric quantum field theories and categories of modules…
Logarithmic W-algebras and Argyres-Douglas theories at higher rank
Thomas Creutzig
Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and…
Cosets, characters and fusion for admissible-level minimal models
Thomas Creutzig, Shashank Kanade, Tianshu Liu +1
We study the minimal models associated to , otherwise known as the fractional-level Wess-Zumino-Witten models of . Since these…
Vertex Algebras for S-duality
Thomas Creutzig, Davide Gaiotto
We define new deformable families of vertex operator algebras associated to a large set of S-duality operations in four-dimensional supersymmetri…
W-algebras for Argyres-Douglas theories
Thomas Creutzig
The Schur-index of the -Argyres-Douglas theory is conjecturally a character of a vertex operator algebra. Here such vertex algebras are found for the a…
Vertical D4-D2-D0 bound states on K3 fibrations and modularity
Vincent Bouchard, Thomas Creutzig, Duiliu-Emanuel Diaconescu +3
An explicit formula is derived for the generating function of vertical D4-D2-D0 bound states on smooth K3 fibered Calabi-Yau threefolds, generalizing previous results of Gholampour…
Correspondences between WZNW models and CFTs with W-algebra symmetry
Thomas Creutzig, Yasuaki Hikida, Peter B. Ronne
We study theories with W-algebra symmetries and their relation to WZNW models on (super-)groups. Correlation functions of the WZNW models are expressed in terms of correlators of C…
Higgs phenomenon for higher spin fields on AdS_3
Thomas Creutzig, Yasuaki Hikida
In a previous work, a marginal deformation of 2d coset type model with N=3 superconformal symmetry was studied, and it was interpreted as a change of boundary conditions for bulk f…
Higher spin AdS_3 holography and superstring theory
Thomas Creutzig, Yasuaki Hikida, Peter B. Ronne
It has been believed for a long time that the tensionless limit of superstring theory can be described by a higher spin gauge theory. Recently, a concrete realization of this idea…
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
Andrei Babichenko, Thomas Creutzig
Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal…
Higher spin AdS_3 holography with extended supersymmetry
Thomas Creutzig, Yasuaki Hikida, Peter B. Ronne
We propose a holographic duality between a higher spin AdS_3 gravity with so(p) extended supersymmetry and a large N limit of a 2-dimensional Grassmannian-like model with a specifi…