Correlator correspondences for Gaiotto-Rapcak dualities and first order formulation of coset models

Article Physics, Particles & Fields

Higher rank FZZ-dualities

Thomas Creutzig et al.

Summary: The paper investigates strong/weak dualities in two dimensional conformal field theories by generalizing the FZZ-duality, showing equivalences between different models and providing explicit derivations of the duality in specific cases.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

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Article Physics, Particles & Fields

Correlator correspondences for subregular W-algebras and principal W-superalgebras

Thomas Creutzig et al.

Summary: In this study, a strong/weak duality between a Heisenberg coset with sl n subregular W-algebra symmetry and a theory with sl(n|1)-structure is examined. Correlator correspondences for a series of generalized duality are derived, as part of a project to realize duality of corner vertex operator algebras proposed by Gaiotto and Rapcak. Another type of duality involving an additional pair of fermions is also examined, which is a natural generalization of the fermionic FZZ-duality.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

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Article Mathematics

Duality of subregular W-algebras and principal W-superalgebras

Thomas Creutzig et al.

Summary: This paper proves Feigin-Frenkel type dualities between subregular W-algebras of type A and principal W-superalgebras of type B, as well as between the principal W-superalgebras of types sl(1 | n) and osp(2 | 2n). The results include isomorphisms of Heisenberg cosets at dual levels, and a novel Kazama-Suzuki type coset construction. Additionally, it is shown that the simple principal W-superalgebra and its Heisenberg coset are rational and/or C-2-cofinite under certain conditions.

ADVANCES IN MATHEMATICS (2021)

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Cohomological Hall Algebras, Vertex Algebras and Instantons

Miroslav Rapcak et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2020)

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Article Physics, Particles & Fields

Correspondences among CFTs with different W-algebra symmetry

Thomas Creutzig et al.

NUCLEAR PHYSICS B (2020)

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Article Physics, Particles & Fields

Vertex algebras at the corner

Davide Gaiotto et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

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Rectangular W-algebras, extended higher spin gravity and dual coset CFTs

Thomas Creutzig et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

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Article Mathematics

W-algebras as coset vertex algebras

Tomoyuki Arakawa et al.

INVENTIONES MATHEMATICAE (2019)

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W-algebra modules, free fields, and Gukov-Witten defects

Tomas Prochazka et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

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Article Physics, Particles & Fields

Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs

Thomas Creutzig et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

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Article Mathematics

Cosets of affine vertex algebras inside larger structures

Thomas Creutzig et al.

JOURNAL OF ALGEBRA (2019)

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Article Astronomy & Astrophysics

Rectangular W algebras and superalgebras and their representations

Thomas Creutzig et al.

PHYSICAL REVIEW D (2019)

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Article Mathematics, Applied

Plane partitions with a pit: generating functions and representation theory

Mikhail Bershtein et al.

SELECTA MATHEMATICA-NEW SERIES (2018)

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Webs of W-algebras

Tomas Prochazka et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

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Orbifolds and Cosets of Minimal W-Algebras

Tomoyuki Arakawa et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2017)

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On W algebras commuting with a set of screenings

Alexey Litvinov et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

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THE SUPER W1+∞ ALGEBRA WITH INTEGRAL CENTRAL CHARGE

Thomas Creutzig et al.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2015)

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Higher spins & strings

Matthias R. Gaberdiel et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

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Article Physics, Particles & Fields

Higher spin AdS3 holography with extended supersymmetry

Thomas Creutzig et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

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N=1 supersymmetric higher spin holography on AdS3

Thomas Creutzig et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

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Large N=4 holography

Matthias R. Gaberdiel et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

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Extended higher spin holography and Grassmannian models

Thomas Creutzig et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

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Higher spin AdS3 supergravity and its dual CFT

Thomas Creutzig et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

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Article Astronomy & Astrophysics

An AdS3 dual for minimal model CFTs

Matthias R. Gaberdiel et al.

PHYSICAL REVIEW D (2011)

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Supergroup - extended super Liouville correspondence

Thomas Creutzig et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

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Article Physics, Particles & Fields

The FZZ duality with boundary

Thomas Creutzig et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

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Liouville Correlation Functions from Four-Dimensional Gauge Theories

Luis F. Alday et al.

LETTERS IN MATHEMATICAL PHYSICS (2010)

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The FZZ-duality conjecture - A proof

Yasuaki Hikida et al.

JOURNAL OF HIGH ENERGY PHYSICS (2009)

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AN-1 conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories

Niclas Wyllard

JOURNAL OF HIGH ENERGY PHYSICS (2009)

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Structure constants of the OSP(1|2) WZNW model

Yasuaki Hikida et al.

JOURNAL OF HIGH ENERGY PHYSICS (2007)

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H3+ WZNW model from Liouville field theory

Yasuaki Hikida et al.

JOURNAL OF HIGH ENERGY PHYSICS (2007)

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W(2)n algebras

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NUCLEAR PHYSICS B (2004)

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A matrix model for the two-dimensional black hole

V Kazakov et al.

NUCLEAR PHYSICS B (2002)

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Correlator correspondences for Gaiotto-Rapcak dualities and first order formulation of coset models

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