Current-Current Deformations of Conformal Field Theories, and WZW Models

Daniel Roggenkamp; Stefan Forste

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Current-Current Deformations of Conformal Field Theories, and WZW Models

Stefan Forste, Daniel Roggenkamp

High Energy Physics - Theory · Submitted 28 Apr 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is shown that current-current deformed WZW models have WZW-like sigma model descriptions with non-bi-invariant metrics, additional B-fields and a non-trivial dilaton.

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arXiv IDhep-th/0304234 (version 2)

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CitationDaniel Roggenkamp, Stefan Forste. "Current-Current Deformations of Conformal Field Theories, and WZW Models." arXiv:hep-th/0304234 (2003). https://pith.science/paper/GOPSUI3O

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.52 · mentions code or data availability 0.01.

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Moduli spaces of conformal field theories corresponding to current-current deformations are discussed. For WZW models, CFT and sigma model considerations are compared. It is shown that current-current deformed WZW models have WZW-like sigma model descriptions with non-bi-invariant metrics, additional B-fields and a non-trivial dilaton.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Moduli spaces of conformal field theories corresponding to current-current deformations are discussed.	contribution 0.66	0.47	0.07	asserted 0.62
s1	For WZW models, CFT and sigma model considerations are compared.	method 0.52	0.56	0.05	asserted 0.74
s2	It is shown that current-current deformed WZW models have WZW-like sigma model descriptions with non-bi-invariant metrics, additional B-fields and a non-trivial dilaton.	result 1.00	0.90	0.84	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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The paper

Original abstract

Moduli spaces of conformal field theories corresponding to current-current deformations are discussed. For WZW models, CFT and sigma model considerations are compared. It is shown that current-current deformed WZW models have WZW-like sigma model descriptions with non-bi-invariant metrics, additional B-fields and a non-trivial dilaton.

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References

Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

$J\bar{J}$-deformation as a Riemann bilinear dressing
hep-th 2026-05 unverdicted novelty 7.0 of 10

Reformulates J bar J deformation in CFTs as Riemann-bilinear operator dressing that preserves modular properties on Riemann surfaces and matches bare/renormalized perturbation theory.
Chern-Simons Interfaces and Minimal Models from Quantum Groups
hep-th 2026-11 conditional novelty 6.0 of 10

Coupling a fermion chain to Chern-Simons theory produces q-deformed fermions whose low-energy limit is conjectured to be a compact boson plus a W_N minimal model, with a derived translation-baryon-number anomaly.
Localization and Abelianization of Strings on Group Manifolds: The Non-simply Connected Case
hep-th 2026-09 accept novelty 6.0 of 10

The partition function of supersymmetric WZW models on non-simply connected groups is expressed as a sum over winding sectors with phases from the FGK cocycle and global anomaly of Majorana-Weyl fermions.
Localization and Abelianization of Strings on Group Manifolds: The Simply Connected Case
hep-th 2026-09 accept novelty 6.0 of 10

An additional phase factor, (-1)^(kappa(m,w)), in the localized SWZW partition function is derived from the WZ amplitude, correcting the Murthy-Witten formula and matching the Hamiltonian result.
TsT, $T\bar{T}$ and black strings
hep-th 2019-11 conditional novelty 6.0 of 10

TsT transformations of BTZ times S3 reproduce the spectrum, entropy, and critical deformation parameter of single-trace T-Tbar-deformed CFTs, with the Horne-Horowitz and Giveon-Itzhaki-Kutasov black strings appearing ...

Show 3 more citing papers

String Theory of Supertubes
hep-th 2017-05 accept novelty 6.0 of 10

A tilted null gauging of a Wess-Zumino-Witten model yields exact worldsheet string theories for NS5-P and NS5-F1 supertubes, reproducing known supergravity solutions and exposing string-scale topology at the brane source.
Correlation Functions of Coulomb Branch Operators
hep-th 2016-02 accept novelty 6.0 of 10

Extremal correlation functions of Coulomb branch operators in 4d N=2 SCFTs equal ratios of determinants of derivatives of the deformed four-sphere partition function, and obey an integrable Toda chain system.
Orbifold groupoids
hep-th 2020-08 accept novelty 5.0 of 10

Orbifold operations on 2d quantum field theories compose according to a groupoid controlled by 3d Dijkgraaf-Witten theory, and the composition of two orbifolds is always an orbifold.

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22 arXiv papers cite this in 40 sentences

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Papers citing it · 25 sentences without a confident label

Uses its method or tool 1 paper

This is possible because of the Ward identity and the formula [equation] understood as a principal value.[One way to see that ([ref]) holds is to check that both sides are Green's functions of the operators $∂_i ∂̅_i$ and $∂_j ∂̅_j$.] We now follow the method of [ref] to show that a first order insertion of $𝒪̂$ produces no shift in the highest-weight OPE coefficients.

Conformal manifolds: ODEs from OPEs · The compact free boson · 0.96

Compares with it 1 paper

This is based on [ref] , but our orbifold action appears to be slightly different, so here we will explain the differences.

Averaging over moduli in deformed WZW models · Comparison to Förste and Roggenkamp · 0.84

Cites it as background 9 papers

Such deformations of WZW models are well understood [ref] .

RG Flows in 2d Chiral Gauge Theories · A Conformal Manifold and RG Flows · 0.89
One of the traditional approaches is to deform a given theory using a bilinear of left and right-moving conserved currents [ref] associated to the isometry group of the target space.

$O(d,d)$ transformations preserve classical integrability · Introduction · 0.91
Continuous current-current deformations have played an important role in order to unveil the structure of the moduli spaces of two-dimensional CFTs [ref] .

BMS$_{3}$ (Carrollian) field theories from a bound in the coupling of current-current deformations of CFT$_{2}$ · Introduction · 1.00

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