Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T11:28:14.548983Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 4 inbound Pith citation observations for arXiv:2507.22808.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T11:28:14.548983Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T05:45:42.172498Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T15:58:38.185866Z
43 of 43 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d6d94c76-f6db-4a99-a41e-388143bc86d9 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation af3a04c0-9be8-4611-a8ea-7bd7abf76a86 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e2cdee50-77a0-4ad6-8917-585550dcc662 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models ℓ(τ) = 1 λ ( 1− ( 1− 1 qλτ )q)
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 30048406-118f-457d-ac56-de173f65de29 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 54e5731f-64b2-4d8e-a555-74c48fd8bdb8 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models This function is defined by the following expres- sion: ℓλ(τ) =− 1 λ ( 1− √ 1 + 2λτ )
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e7a314d8-69c3-4fc7-81ea-d3fe71d4c5fc · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models These models can be systematically de- rived through appropriate transformations of the fundamental equation (16) when applied to the CH-function ℓ(τ) =− 1 λ log(1−λτ)
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f2fea58e-8678-4d0d-8a3c-d1ea644b3742 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models To achieve this, we consider the following potential: Ω(y) = 1 4λ ( (y−3 + 3y)− 4 ) , (33) wherey is determined by: y = √ 2λq1 + √ 9 + 4λ(λq2 1− 3q2) 3− 4λq2
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8ef7af64-77ba-4ad3-8986-a4bca959cf8d · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Born and L
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 564e606e-e04d-4f23-9931-4ec6fafb3cd0 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 80783f53-90ab-4b06-a780-7e7aa547e161 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Duality constraints on effective actions
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d74c8b0c-8914-45f4-b949-cd366afd124c · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c568e9f0-805d-456d-ae86-01e9ab055301 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Bialynicki-Birula, (1984)
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 52a5d496-d1df-4332-8727-bd08ac571474 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Nonlinear Electromagnetic Self-Duality and Legendre Transformations
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82ad24d0-faa4-49a5-ac1d-29303ba6ab84 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ced50c2-d1af-4e96-a37f-3c88c2ddb148 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 50a2f23c-bdf5-4680-922a-28b089e825da · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e444f384-f795-4aff-a5ec-db92c3c6d579 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation ce24ac9e-4aa3-488b-b43f-41747490019a · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models On space of integrable quantum field theories
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1e35bb4-097f-448a-8121-9cd9d5dbce46 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models $T \bar{T}$-deformed 2D Quantum Field Theories
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c40a879-7d2b-47ee-9d14-35bcda985a7e · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Generalised Born-Infeld models, Lax operators and the $\textrm{T} \bar{\textrm{T}}$ perturbation
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94adb774-4490-4a3c-885c-452da3f274a1 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Root-$T\bar{T}$ Deformations on Causal Self-Dual Electrodynamic Theories
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d288165b-2c17-432e-99ce-820e62a6cb2f · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4e7fac5-c6f9-489c-93b6-0cc9686309a5 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b503c342-5d90-4a21-98e5-2b96a5841ac5 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Non-Linear Supersymmetry and $T\bar T$-like Flows
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation df18c54d-ca37-489f-9532-3a1081650d68 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Generalized $T\overline{T}$-like Deformations in Duality-Invariant Nonlinear Electrodynamic Theories
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 84203dcd-6da7-47ba-8450-56f8edb000db · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Courant and D
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 87cb7a97-5b1a-42c6-8cbf-e55115468857 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Maximally symmetric nonlinear extension of electrodynamics and charged particles
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 85de0ef5-8619-4dd9-8651-49610065acba · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Unresolved cited work
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48a38618-0790-4295-a1a3-3863d019d1aa · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f96788e-d947-4071-af39-8d45b68e0a1d · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models A non-linear duality-invariant conformal extension of Maxwell's equations
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69e53143-3911-41c0-808a-d18896e6e307 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Causal Self-Dual Electrodynamics
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8732c40-9df6-44e0-ba3d-2fb91f358027 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Dualities of Self-Dual Nonlinear Electrodynamics
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8095c53a-8cae-4003-8923-0cdf59ef682a · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Causality and Energy Conditions in Nonlinear Electrodynamics
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 048087d2-cb0e-4d27-a382-706f3e43954d · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models On the Classical Integrability of Root-$T \overline{T}$ Flows
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85836a94-3fcd-411d-80ab-9a4929f213a2 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca2444c4-e859-4b1d-a56c-794b69b3fc2d · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Root-$T \overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0d44034-8fbc-4c8a-8de3-fcd249290fb4 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Metric approach to a $\mathrm{T}\bar{\mathrm{T}}-$like deformation in arbitrary dimensions
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80269b74-6497-4104-b3b4-3d0b9dc50618 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models $T\overline{T}$ Deformation: Introduction and Some Recent Advances
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba7c922f-b913-4131-be38-ea6ca3a648d9 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models New representation for Lagrangians of self-dual nonlinear electrodynamics
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eae727cc-b4de-4c9a-8b3a-2b0590696eea · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models New approach to nonlinear electrodynamics: dualities as symmetries of interaction
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 07141880-d9d2-4dda-a31f-626caed34c5b · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models Infinite Family of Integrable Sigma Models Using Auxiliary Fields
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe901da3-8426-4b1b-8e35-39b2c3ade7bc · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models T-Duality and $T \overline{T}$-like Deformations of Sigma Models
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc704dc4-a148-46b0-b990-9858827606a0 · outbound
Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models On p-form gauge theories and their conformal limits
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56abe83b-4bed-43ad-8e2f-b317cfbaaa08 · inbound
Soliton Surfaces and the Geometry of Integrable Deformations of the $\mathbb{CP}^{N-1}$ Model Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models
Reference 80
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3aa9524e-1ca8-4334-931a-3175a082f8d1 · inbound
Courant-Hilbert deformations of Yang-Baxter sigma models Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e5ec8f53-2bbb-445c-b6d1-dfbb5afb92a1 · inbound
The Triple $T\bar{T}$-Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 49728b74-9993-42c8-968d-359577694dfa · inbound
Exact Relevant Stress-Tensor Flows and a Causality No-Go in Self-Dual Electrodynamics Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.