{"total":26,"items":[{"citing_arxiv_id":"2607.00864","ref_index":4,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Soft Algebras via Bulk Double Soft Limits","primary_cat":"hep-th","submitted_at":"2026-07-01T12:30:58+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Bulk double soft limits introduce subtleties absent from boundary celestial CFTs, so the full soft expansion of gravitational amplitudes cannot be generated from the first three terms via celestial algebras.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.30853","ref_index":45,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Rethinking quantum information in gravity and fields","primary_cat":"hep-th","submitted_at":"2026-06-29T19:34:06+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":2.0,"formal_verification":"none","one_line_summary":"The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"and Engineering Sciences,Proc. Roy. Soc. Lond. AV olume 465(2009) 2537 [quant-ph/0606225]. [43] A. Anshu, R. Jain and N.A. Warsi,A generalized quantum slepian-wolf,IEEE Transactions on Information Theory64(2018) 1436. [44] S. Pasterski, S.-H. Shao and A. Strominger,Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere,Phys. Rev. D96(2017) 065026 [1701.00049]. [45] A.-M. Raclariu,Lectures on Celestial Holography,2107.02075. [46] S. Pasterski, M. Pate and A.-M. Raclariu,Celestial Holography, inSnowmass 2021, 11, 2021 [2111.11392]. [47] J. Maldacena, D. Simmons-Duffin and A. Zhiboedov,Looking for a bulk point,JHEP01(2017) 013 [1509.03612]. [48] S. Komatsu, M.F. Paulos, B.C. Van Rees and X. Zhao,Landau diagrams in AdS and S-matrices"},{"citing_arxiv_id":"2606.26221","ref_index":61,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"De Sitter Representations","primary_cat":"hep-th","submitted_at":"2026-06-24T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":0.0,"formal_verification":"none","one_line_summary":"Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.25803","ref_index":10,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Massive fields in 3D Minkowski space and boundary correlators","primary_cat":"hep-th","submitted_at":"2026-06-24T13:19:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"The work identifies a broader class of 2D Carrollian CFT correlators that encode massive 3D Minkowski S-matrices and constructs the corresponding bulk-to-boundary propagator.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.26163","ref_index":109,"ref_count":2,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions","primary_cat":"hep-th","submitted_at":"2026-06-24T06:24:41+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.24816","ref_index":100,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory","primary_cat":"gr-qc","submitted_at":"2026-06-23T17:02:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Introduces a gauge transformation framework for BMS frames in multiscale black hole perturbation theory on Kerr that incorporates memory effects and avoids infrared divergences.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.24285","ref_index":13,"ref_count":2,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Topics in Celestial holography: A bottom-up perspective","primary_cat":"hep-th","submitted_at":"2026-06-23T08:05:20+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":1.0,"formal_verification":"none","one_line_summary":"Review of symmetries, celestial CFT, twistor interplay, and AdS/CFT connections in the search for a celestial dual to flat-spacetime quantum gravity.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"early example of how subleading soft factors can also be organized as asymptotic symmetry Ward identities. For gravity, the subleading soft theorem leads to an operator that acts as a two- dimensional stress tensor on celestial primaries [32, 57]. In the corresponding Ward identity one obtains the standard form T(z)O h,¯h(w,¯w)∼ h (z−w) 2 Oh,¯h(w,¯w) + 1 z−w ∂wOh,¯h(w,¯w),(3.5) as reviewed from the asymptotic-symmetry perspective in [13, 17]. The equation states that celestial operators transform as Virasoro primaries under the symmetry generated by the subleading soft graviton. At tree level this provides an elegant explanation of how the Lorentz group can be enhanced to local conformal transformations on the celestial sphere. - 8 - The current-algebra viewpoint is one of the clearest successes of the celestial program."},{"citing_arxiv_id":"2606.20433","ref_index":5,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Shadow Completion in Celestial OPEs","primary_cat":"hep-th","submitted_at":"2026-06-18T16:11:22+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Celestial OPEs require shadow-basis exchanges of the same bulk particles for consistency, with coefficients fixed by a universal shadow factor.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.05401","ref_index":7,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Carrollian holography with agentic AI: Real mass is imaginary","primary_cat":"hep-th","submitted_at":"2026-06-03T20:11:10+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"An agentic AI workflow constructs Carrollian conformal bases for massive and tachyonic particles via a Poincare-Carrollian intertwiner that requires complex momentum shifts.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.02722","ref_index":29,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Asymptotically-FLRW$_3$ spacetimes","primary_cat":"gr-qc","submitted_at":"2026-06-01T18:00:07+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Introduces asymptotically-FLRW3 spacetimes whose asymptotic symmetry group is the one-parameter family BMS3^k, fully characterizes the scalar-field solution space, identifies covariant mass/angular-momentum aspects and news via vacuum orbits, and exhibits exactly conserved non-linear Newman-Penrose ","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"[26] S. Pasterski and S.-H. Shao,Conformal basis for flat space amplitudes,Phys. Rev. D96 (2017) 065022, [1705.01027]. [27] L. Donnay, S. Pasterski and A. Puhm,Asymptotic Symmetries and Celestial CFT,JHEP 09(2020) 176, [2005.08990]. [28] S. Pasterski, M. Pate and A.-M. Raclariu,Celestial Holography, in2022 Snowmass Summer 55 Study, 11, 2021.2111.11392. [29] S. Pasterski,Lectures on celestial amplitudes,Eur. Phys. J. C81(2021) 1062, [2108.04801]. [30] A.-M. Raclariu,Lectures on Celestial Holography, [2107.02075]. [31] A. Bagchi, R. Basu, A. Kakkar and A. Mehra,Flat Holography: Aspects of the dual field theory,JHEP12(2016) 147, [1609.06203]. [32] L. Ciambelli, C. Marteau, A. C. Petkou, P. M. Petropoulos and K."},{"citing_arxiv_id":"2605.27870","ref_index":75,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Revisiting boundary electromagnetic duality and edge modes","primary_cat":"hep-th","submitted_at":"2026-05-27T02:38:39+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"In 4D Maxwell theory, standard Neumann/Dirichlet boundary conditions render large gauge transformations and edge mode shifts as gauge redundancies, while modified conditions make them physical symmetries generated by topological surface operators, with new electromagnetic dual boundary conditions co","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.27500","ref_index":40,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Constraining Gravitational Wave Memory with Hierarchical Inference","primary_cat":"gr-qc","submitted_at":"2026-05-26T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Hierarchical Bayesian inference on GWTC-5.0 constrains the memory enhancement factor to 0.26 with large uncertainties consistent with the GR value of 1 and forecasts that 2000 detections are needed for a 1σ constraint away from zero.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.16641","ref_index":17,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"On bulk reconstruction in Lorentzian AdS and its flat space limit","primary_cat":"hep-th","submitted_at":"2026-05-15T21:31:11+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Constructs bulk scalar field representations in Lorentzian AdS4 from boundary primaries via time-ordered propagators and derives their flat-space limits to plane-wave or Carrollian bases.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"(2∣z−w1∣2−iϵsgn(r))∆(2∣z−w2∣2+ iϵsgn(r))∆ ∝∆ϵ2−2∆ ∫ d2z 1 (2∣z−w1∣2)∆(2∣z−w2∣2)∆ ∝δ(2)(w1−w2), ∆= 1. (3.54) In the last line we made use of the conformal integral formulas [111]. Note that the result is divergent for ∆> 1 and vanishing for ∆< 1. It is consistent with the expected behavior of Carrollian (including the normalization) [20] and celestial 2-point functions [17,18]. This result agrees with that obtained in [64,70] by considering a boundary CFT3 two-point function with bulk point kinematics. Interestingly, we see explicitly that in this simple case, the integral localizes around the bulk point r = 0. 25 4 AdS scattering bases from bulk-to-boundary propagators The Klein-Gordon inner products computed in Section 3 allow us to construct alternative bases of so-"},{"citing_arxiv_id":"2605.05363","ref_index":5,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Celestial dual of conformal gravity MHV amplitudes: an OPE analysis","primary_cat":"hep-th","submitted_at":"2026-05-06T18:42:03+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A free-field 2d CFT realization of the chiral bms4 algebra is constructed, with vertex operators for graviton and scalar primaries whose OPEs exactly reproduce those from conformal gravity MHV amplitudes.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Princeton University Press, 2018, ISBN 978-0-691-17973-5 [arXiv:1703.05448 [hep-th]]. [3] S. Pasterski and S. H. Shao, \"Conformal basis for flat space amplitudes,\" Phys. Rev. D 96(2017) 065022 [arXiv:1705.01027]. [4] S. Banerjee, \"Null Infinity and Unitary Representation of The Poincare Group,\" JHEP 01(2019), 205 doi:10.1007/JHEP01(2019)205 [arXiv:1801.10171 [hep-th]]. [5] A. M. Raclariu, \"Lectures on Celestial Holography,\" [arXiv:2107.02075 [hep-th]]. [6] S. Pasterski, \"Lectures on Celestial Amplitudes,\" Eur. Phys. J. C81(2021) 1062 [arXiv:2108.04801]. [7] S. Pasterski, S. H. Shao and A. Strominger, \"Gluon Amplitudes as 2d Conformal Correlators,\" Phys. Rev. D96(2017) 085006 [arXiv:1706.03917]. [8] A. Strominger, \"On BMS Invariance of Gravitational Scattering\", JHEP07(2014) 152"},{"citing_arxiv_id":"2605.03250","ref_index":5,"ref_count":3,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Modular Flow of Celestial Conformal Field Theory","primary_cat":"hep-th","submitted_at":"2026-05-05T00:45:46+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Reviews modular flows in CFT2, warped CFTs and BMSFTs then presents vector and modular flows for celestial field theory and Klein CFTs while searching for the structure in Lifshitz theories.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.27736","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"A perturbative Liouville prescription for the celestial three-gluon amplitude","primary_cat":"hep-th","submitted_at":"2026-04-30T11:24:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, with the one-loop piece expressed using modified Bessel functions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.27449","ref_index":26,"ref_count":3,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Phase-Space Contractions of Carrollian Black-Hole Thermodynamics","primary_cat":"hep-th","submitted_at":"2026-04-30T05:44:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Double-scaling contractions of extended AdS black-hole thermodynamics produce finite Carrollian phase-space first laws with pressure-volume contributions under the condition α + γ = 1.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.22582","ref_index":6,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Carrollian ABJM: Fermions and Supersymmetry","primary_cat":"hep-th","submitted_at":"2026-04-24T14:14:39+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38(1999) 1113 [hep-th/9711200]. [4] A. Strominger, Lectures on the Infrared Structure of Gravity and Gauge Theory (3, 2017), [1703.05448]. [5] S. Pasterski, M. Pate and A.-M. Raclariu, Celestial Holography, in Snowmass 2021, 11, 2021 [2111.11392]. [6] A.-M. Raclariu, Lectures on Celestial Holography,2107.02075. - 31 - [7] A. Bagchi, Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories, Phys. Rev. Lett.105(2010) 171601 [1006.3354]. [8] A. Bagchi and R. Fareghbal, BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries, JHEP 10(2012) 092 [1203."},{"citing_arxiv_id":"2604.08498","ref_index":3,"ref_count":4,"confidence":0.9,"is_internal_anchor":false,"paper_title":"On Carrollian Loop Amplitudes for Gauge Theory and Gravity","primary_cat":"hep-th","submitted_at":"2026-04-09T17:42:28+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.","context_count":2,"top_context_role":"background","top_context_polarity":"background","context_text":"VN is supported by a University of Edinburgh School of Mathematics Studentship. References [1] A. Bagchi, S. Banerjee, R. Basu, and S. Dutta,Scattering Amplitudes: Celestial and Carrollian,Phys. Rev. Lett.128(2022), no. 24 241601, [arXiv:2202.08438]. [2] A. Strominger,Lectures on the Infrared Structure of Gravity and Gauge Theory, arXiv:1703.05448. [3] A.-M. Raclariu,Lectures on Celestial Holography,arXiv:2107.02075. [4] S. Pasterski, M. Pate, and A.-M. Raclariu,Celestial Holography, inSnowmass 2021, 11, 2021.arXiv:2111.11392. [5] L. Donnay,Celestial holography: An asymptotic symmetry perspective,Phys. Rept.1073 (2024) 1-41, [arXiv:2310.12922]. [6] J.-M. Lévy-Leblond,Une nouvelle limite non-relativiste du groupe de Poincaré,A."},{"citing_arxiv_id":"2603.17045","ref_index":40,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems","primary_cat":"hep-th","submitted_at":"2026-03-17T18:28:46+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2512.09018","ref_index":17,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"From Asymptotically Flat Gravity to Finite Causal Diamonds","primary_cat":"hep-th","submitted_at":"2025-12-09T19:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"The soft sector phase space of asymptotically flat gravity equals the phase space of radial size fluctuations of a finite causal diamond in flat spacetime.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.01446","ref_index":148,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Radiation in Fluid/Gravity and the Flat Limit","primary_cat":"hep-th","submitted_at":"2025-08-02T17:28:33+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"High Energy Physics2016 (2016), no. 12 1-15. [145] S. Pasterski, M. Pate, and A.-M. Raclariu,Celestial Holography, inSnowmass 2021, 11, 2021. arXiv:2111.11392. [146] S. Pasterski and S.-H. Shao,Conformal basis for flat space amplitudes, Physical Review D 96 (2017), no. 6 065022. [147] A. Strominger,Lectures on the Infrared Structure of Gravity and Gauge Theory. 3, 2017. [148] A.-M. Raclariu,Lectures on Celestial Holography, arXiv:2107.02075. [149] J. Cotler, K. Jensen, S. Prohazka, A. Raz, M. Riegler, and J. Salzer,Quantizing Carrollian field theories, JHEP 10 (2024) 049, [arXiv:2407.11971]. [150] D. Vassilevich,Carroll limit of a one-loop effective action, Phys. Rev. D111 (2025), no. 4 045020, [arXiv:2410.23616]. [151] A."},{"citing_arxiv_id":"2505.16436","ref_index":21,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"QFT in Klein space","primary_cat":"hep-th","submitted_at":"2025-05-22T09:26:12+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2504.12521","ref_index":197,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics","primary_cat":"gr-qc","submitted_at":"2025-04-16T22:47:28+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2410.02620","ref_index":37,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Comments on Celestial CFT and $AdS_{3}$ String Theory","primary_cat":"hep-th","submitted_at":"2024-10-03T15:59:26+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Extends H3+-WZNW celestial CFT to holographically generate MHV amplitudes in Klein space, deriving dictionary, stress tensor, correlators, OPE and PDEs from KZ equations.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2409.05936","ref_index":32,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Partial Differential Equations for MHV Celestial Amplitudes in Liouville Theory","primary_cat":"hep-th","submitted_at":"2024-09-09T16:20:41+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Derives PDEs for MHV celestial amplitudes in Liouville theory, computes logarithmic b² corrections, and shows the gluon OPE deformation at this order is isomorphic to the one-loop correction in pure Yang-Mills.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}