{"total":11,"items":[{"citing_arxiv_id":"2605.27256","ref_index":62,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Thermal conformal partial waves from flat-space and defect CFT","primary_cat":"hep-th","submitted_at":"2026-05-26T16:32:39+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation diagonally.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.21755","ref_index":35,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Universalities of Defects in Quantum Field Theories","primary_cat":"hep-th","submitted_at":"2026-05-20T21:30:07+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Rychkov,EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions. SpringerBriefs in Physics. 1, 2016. [33] A. M. Polyakov,Non-Hamiltonian approach to conformal quantum field theory,Zh. Eksp. Teor. Fiz.66(1974), no. 1 23-42. [34] R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi,Bounding scalar operator dimensions in 4D CFT,JHEP12(2008) 031, [arXiv:0807.0004]. [35] S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, Solving the 3D Ising Model with the Conformal Bootstrap,Phys. Rev. D86(2012) 025022, [arXiv:1203.6064]. [36] Z. Komargodski and A. Zhiboedov,Convexity and Liberation at Large Spin,JHEP 11(2013) 140, [arXiv:1212.4103]. [37] A. L. Fitzpatrick, J. Kaplan, D. Poland, and D."},{"citing_arxiv_id":"2605.16162","ref_index":170,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Deconfinement For $\\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling","primary_cat":"math.PR","submitted_at":"2026-05-15T16:40:57+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.13975","ref_index":3,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Protected operators in non-local defect CFTs from AdS","primary_cat":"hep-th","submitted_at":"2026-05-13T18:00:12+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"International Research Center Initiative (WPI), MEXT, Japan, and by the Center for Data- Driven Discovery, Kavli IPMU (WPI). References [1] A. M. Polyakov, \"Non-Hamiltonian approach to conformal quantum field theory,\"Zh. Eksp. Teor. Fiz.66no. 1, (1974) 23-42. [2] R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, \"Bounding scalar operator dimensions in 4D CFT,\"JHEP12(2008) 031,arXiv:0807.0004 [hep-th]. [3] S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, \"Solving the 3D Ising Model with the Conformal Bootstrap,\"Phys. Rev. D86(2012) 025022, arXiv:1203.6064 [hep-th]. [4] S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, \"Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical"},{"citing_arxiv_id":"2604.26007","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Quantum mechanical bootstrap without inequalities: SYK bilinear spectrum","primary_cat":"hep-th","submitted_at":"2026-04-28T18:00:03+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"history in theoretical physics. In conformal field theory, the modern numerical bootstrap programme-initiated in [1] and reviewed in [2]-has shown that crossing symmetry, uni- tarity, and the operator product expansion can be combined into rigorous, high-precision bounds on operator dimensions and OPE coefficients, famously giving the critical exponents of the 3d Ising model [3, 4]. These results are obtained from the algebraic and positivity structure of the theory. A natural question is whether the same philosophy can be applied to quantum mechanics. In quantum mechanics, a basic consistency condition is the positivity of the inner product, O†O ≥0. The quantum mechanical (QM) bootstrap implements these constraints sys-"},{"citing_arxiv_id":"2604.24840","ref_index":2,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Quantum Rotors on the Fuzzy Sphere and the Cubic CFT","primary_cat":"cond-mat.str-el","submitted_at":"2026-04-27T18:00:00+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2603.10627","ref_index":2,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Efficient Conformal Block Evaluation with GoBlocks","primary_cat":"hep-th","submitted_at":"2026-03-11T10:42:43+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2511.00386","ref_index":10,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Conformal Bootstrap with Duality-Inspired Fusion Rule","primary_cat":"hep-th","submitted_at":"2025-11-01T03:39:10+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2506.08682","ref_index":8,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Superconformal Weight Shifting Operators","primary_cat":"hep-th","submitted_at":"2025-06-10T10:46:21+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Introduces SU(m,m|2n)-covariant weight-shifting operators in the super-Grassmannian formalism to derive all superconformal blocks from half-BPS ones.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"1907.03531","ref_index":13,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Notes on Tensor Models and Tensor Field Theories","primary_cat":"hep-th","submitted_at":"2019-07-08T11:59:43+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":2.0,"formal_verification":"none","one_line_summary":"Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"1906.08405","ref_index":7,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Propagator identities, holographic conformal blocks, and higher-point AdS diagrams","primary_cat":"hep-th","submitted_at":"2019-06-20T01:11:46+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS diagrams.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"correlators) and the CFT data (the spectrum of operators in the theory and the associated OPE coefficients). In the case of four-point correlators, the associativity of taking the OPE provides a powerful constraint, called the crossing equation, which via the conformal bootstrap pro- gram [4, 5, 6] has provided one of the strongest numerical and analytical approaches towards solving (higher-dimensional) CFTs (see e.g. Refs. [7, 8]). Holographically, the AdS diagram expansion of CFT correlators organizes itself such that it solves the crossing equation order by order in 1 /N, as established at leading [9] and subleading orders [10] in 1 /N in simple cases. The four-point exchange AdS diagrams in Mellin space [11, 12] (up to certain contact interactions) are also known to be directly related to the four-point conformal block [13]."}],"limit":50,"offset":0}