{"total":13,"items":[{"citing_arxiv_id":"2606.28110","ref_index":19,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Abelian Orbifolds for Brane Brick Models","primary_cat":"hep-th","submitted_at":"2026-06-26T14:10:40+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A construction procedure that induces an abelian orbifold action on the fields and J/E-terms of a parent brane brick model for a toric CY4, yielding explicit orbifolded theories that preserve consistency conditions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.10850","ref_index":5,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"On Calabi-Yau Threefolds For Unified LVS Inflation","primary_cat":"hep-th","submitted_at":"2026-06-09T13:31:05+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.08427","ref_index":21,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"An elliptic approach to Reid's fantasy","primary_cat":"hep-th","submitted_at":"2026-06-07T02:53:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Non-fibered Calabi-Yau threefolds in toric hypersurface and CICY classes connect to fibered Calabi-Yau threefolds via single-divisor shrinking transitions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.30220","ref_index":4,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"TriSearch: Learning to Optimize Triangulations via Bistellar Flips","primary_cat":"cs.LG","submitted_at":"2026-05-28T16:54:06+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"TriSearch is an RL framework that optimizes triangulations of polytopes using bistellar flips with a circuit-supported subtriangulation action representation, generalizing zero-shot to larger instances and outperforming prior samplers in 3D and 4D.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.27770","ref_index":14,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Sampling Triangulations and Calabi-Yau Threefolds with Autoregressive GNNs","primary_cat":"hep-th","submitted_at":"2026-05-26T23:40:50+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Introduces dualGNN, an autoregressive message-passing GNN using signed circuits to sample uniform fine regular triangulations of lattice polytopes, applied to Calabi-Yau threefolds at h^{1,1}=86 and 128.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.24724","ref_index":34,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Beyond Algebraic Solutions to Stringy Spacetime","primary_cat":"hep-th","submitted_at":"2026-05-23T20:32:43+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.23900","ref_index":44,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"What to do with a Ricci-flat Calabi--Yau metric?","primary_cat":"hep-th","submitted_at":"2026-05-22T17:59:20+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":2.0,"formal_verification":"none","one_line_summary":"A roadmap paper describing potential applications of numerical Ricci-flat Calabi-Yau metrics to heterotic string phenomenology and mathematical questions in special geometry.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"approximations to the Ricci-flat metric on toric Calabi-Yau spaces this, the perfor- mance is notably worse in comparison to the complete intersection geometries. There are only 7890 complete intersection Calabi-Yau threefolds. Starting from a triangu- lation of a four-dimensional reflexive polytope, we can construct a toric variety in which the anticanonical hypersurface is a (possibly) singular Calabi-Yau variety [44]. There are 473,800,776 reflexive polytopes to start from [45] and an unknown number of triangulations of these; see, however [46-48]. Extending the framework to F-theory, we can supplement the known five-dimensional reflexive polytopes [49] with machine learned examples [50] and thereby construct new fourfolds for which similar consid- erations arise."},{"citing_arxiv_id":"2605.23011","ref_index":2,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Star-Shaped Integral Cartan-Type Matrices and an Egyptian-Fraction Classification of Affine Weighted Trees","primary_cat":"math.CO","submitted_at":"2026-05-21T20:32:41+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Affine weighted star trees with central parameter k are classified by reducing the positive-semidefinite null-vector condition to the Egyptian-fraction equation sum 1/(r_i+1) = m-k for each fixed (m,k).","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.06998","ref_index":48,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Beyond Algebraic Superstring Compactification: Part II","primary_cat":"hep-th","submitted_at":"2026-05-07T22:27:07+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Deformations in algebraic superstring models indicate a non-algebraic generalization that aligns with mirror duality requirements.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"Subsequently , theU2(1;C)-transformation separates: C1 1 ={X 1 ∈C} \u0001 ×S/∫hortrightarrow {X1 =0} ×S \u0001 ⊔ {X1 ̸=0} ×S \u0001 ,(2.18) as the trivial and non-trivialU 2(1;C)-orbits, respectively . The former of these leaves theX-spaceZ m- singular atSand identified as the singular weighted projective spaceP n (m:···:m:1:1); the latter provides its MPCP-desingularization [48] of alongS. SinceU 1(1;C)×U 2(1;C)≈U 3(1;C)×U 2(1;C), the iterated quotient (2.15) is isomorphic to (2.14), thus giving the Hirzebruchn-fold,F (n) m , one more alternative description as the MPCP-desingularization of the weightedP n (m:···:m:1:1). The above two choices,I(2.14) andII(2.15), correspond to the two \"geometric\" phases. Replacing the complements(C d"},{"citing_arxiv_id":"2605.03963","ref_index":108,"ref_count":4,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Constraining F-theory Model Building with QCD Axions","primary_cat":"hep-th","submitted_at":"2026-05-05T16:45:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.","context_count":2,"top_context_role":"background","top_context_polarity":"background","context_text":"We consider a case withh 1,1 = 2 and a rigid effective divisor. ˜F3 is a toric threefold given by the rays (1,0,0),(0,1,0),(0,0,1),(−1,−1,−3),(0,0,−1).(127) The divisor classes on ˜F3 areD 1 =S∼(0,0,−1) and D2 =H∼(1,0,0). Note thatD 1 is rigid without the inclusion of any flux. The triple intersection numbers on B3 are H3 = 0, S·H 2 = 1, S 2 ·H=−3, S 3 = 9.(128) The canonical basis for divisor and curves are D1 =S , D 2 =H ,C 1 =H·H ,C 2 = (S+ 3H)·H , (129) such thatD i · Cj =δ ij. The K¨ ahler formJis J=v 1[S] +v 2[H].(130) The volume ofB 3 is Vol(B3) = 1 2(v1(v2)2 −3(v 1)2v2 + 3(v1)3).(131) The anticanonical class−K P1×P2 = 6H+2S, with volume Vol(6H+ 2S) = 1 2(6H+ 2S)(v 1S+v 2H)(v 1S+v 2H) = (v2)2 . (132)"},{"citing_arxiv_id":"2512.10518","ref_index":33,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Fano and Reflexive Polytopes from Feynman Integrals","primary_cat":"hep-th","submitted_at":"2025-12-11T10:41:45+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Quasi-finite Feynman integrals produce sparse Fano and reflexive polytopes that encode degenerate Calabi-Yau varieties and link to del Pezzo surfaces, K3 surfaces, and Calabi-Yau threefolds.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2403.07139","ref_index":27,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces","primary_cat":"hep-th","submitted_at":"2024-03-11T20:12:24+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2008.10625","ref_index":149,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Lectures on Naturalness, String Landscape and Multiverse","primary_cat":"hep-th","submitted_at":"2020-08-24T18:01:55+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":1.0,"formal_verification":"none","one_line_summary":"Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}