A heterotic Kähler gravity and the distance conjecture by Javier José Murgas Ibarra, Paul-Konstantin Oehlmann, Fabian Ruehle, Eirik Eik Svanes

“…We investigate properties of this new holomorphic theory, and in particular connections to the swampland distance conjecture in the context of heterotic string theory. …”
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Transplanckian censorship and the local swampland distance conjecture by Patrick Draper, Szilard Farkas

“…Abstract The swampland distance conjecture (SDC) addresses the ability of effective field theory to describe distant points in moduli space. …”
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Massive spectrum in F-theory and the distance conjecture by Keren Chen, Qinjian Lou, Yi-Nan Wang

“…To exactly match with the results in the distance conjecture, we propose that the definition of 8D Planck mass should receive a large correction. …”
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Density of states, black holes and the Emergent String Conjecture by Alek Bedroya, Rashmish K. Mishra, Max Wiesner

“…This provides evidence for the Emergent String Conjecture without explicitly relying on string theory or supersymmetry.…”
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Bound Associated with Certain Hankel Determinants and Zalcman Conjecture for Multivalent Functions of Bounded Turning by Deekonda Vamshee Krishna, Nallamothu Vani, Biswajit Rath, Karri Sanjay Kumar

“…In this paper, we investigate for a sharp upper bound to certain generalized second Hankel determinant, the Zalcman conjecture and an upper bound for the third, fourth Hankel determinants for the class of multivalent analytic bounded turning functions. …”
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Weak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetime by Mohammad Reza Alipour, Mohammad Ali S. Afshar, Saeed Noori Gashti, Jafar Sadeghi

“…Abstract In this study, we investigate the Weak Gravity Conjecture (WGC) in the context of quantum-corrected Reissner–Nordstrom–AdS (RN-AdS) black holes within Kiselev spacetime. …”
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Swampland bounds on magnetized extra dimensions by Yuta Hamada, Maki Takeuchi

“…Specifically, the Weak Gravity Conjecture and the Trans-Planckian Censorship Conjecture give non-trivial bounds.…”
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Doubling constructions and tensor product L-functions: coverings of the symplectic group by Eyal Kaplan

“…Our global results are subject to certain conjectures, but when $k=1$ they are unconditional for all m. …”
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On a question of permutation groups acting on the power set by Li Jinbao, Yang Yong, You Mengxi

“…In this work, we settle a conjecture about the number of set-orbits of permutation group acting on the power set.…”
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Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions by Kang Zhou, Chang Hu

“…All results are represented as universal expansions to appropriate basis. We also conjecture a compact general formula for tree YM amplitudes with higher mass dimension, which allows us to generate them from ordinary YM amplitudes, and discuss the consistent factorizations of the conjectured formula.…”
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The nonlinear cysteine redox dynamics in the i-space: A proteoform-centric theory of redox regulation by James N. Cobley, Panagiotis N. Chatzinikolaou, Cameron A. Schmidt

“…Monte Carlo simulations of the human protein PTP1B reveal extensive i-space sampling beyond site-centric models, supporting the “oxiform conjecture”. This conjecture posits that highly oxidised proteoforms, molecules bearing multiple oxidised cysteines, are central to redox regulation. …”
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Twisted holography by Kevin Costello, Davide Gaiotto

“…The duality relates the B-model on certain Calabi-Yau three-folds to two-dimensional chiral algebras defined as gauged βγ systems. The duality conjecturally captures a topological sector of more familiar AdS5/CFT4 holographic dualities.…”
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Some results on value distribution concerning Hayman's alternative by Zhuang Xinyu, Zheng Ruilin, He Zhiying, Fang Mingliang

“…We extend and improve some results due to Zhu [A far-reaching form of Hayman’s inequality; fixed points of meromorphic functions and their derivatives, Kexue Tongbao (Chinese) 31 (1986), no. 11, 801–804], Hua and Chuang [On a conjecture of Hayman, Acta Math. Sinica (N.S.) 7 (1991), no. 2, 119–126], and Charak and Singh [A value distribution result related to Hayman’s alternative, Commun. …”
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The massless S-matrix of integrable σ-models by George Georgiou

“…Namely, in well-known 2-d integrable models the tree-level massless S-matrix exhibits particle production and fails to factorise. This is conjectured to happen due to IR ambiguities in the massless tree-level amplitudes. …”
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Modular invariance and thermal effective field theory in CFT by Kuroush Allameh, Edgar Shaghoulian

“…Abstract We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, c 1, is equal to the coefficient of the subleading piece of the Casimir energy on S 1 × S d−2 for d ≥ 4. We conjecture that this coefficient obeys a sign constraint c 1 ≥ 0 in CFT and collect some evidence for this bound. …”
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On the space of 2d integrable models by Lukas W. Lindwasser

“…Along the way, we find several new sequences of commuting charges, which we conjecture are charges of integrable models which are new deformations of a single scalar. …”
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Issues at the Rural-Urban Fringe: Florida's Population Growth, 2004-2010 by Rodney L. Clouser, Hank Cothran

“…These specific issues are not addressed in this fact sheet but left to the conjecture of the reader based on the data presented.  …”
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The Ethnic Hierarchy of the Taxi Industry: Structural Changes and Social Mobility Among Migrant Drivers by Helga Hiim Stålhane

“…Building on these findings, I conjecture about how current deregulations can alter the ethnic hierarchy, but simultaneously limit paths to social mobility.…”
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Asymptotic symmetries in the $TsT/T\bar{T}$ correspondence by Zhengyuan Du, Wen-Xin Lai, Kangning Liu, Wei Song

“…Starting from holography for IIB string theory on AdS$_3× \mathcal N$ with NS-NS flux, the TsT/$T\bar T$ correspondence is a conjecture that a TsT transformation on the string theory side is holographically dual to the single-trace version of the $T\bar T$ deformation on the field theory side. …”
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Massive celestial amplitudes and celestial amplitudes beyond four points by Reiko Liu, Wen-Jie Ma

“…Based on these findings, we conjecture that exchanges of n-particle operators can be observed by considering the comb channel conformal block expansion of (n + 3)-point massless celestial amplitudes. …”
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