A theorem of differential mappings of Riemann surfaces by Peichu Hu, Mingze Yang

Subjects: “…Riemann surfaces…”
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Sequences of 6d SCFTs on generic Riemann surfaces by Shlomo S. Razamat, Evyatar Sabag

“…Abstract We consider compactifications of 6d minimal (DN+3, DN+3) type conformal matter SCFTs on a generic Riemann surface. We derive the theories corresponding to three punctured spheres (trinions) with three maximal punctures, from which one can construct models corresponding to generic surfaces. …”
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Some unsolved problems on meromorphic functions of uniformly bounded characteristic by Shinji Yamashita

Subjects: “…Riemann surface…”
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Nested chirality and multimode transfer around exceptional points driven by external forces in electric circuits by Naiqiao Pan, Tian Chen, Xiangdong Zhang

“…Due to the complex non-trivial topology of Riemann surfaces associated with non-Hermitian Hamiltonians, the dynamical encirclement or proximity of EPs in parameter space has been shown to lead to some novel physical phenomena, such as the chiral modes modulations. …”
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Supersymmetric $$AdS_6$$ A d S 6 black holes from ISO(3) $$\times $$ × U(1) F(4) gauged supergravity by Parinya Karndumri

“…For $$\mathcal {M}_4$$ M 4 being a product of two Riemann surfaces $$\Sigma \times \widetilde{\Sigma }$$ Σ × Σ ~ , we perform a twist by $$SO(2)\times U(1)$$ S O ( 2 ) × U ( 1 ) gauge fields and find $$AdS_2\times \Sigma \times \widetilde{\Sigma }$$ A d S 2 × Σ × Σ ~ solutions for at least one of the Riemann surface being negatively curved. …”
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4d N $$ \mathcal{N} $$ = 1 from 6d D-type N $$ \mathcal{N} $$ = (1, 0) by Jin Chen, Babak Haghighat, Shuwei Liu, Marcus Sperling

“…We start by compactifying the 6d SCFT on a Riemann surface and compute the central charges of the resulting 4d theory by integrating the 6d anomaly polynomial over the Riemann surface. …”
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Algebro-Geometric Solutions of a (2+1)-Dimensional Integrable Equation Associated with the Ablowitz-Kaup-Newell-Segur Soliton Hierarchy by Xiaohong Chen

“…Then, based on the finite-order expansion of the Lax matrix, a hyperelliptic Riemann surface and Abel-Jacobi coordinates are introduced to straighten out the associated flows, from which the algebro-geometric solutions of the (2+1)-dimensional integrable equation are proposed by means of the Riemann θ functions.…”
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Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch by Elias Riedel Gårding

“…Specifically, we employ an explicit construction of the BPS quiver for the case of full regular punctures to show that the defect group is (ℤ N )2g , where g is the genus of the associated Riemann surface. This determines a sector of surface operators in the 5d symmetry TFT. …”
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Extending the Root-Locus Method to Fractional-Order Systems by Farshad Merrikh-Bayat, Mahdi Afshar

“…Such systems are defined on a Riemann surface because of their multivalued nature. A set of rules for plotting the root loci on the first Riemann sheet is presented. …”
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Perturbatively exact supersymmetric partition functions of ABJM theory on Seifert manifolds and holography by Junho Hong

“…Abstract We undertake a comprehensive analysis of the supersymmetric partition function of the U(N) k × U(N) −k ABJM theory on a U(1) fibration over a Riemann surface, evaluating it to all orders in the 1/N-perturbative expansion up to exponentially suppressed corrections. …”
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One-Dimensional Hurwitz Spaces, Modular Curves, and Real Forms of Belyi Meromorphic Functions by Antonio F. Costa, Milagros Izquierdo, Gonzalo Riera

“…Hurwitz spaces are spaces of pairs (S,f) where S is a Riemann surface and f:S→ℂ^ a meromorphic function. In this work, we study 1-dimensional Hurwitz spaces ℋDp of meromorphic p-fold functions with four branched points, three of them fixed; the corresponding monodromy representation over each branched point is a product of (p−1)/2 transpositions and the monodromy group is the dihedral group Dp. …”
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Anomaly inflow, accidental symmetry, and spontaneous symmetry breaking by Ibrahima Bah, Federico Bonetti

“…In particular, we study its compactifications to four dimensions on a smooth genus-g Riemann surface with non-trivial flavor flux, yielding a family of 4d CFTs. …”
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A construction of Shatz strata in the polystable $ G_2 $-bundles moduli space using Hecke curves by Álvaro Antón-Sancho

“…Let $ X $ be a compact Riemann surface of genus $ g\geq 2 $ and $ M(G_2) $ be the moduli space of polystable principal $ G_2 $-bundles over $ X $. …”
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Design of fractional order PDD controller for robotic arm using partial cancellation of non minimum phase zero by Manpreet Kaur, Swati Sondhi, Venkata Karteek Yanumula

“…Further, the parameters are selected using global stability region plots in which the stability of the system is shown using Riemann surface. The integral error criterion including Integral Absolute Error (IAE), Integral Square Error (ISE) and Integral Time Absolute Error (ITAE); and other performance metrics such as rise time, settling time, overshoot and undershoot are used to compare the robustness of the controllers under nominal environment, trajectory tracking and external disturbances. …”
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End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditions by Jesús Huertas, Angel M. Uranga

“…The systems have explicit gravity duals, given by orientifolds of the AdS4 × S 2 × S 2 fibrations over a Riemann surface dual to the Gaiotto-Witten setups. They describe solutions with an asymptotic AdS5 × S 5 terminating at AdS4 End of the World boundary configurations, whose rich dynamics reproduces the above physical properties. …”
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