Toric geometry and the dual of c-extremization by Gauntlett, G, Martelli, D, Sparks, J

“…We consider D3-brane gauge theories at an arbitrary toric Calabi-Yau 3-fold cone singularity that are then further compactified on a Riemann surface Σg, with an arbitrary partial topological twist for the global U(1) symmetries. …”

Supersymmetric AdS(5) solutions of massive IIA supergravity by Apruzzi, F, Fazzi, M, Passias, A, Tomasiello, A

“…The natural interpretation of this map is that the dual CFT<inf>6</inf> and CFT<inf>4</inf> are related by twisted compactification on a Riemann surface Σ<inf>g</inf>. The ratio of their free energy coefficients is proportional to the Euler characteristic of Σ<inf>g</inf>. …”

Form factors of branch-point twist fields in quantum integrable models and entanglement entropy by Cardy, J, Castro-Alvaredo, O, Doyon, B

“…The main novelty of our work is the introduction of a particular type of twist fields in quantum field theory that are naturally related to branch points in an n-sheeted Riemann surface. Their two-point function directly gives the scaling limit of the trace of the nth power of the reduced density matrix. …”

Holographic description of M-branes via AdS2 by Giuseppe Dibitetto, Yolanda Lozano, Nicolò Petri, Anayeli Ramirez

“…These backgrounds enjoy sixteen supercharges and the corresponding internal geometry is non-compact due to the specific form of the warping w.r.t. the Riemann surface Σ2. Even though a direct computation of the holographic free energy of the would-be dual CFT1 yields a divergent behaviour, it reveals the typical N 3 scaling of a 6d theory upon introducing a hard cut-off. …”
Get full text

Global half-BPS AdS2 × S 6 solutions in Type IIB by David Corbino, Eric D’Hoker, Justin Kaidi, Christoph F. Uhlemann

“…Abstract We investigate half-BPS Type IIB supergravity solutions with spacetime geometry AdS2 × S 6 warped over a Riemann surface Σ. The general local solution was obtained in earlier work in terms of two holomorphic functions A ± $$ {\mathcal{A}}_{\pm } $$ on Σ. …”
Get full text

M5-branes probing flux backgrounds by Ibrahima Bah, Federico Bonetti, Enoch Leung, Peter Weck

“…These backgrounds consist of a resolved ℂ2 /ℤ k singularity fibered over a smooth Riemann surface of genus g ≥ 2, supported by a non-trivial G 4-flux configuration labeled by a collection of 2(k − 1) flux quanta, {N i }. …”
Get full text

Minimal-Area Metrics on the Swiss Cross and Punctured Torus by Headrick, Matthew, Zwiebach, Barton

“…Abstract The closed string theory minimal-area problem asks for the conformal metric of least area on a Riemann surface with the condition that all non-contractible closed curves have length greater than or equal to an arbitrary constant that can be set to one. …”
Get full text

Seifert fibering operators in 3d N=2 theories by Closset, C, Kim, H, Willett, B

“…We study 3d N = 2 supersymmetric gauge theories on closed oriented Seifert manifolds — circle bundles over an orbifold Riemann surface —, with a gauge group G given by a product of simply-connected and/or unitary Lie groups. …”

Equivariant Lagrangian Floer homology via cotangent bundles of EGN by Cazassus, G

“…Our construction applies to the exact and monotone settings, as well as in the setting of the extended moduli space of flat SU(2)-connections of a Riemann surface, considered in Manolescu and Woodward's work. …”

New AdS3/CFT2 pairs in massive IIA with (0, 4) and (4, 4) supersymmetries by Yolanda Lozano, Niall T. Macpherson, Nicolò Petri, Cristian Risco

“…The first subclass is when M4 = S2 × Σ2, with Σ2 a 2d Riemann surface, and the geometry is foliated over the Σ2. …”
Get full text

Minimal-Area Metrics on the Swiss Cross and Punctured Torus by Headrick, Matthew, Zwiebach, Barton

“…Abstract The closed string theory minimal-area problem asks for the conformal metric of least area on a Riemann surface with the condition that all non-contractible closed curves have length greater than or equal to an arbitrary constant that can be set to one. …”
Get full text

Ruled special Lagrangian 3-folds in C^3 by Joyce, D

“…We also show that the intersection Sigma of N_0 with the unit sphere in C^3 is a Riemann surface, and construct a ruled SL 3-fold N asymptotic to N_0 for each holomorphic vector field w on Sigma. …”

A Method of Riemann–Hilbert Problem for Zhang’s Conjecture 1 in a Ferromagnetic 3D Ising Model: Trivialization of Topological Structure by Osamu Suzuki, Zhidong Zhang

“…After a realization of the knots on a Riemann surface of hyperelliptic type, the monodromy representation is realized from the representation. …”
Get full text

Collective modes near a Pomeranchuk instability in two dimensions by Avraham Klein, Dmitrii L. Maslov, Lev P. Pitaevskii, Andrey V. Chubukov

“…We also analyze collective modes away from the critical point, and find that the modes evolve with F_{l}^{c(s)} on a multisheet Riemann surface. For certain intervals of F_{l}^{c(s)}, the modes either move to an unphysical Riemann sheet or stay on the physical sheet but away from the real frequency axis. …”
Get full text

Conformal and asymptotic properties of embedded genus-g minimal surfaces with one end by Bernstein, Jacob, Ph. D. Massachusetts Institute of Technology

Get full text

Worldsheet description of a massive type IIA superstring in 10D by M. P. Garcia del Moral, P. León, A. Restuccia

“…Abstract We construct, following [1, 2], a massive M2-brane (supermembrane) as the limit of a genus two M2-brane that becomes a twice punctured Riemann surface with particular boundary conditions on the fields defined on the punctures. …”
Get full text

Conformal-Based Surface Morphing and Multi-Scale Representation by Ka Chun Lam, Chengfeng Wen, Lok Ming Lui

“…The basic idea is to represent a 3D surface by its mean curvature function, H, and conformal factor function λ, which uniquely determine the geometry of the surface according to Riemann surface theory. Once we have the (λ, H) parameterization of the surface, post-processing of the surface can be done directly on the conformal parameter domain. …”
Get full text

Monopoles and Landau-Ginzburg Models by Wang, Donghao

“…We exploit the framework of the gauged Landau-Ginzburg models to address two model problems for the (perturbed) Seiberg-Witten moduli spaces on either C x Σ or H²₊ x Σ, where Σ is any compact Riemann surface of genus ≥ 1. These results will lead eventually to the compactness theorem in the second part; ∙ In Part II, we supply the analytic foundation for this Floer theory based on the results from Part I. …”
Get full text

Analytic progress in open string field theory by Kiermaier, Michael Stefan

Get full text

Instanton correction, wall crossing and mirror symmetry of Hitchin's moduli spaces by Lu, Wenxuan

Get full text