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Phases of $N=2$ Theories In Two Dimensions
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This is a study of the Landau-Ginzburg/Calabi-Yau correspondence, and related matters, using linear sigma models.
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Cited by 35 Pith papers
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Ricci-flat metrics from gauged linear $\sigma$-models without RG flow
Explicit Ricci-flat Kähler metrics on cones over products of projective spaces are built from gauged linear sigma models whose 'shadow' fields carry negative-signature kinetic terms.
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Abelian Orbifolds for Brane Brick Models
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.
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Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials
Schubert line defects in 3d GLSMs for complete flag manifolds are realized as SQM quivers whose indices give quantum Grothendieck polynomials and restrict the target space to Schubert varieties.
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Calabi-Yau Threefolds from Vex Triangulations
All fine regular triangulations of 4D reflexive polytopes—including non-FRST vex triangulations—yield smooth, birationally equivalent Calabi-Yau threefold hypersurfaces.
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Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds
The conjectured Jacobi modularity of topological string amplitudes on torus-fibered Calabi-Yau threefolds is derived conditionally from the wave-function property under the relative conifold monodromy, which also maps...
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Non-commutative resolutions and pre-quotients of Calabi-Yau double covers
A-periods of non-commutative resolutions of Calabi-Yau double covers satisfy the same GKZ system as those of an explicitly constructed smooth complete intersection.
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Algebra of the Infrared with Curve-Valued Potential
Lifted secondary-polytope data on elliptic curves yield L∞ algebras and chamber-dependent directed A∞ algebras, with a quasi-isomorphism universality theorem and expected Maurer–Cartan recovery of Fukaya–Seidel total ...
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Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings
Three families of tilting mutations on brane tilings produce quiver-invariant dualities, linking five doublets and one triplet of toric phases of H^{1,1,2,1}.
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GLSM monodromy on quantum period lattice of Calabi-Yau fourfold flops
For Calabi-Yau fourfold flops, the window-shift monodromy equals an EZ twist composed with tensoring by the canonical bundle, and in two example families this twist decomposes into spherical twists.
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BPS Invariants for Generalized Toric Calabi-Yau Threefolds
Gopakumar–Vafa invariants are transported across Hanany–Witten transitions after removing a universal parallel-brane sector, giving first-time high-degree invariants for local dP4.
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Unified description of color-electric and color-magnetic strings in hybrid vacua of $\mathcal{N}=2$ supersymmetric QCD
Exact twisted superpotential on non-Abelian string world sheets in hybrid r-vacua yields precise matching of 2D kink masses to 4D confined monopoles and quarks.
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Orientifolds of Gepner models without K\"ahler moduli
Exhaustive enumeration of Landau-Ginzburg orientifold models without Kähler moduli, with computed complex structure moduli numbers and tadpole charges to flag perturbative stabilization candidates.
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On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective
Computes 2- and 3-point functions of Schubert line defects in 3d A-model for partial flag manifolds Fl(k;n) to obtain K-theoretic Littlewood-Richardson coefficients, with small-beta limit recovering 2d quantum cohomology.
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Bordisms between 9d type IIB supergravities and commutator widths of duality groups
Proposes a refinement of the Swampland Cobordism Conjecture for Ω1(BG) with duality bundle G, where diverging commutator width of G requires infinitely many duality defects to realize monodromies via gravitational solitons.
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Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists
Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.
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Quiver-Invariant Dualities between Brane Tilings
A tilting mutation of brane tilings yields distinct superpotentials on the same quiver with identical mesonic moduli space, equivalent to a sequence of Seiberg dualities.
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Supersymmetric zeta functions and determinants
Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.
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Hyperfunctions in $A$-model Localization
Derives a distributional real-line integral formula for abelian observables in A-twisted N=(2,2) theories on S², verifies it on the CP^{N-1} GLSM correlator, and uses hyperfunctions to equate it with contour integrals...
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Towards a Heterotic Axiverse
Generic heterotic axions are heavier than in type IIB; the Strong CP problem is typically unsolved, and a light fuzzy dark matter axion requires a no-gaugino-condensation anisotropic fibred Calabi-Yau.
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Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries
Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.
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Search for NS 3-form Flux Induced Vacua for the Critical Non-Abelian Vortex String
NS 3-form flux on the conifold generates a potential for the baryonic modulus b whose only vacuum is a runaway to infinity, degenerating the conifold.
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Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
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Localization, Factorization and Dualities for Elliptic Kernels
Computes boundary-to-boundary elliptic kernels via localization for 4d N=1 theories and proves rank-changing Seiberg dualities as Jeffrey-Kirwan residue identities.
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String dualities and wedge singularities
Worldsheet effects from wedge singularities plus D0-brane emergence reproduce the tree-level tachyon mass in type 0A strings within a specific scaling limit.
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Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli
Derives general formula for monodromy action on B-brane charge lattice via hemisphere partition functions in GLSMs and refines it for examples using quantum Kähler discriminant and torus link fundamental groups.
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Instabilities in scale-separated Casimir vacua
Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.
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On mixed 't Hooft anomalies of emergent symmetries
An infrared mixed anomaly involving an emergent symmetry forces the UV completion to contain non-genuine operators, which the paper demonstrates in 2D and 3D examples and links to a correspondence between quantum coho...
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Beyond Algebraic Superstring Compactification
Calabi-Yau compactifications and mirror symmetry are conjecturally extended to non-algebraic toric spaces using Laurent deformations and the 'intrinsic limit' completion.
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Gauge Origami and BPS/CFT correspondence
The gauge origami partition function on C4 is realized as a correlation function of BPS qq-character operators, with D6 and D8 characters labeled by plane and solid partitions.
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Ricci-Flat Mirror Hypersurfaces in Spaces of General Type
Laurent-polynomial anticanonical sections can smooth Calabi-Yau hypersurfaces in general-type toric/torus manifolds and yield transposition mirrors with computable GLSM data.
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Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces
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.
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Harmonic Superspace for Ali-Ilahi's ADHM Instanton Sigma Model
The authors build a dual harmonic superspace and write the off-shell (0,4) superspace actions, interactions, and ADHM instanton gauge field for the complementary ADHM instanton sigma model.
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Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture
A topological A-model from CP^{3|4} supertwistors is claimed to reproduce the 't Hooft expansion of N=4 SYM and is related to the pure spinor AdS5×S5 superstring.
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Beyond Algebraic Solutions to Stringy Spacetime
Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.
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A Crash Course in Supersymmetric Field Theory Across Dimensions
Pedagogical crash-course notes on supersymmetric field theory across 2–10 dimensions, organized around recurring structures such as holomorphy, dualities, indices, BPS data, and anomalies.
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