GLSMs for non-Kähler geometries

Abstract

We identify a simple mechanism by which H-flux satisfying the modified Bianchi identity arises in garden-variety (0, 2) gauged linear sigma models. Taking suitable limits leads to effective gauged linear sigma models with Green-Schwarz anomaly cancellation. We test the quantumconsistency of a class of such effective theories by constructing an off-shell superconformal algebra, identifying unexpected topological constraints on the existence of this algebra and providing evidence that these models run to good CFTs in the deep IR when all of the constraints are satisfied.1 The term "balanced" is probably more appropriate [2], since all such 4d N = 1 compactifications come from balanced manifolds which may or may not be Kähler. The term "non-Kähler" has become standard, however, emphasizing that these manifolds need not be Kähler.2 For useful introductions and reviews of (0,2) sigma models see [10,11].5 Note that adding a GS term is not possible in a (2, 2) model. Corespondingly, the fermionic spectrum is necessarily non-chiral, which forbids any gauge anomaly. Such models necessarily have dH = 0.6 Technically, this result uses the natural Kähler structure on the toric variety. In the presence of torsion, the physical metric will in general not be this Kähler metric. They will differ, however, only by terms proportional to α ′ , the loop counting parameter in the worldsheet; for the Bianchi identity above, we need only the leading order result. Note that this argument is not reliable away from large radius -however, away from large radius, the geometric picture is itself not reliable so we should focus instead on the quantum consistency of the gauge theory.

Nanosize effects of NiO nanosorbcats on adsorption and catalytic thermo‐oxidative decomposition of vacuum residue asphaltenes

“…H eavy polar compounds, like asphaltenes, are responsible for many of the undesirable behaviours of crude oil. [1,2] These undesirable behaviours are more drastic in heavy oil and bitumen due to the existence of higher percentages of heavy polar compounds in their matrix. [3] Actually, the presence of unstable polar heavy hydrocarbons in the oil matrix would negatively influence the entire production chain, starting from the well where they can reduce oil recovery and consequently decrease the productivity index by changing reservoir wettability, rock pore plugging, and deposition of asphaltenes within wells.…”

“…[10,11,[23][24][25][26][27][28] Thus, making this type of energy resource a better feedstock for refining and consequently reducing emissions. [1,6,22,29] This could be accomplished by separating the asphaltenes from oil through adsorbing them onto adsorbentcatalyst nanoparticles, which can subsequently promote the subsequent treatment process (e.g. thermo-oxidative decomposition, steam gasification, hydroprocessing, thermal cracking, etc.)…”

“…[22,[34][35][36] For a subsurface application, for the purpose of recovery enhancement and in situ adsorption of asphaltenes within the reservoir, nanoparticles have been demonstrated as a way to upgrade oils to enhance liquid yields by preventing reservoir pore blockage, reducing viscosity, and inhibiting formation damage. [1] The catalytic activity of nanoparticles was typically confirmed on the basis of a shift in mass loss peak that is associated with an exothermic peak using thermogravimetric analysis (TGA), as well as the quality of the emitted gases during the catalytic steam gasification or oxidation processes. [11,22,24,25,28] This catalytic role of nanoparticles was furtherly confirmed for other types of asphaltenes reported by other researchers.…”

From 6D superconformal field theories to dynamic gauged linear sigma models

“…The result is that such a gauge theory may a priori correspond to several distinct SCFTs, labelled by the choice of branch. 6 In addition, there are also a number of interesting examples of (2, 2) and (0, 2) abelian gauge theories with dynamical Fayet-Iliopoulos and θ-angle terms, for instance references [69][70][71][72][73][74].…”

Some recent advances in gauged linear sigma models

“…[2,3,4,5,6,7,8,9,10] and references therein) to new developments in Calabi-Yau compactifications, including realizations of non-complete-intersection target spaces [11,12,13,14,15], non-birational phases [11,12,15,16,17,18,19,20] (leading to modern conjectures that all phases of GLSM's are related by a new notion known as "homological projective duality" [17,18,19,20,21,22,23]), nonperturbative realizations of geometry [11,12,15,16,24,25,26], realizations of noncommutative resolutions [12,16,25,26], and localization techniques [27,28]. Those localization techniques have been applied to deduce new methods for computing Gromov-Witten invariants [24,29], computations of elliptic genera directly in GLSM's [30,31,…”