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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On cancellation laws in cardinal arithmetic without the axiom of choice
选择公理 基数算术 取消定律
2023/4/17
We survey known results concerning cancellation laws in cardinal arithmetic without the axiom of choice. These results include the cancellation law for Dedekind finite cardinals in cardinal addition a...
ANOMALY CANCELLATION AND MODULARITY II: THE E8 × E8 CASE
ANOMALY CANCELLATION MODULARITY II THE E8 × E8 CASE
2018/4/19
In this paper we show that both of the Green-Schwarz anomaly factorization formulafor the gauge group E8 × E8 and the Hoˇrava-Witten anomaly factorization formula for the gaugegroup E8 can be derived ...
It has been shown that the Alvarez-Gaum′e-Witten miraculous anomaly cancellation formula in type IIB superstring theory and its various generalizations can be derived from modularity of certain charac...
A note on modular forms and generalized anomaly cancellation formulas
Modular invariance Anomaly cancellation formulas
2018/4/19
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulasKe...
A note on modular forms and generalized anomaly cancellation formulas
Modular invariance Anomaly cancellation formulas
2018/4/19
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulas
Modular forms and generalized anomaly cancellation formulas
Modular forms generalized anomaly cancellation formulas
2018/4/19
In this paper, we generalize the anomaly cancellation formulas in [1, 12, 7] to the cases that an auxiliary bundle W as well as a complex line bundle are involved with no conditions on the first Pon...
Photospheric Signatures of Granular-scale Flux Emergence and Cancellation at the Penumbral Boundary
Photospheric Signatures Granular-scale Flux Emergence Cancellation Penumbral Boundary
2011/10/13
We studied flux emergence events of sub-granular scale in a solar active region. New Solar Telescope (NST) of Big Bear Solar Observatory made it possible to clearly observe the photospheric signature ...
Photospheric Signatures of Granular-scale Flux Emergence and Cancellation at the Penumbral Boundary
Photospheric Signatures Granular-scale Flux Emergence Cancellation Penumbral Boundary
2011/10/17
We studied flux emergence events of sub-granular scale in a solar active region. New Solar Telescope (NST) of Big Bear Solar Observatory made it possible to clearly observe the photospheric signature ...
A new CY elliptic fibration and tadpole cancellation
CY elliptic fibration and tadpole cancellation
2011/10/8
Abstract: Tadpole cancellation in Sen limits in F-theory was recently studied by Aluffi and Esole. We extend their results, generalizing the elliptic fibrations they used and obtaining a new case of u...
Affine open subsets in A^3 without the cancellation property
Cancellation problem Koras-Russell threefolds Algebraic Geometry
2011/9/1
Abstract: We give families of examples of principal open subsets of the affine space \mathbb{A}^{3} which do not have the cancellation property. We show as a by-product that the cylinders over Koras-R...
Three-Axis Measurement and Cancellation of Background Magnetic Fields to less than 50uG in a Cold Atom Experiment
Three-Axis Measurement a Cold Atom Experiment
2011/8/29
Many experiments involving cold and ultracold atomic gases require very precise control of magnetic elds that couple to and drive the atomic spins. Examples range from quantum transport,entanglement ...
Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs
Hypercharge Flux Exotics Anomaly Cancellation in F-theory GUTs
2010/12/23
We sharpen constraints related to hypercharge flux in F-theory GUTs that possess U(1) symmetries and argue that they arise as a consequence of 4-dimensional anomaly cancellation. This gives a physical...
Let A be an affine algebra of dimension d>3 over the field k, where k is the algebraic closure of the finite field Z/pZ, where p\geq d. Let P be a projective A-module of rank d-1. Then P is cancellati...
Photospheric flux cancellation and associated flux rope formation and eruption
Sun photosphere – Sun coronal mass ejections – Sun magnetic fields
2010/11/11
Aims. We study an evolving bipolar active region that exhibits flux cancellation at the internal polarity inversion line, the formation of a soft X-ray sigmoid along the inversion line and a coronal m...
In this paper, we consider a Gaussian multiple access channel with multiple independent additive white Gaussian interferences. Each interference is known to exactly one transmitter non-causally. The ...