scholarly journals Tensor products of Frobenius manifolds and moduli spaces of higher spin curves

2000 ◽  
pp. 145-166 ◽  
Author(s):  
Tyler J. Jarvis ◽  
Takashi Kimura ◽  
Arkady Vaintrob
Keyword(s):  
Moduli Spaces ◽  
Tensor Products ◽  
Frobenius Manifolds ◽  
Higher Spin

scholarly journals Moduli Spaces of Higher Spin Klein Surfaces

2017 ◽  
Vol 17 (2) ◽  
pp. 327-349
Author(s):  
Sergey Natanzon ◽  
Anna Pratoussevitch
Keyword(s):  
Moduli Spaces ◽  
Klein Surfaces ◽  
Higher Spin

(2, 2) VACUA OF THE HETEROTIC SUPERSTRING COMPACTIFIED ON SU(2)3 GROUPFOLDS

1991 ◽  
Vol 06 (07) ◽  
pp. 1149-1209 ◽  
Author(s):  
LEONARDO CASTELLANI ◽  
PIETRO FRE’ ◽  
FERDINANDO GLIOZZI ◽  
MARCO R. MONTEIRO
Keyword(s):  
Superstring Vacua ◽  
Moduli Spaces ◽  
Tangent Bundle ◽  
Minimal Model ◽  
Tensor Products ◽  
Majorana Fermions ◽  
Free Fermion ◽  
Dolbeault Cohomology ◽  
Generation Number ◽  
Non Linear

In this paper we classify the (2, 2) superstring vacua corresponding to non-linear σ-models on SU (2)3 groupfolds fermionized by 18 + 18 Majorana fermions. For the subclass of the completely bosonizable vacua, the generation number ½X is a multiple of 12 and the number of tangent-bundle deformations End(T) is a multiple of 4. The dimensions of the moduli spaces h1,1, h2, 1 are small odd numbers in the range 1 ÷ ~50. Very few of these vacua have the same Dolbeault cohomology as those described by minimal model tensor products, CICY, or Calabi-Yau threefolds in weighted P4. The vacua we classify are characterized by a rank 8 enhancement group and some of them can be viewed as N=2 truncations. We also discuss examples of vacua that are only partially bosonizable, showing that the class of vacua obtained by free fermion constructions is not fully contained in the class of vacua obtained by lattice constructions.

A Rare Low Spin Co(IV) Bis-Silyldiamide with High Thermal Stability: Exploring the Origin of an Unusual S = 1/2 Configuration

2020 ◽  
Author(s):  
David Zanders ◽  
Goran Bačić ◽  
Dominique Leckie ◽  
Oluwadamilola Odegbesan ◽  
Jeremy M. Rawson ◽  
...  
Keyword(s):  
Thermal Stability ◽  
Density Functional ◽  
Atomic Layer ◽  
Epr Spectrum ◽  
Functional Theory ◽  
Cluster Calculations ◽  
Layer Deposition ◽  
Starting Point ◽  
Higher Spin ◽  
Surface Saturation

Attempted preparation of a chelated Co(II) β-silylamide re-sulted in the unprecedented disproportionation to Co(0) and a spirocyclic cobalt(IV) bis(β-silyldiamide): [Co[(NtBu)2SiMe2]2] (1). Compound 1 exhibits a room temperature magnetic moment of 1.8 B.M and a solid state axial EPR spectrum diagnostic of a rare S = 1/2 configuration. Semicanonical coupled-cluster calculations (DLPNO-CCSD(T)) revealed the doublet state was clearly preferred (–27 kcal/mol) over higher spin configurations for which density functional theory (DFT) showed no energetic preference. Unlike other Co(IV) complexes, 1 had remarkable thermal stability, and was demonstrated to form a stable self-limiting monolayer in initial atomic layer deposition (ALD) surface saturation tests. The ease of synthesis and high-stability make 1 an attractive starting point to begin investigating otherwise inaccessible Co(IV) intermediates and synthesizing new materials.

Sign in / Sign up

Export Citation Format

Share Document