We consider topological defect lines (TDLs) in two-dimensional fermionic conformal field theories (CFTs). Besides inheriting all the properties of TDLs in bosonic CFTs, TDLs in fermionic CFTs could host fermionic defect operators at their endpoints and junctions. Furthermore, there is a new type of TDLs, called q-type TDLs, that have no analog in bosonic CFTs. Their distinguishing feature is an extra one-dimensional Majorana fermion living on the worldline of the TDLs. The properties of TDLs in fermionic CFTs are captured in the mathematical language of the super fusion category. We propose a classification of the rank-2 super fusion categories generalizing the \mathbb{Z}_8 ℤ 8 classification for the anomalies of \mathbb{Z}_2 ℤ 2 symmetries. We explicitly solve the F-moves for all the nontrivial categories, and derive the corresponding spin selection rules that constrain the spectrum of the defect operators. We find the full set of TDLs in the standard fermionic minimal models and a partial set of TDLs in the two exceptional models, which give CFT realizations to the rank-2 super fusion categories. Finally, we discuss a constraint on the renormalization group flow that preserves a q-type TDL.

In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from the compactification of 6d (2, 0) SCFTs on 4-manifolds M₄. The mapping class group of M₄ and the automorphism group of the SymTFT switch between different absolute 2d theories or global variants. Using the combined symmetries, we realize the topological defects in these global variants. Our main example is ℙ¹ × ℙ¹. For N M5-branes the corresponding 2d theory inherits ℤ_N 0-form symmetries from the SymTFT. We reproduce the orbifold groupoid for theories with ℤ_N 0-form symmetries and realize the duality defects at fixed points of the coupling constant under elements of the mapping class group. We also study other Hirzebruch surfaces, del Pezzo surfaces, as well as the connected sum of ℙ¹ × ℙ¹. We find a rich network of global variants connected via automorphisms and realize more interesting topological defects. Finally, we derive the SymTFT on more general 4-manifolds and provide two examples.

Although around 99% of companies in China today are small- and medium-sized enterprises (SMEs), their innovative status is not optimistic, being constrained by lack of funding, size, and experience. Nevertheless, disruptive innovation provides an opportunity for SMEs to surpass the large companies. This paper analyses external and internal factors influencing disruptive innovation in SMEs, and compares those factors between low-end disruption and high-end disruption. The results of this empirical study suggest that factors influencing high-end disruptive innovation include government support, external knowledge sources, strategic support, and dominant position of R&D; while the factors influencing low-end disruptive innovation are cooperation with venture capitalists, external knowledge sources, dominant position of R&D, and entrepreneurs’ innovation willingness. Two case studies are described to illustrate our results.

Innovation scholars highlight the economic benefits to firms, while research findings on the relationship between innovation output and economic returns remain mixed. In this study, we develop the profiting from innovation (PFI) framework and address the crucial role of financial constraints in the relationship between innovation output and financial performance. We argue that the liability of newness differentiates firms’ financial performance during the commercialization of innovation, leading to a U-shaped relationship between firms’ innovation output and financial performance. We further document the moderating impact of individual financial constraints (IFC) and market-based financial constraints (MFC) on this curvilinear relationship. Empirical tests based on the 142,972 firm-year observations of the multi-source dataset of Chinese manufacturing firms from 1999–2009 support our hypotheses. The additional analysis shows that non-state-owned enterprises and small and medium enterprises benefit more from the synergistic effect of reductions of IFC and MFC than state-owned enterprises and large firms. Our study enriches the literature of the PFI framework by uncovering the mechanism between innovation output and economic returns where financial constraints play an essential role. To the best of our knowledge, we are among the first to investigate the processes and mechanisms between innovation output and financial performance, generating novel insights for business practitioners and policymakers.

With the increasing number of female senior executives, the relationship between female senior executives and corporate innovation behaviors has attracted widespread attention, but few works have studied the influences of female CEOs on innovation behaviors and their mechanisms. This paper studies the relationship between CEO’s gender and the selection of corporate innovation behaviors, as well as the regulating effect of gender culture on the relationship between them. It was discovered in the studies that (1) if compared with male CEOs, female CEOs have significantly promoted both incremental innovation behaviors and radical innovation behaviors; (2) gender culture has positively regulated the relationship between CEO’s gender and corporate incremental innovation behaviors, yet the regulating effect of gender culture on the relationship between CEO’s gender and corporate radical innovation behaviors is not significant. Thus, the government needs to further foster a gender culture with gender equality, and actively promote the positive effect of female CEOs in corporate innovations.