Cyclically Deformed Defects and Topological Mass Constraints

Figure 1

First family (first column) and second family (second column) of 3-cyclically deformed defects. The figure shows the results for the primitive defects (red lines): 𝜙(𝑠), 𝑦_𝜙(𝑠)=𝑑𝜙/𝑑𝑠, and 𝑉(𝜙); for the kink-like deformed defects (blue lines): 𝜑(𝑠), 𝑥_𝜑(𝑠)=𝑑𝜑/𝑑𝑠, and 𝑈(𝜑); and for the lump-like deformed defects (black lines): 𝜓^(𝑛)(𝑠), 𝑧_𝜓(𝑠)=𝑑𝜓^(𝑛)/𝑑𝑠, and 𝑊(𝜓). The solutions related to 𝜓^(𝑛)(𝑠) are computed for 𝑛 = 1/2 (thick line), 1 (thin line), 2 (long-dashed line), 3 (short-dashed line), and 4 (dotted line).

(a)

(b)