Initial Systematic Investigations of the Landscape of Low-Layer NAHE Variation Extensions

Table 1

The basis vectors and GSO coefficients of the NAHE variation arranged into sets of matching boundary conditions. The worldsheet fermions 𝜓, 𝑥^𝑖, 𝜓^𝑖, 𝜂^𝑖, and 𝜙^𝑖 are expressed in a complex basis, while 𝑦^𝑖, 𝑤^𝑖, 𝑦^𝑖, and 𝑤^𝑖 are expressed in a real basis.

Sec	𝑂	𝜓	𝑥^12	𝑥^34	𝑥^56	𝜓^1,…,5	𝜂^1	𝜂^2	𝜂^3	𝜙^1,…,8	𝑦^12||𝑦^12	𝑦^34||𝑦^34	𝑦^56||𝑦^56	𝑤^1,…,6||𝑤^1,…,6
𝟙	2	1	1	1	1	1,…,1	1	1	1	1,…,1	1||1	1||1	1||1	1,…,1||1,…,1
𝑆	2	1	1	1	1	0,…,0	0	0	0	0,…,0	0||0	0||0	0||0	0,…,0||0,…,0
𝑏1	2	1	1	0	0	1,…,1	1	0	0	0,…,0	0||0	1||1	1||1	0,…,0||0,…,0
𝑏2	2	1	0	1	0	1,…,1	0	1	0	0,…,0	1||1	0||0	1||1	0,…,0||0,…,0
𝑏3	2	1	0	0	1	1,…,1	0	0	1	0,…,0	1||1	1||1	0||0	0,…,0||0,…,0
𝑘𝑖𝑗=𝟙𝑆𝑏1𝑏2𝑏3𝟙𝑆10111𝑏000001𝑏111112𝑏11111311111