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

Table 9

A near mirrored, NAHE variation order-3 extension.

(a) Basis vector

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

𝑣

3

1

1

0

0

0,…,0

2/3

2/3

2/3

0,…,0,2/3,2/3,2/3

0,0||0,0

1,1||0,0

1,1||0,0

0,0,0,0,0,0||0,0,0,0,0,0

𝑘_𝑣,𝑗=(0,0,0,0,0)

(b) Particle content

QTY	𝑆𝑈(2)	𝑆𝑈(2)	𝑆𝑈(2)	𝑆𝑈(2)	𝑆𝑈(2)	𝑆𝑈(2)	𝑆𝑂(16)	𝑆𝑂(16)
1	2	2	2	2	1	1	1	1
1	2	2	2	1	1	2	1	1
1	2	2	1	2	2	1	1	1
1	2	2	1	1	2	2	1	1
1	2	2	1	1	1	1	16	1
1	2	1	2	2	2	1	1	1
1	2	1	2	1	2	2	1	1
1	2	1	2	1	1	1	16	1
1	2	1	1	2	1	1	1	16
1	2	1	1	1	2	1	16	1
1	2	1	1	1	1	2	1	16
1	1	2	2	2	2	1	1	1
1	1	2	2	1	2	2	1	1
1	1	2	2	1	1	1	16	1
1	1	2	1	2	1	1	1	16
1	1	2	1	1	2	1	16	1
1	1	2	1	1	1	2	1	16
1	1	1	2	2	1	1	1	16
1	1	1	2	1	2	1	16	1
1	1	1	2	1	1	2	1	16
1	1	1	1	2	2	1	1	16
1	1	1	1	2	1	2	16	1
1	1	1	1	1	2	2	1	16
1	1	1	1	1	1	1	128	1
1	1	1	1	1	1	1	16	16