Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 56730 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6894 | 0.8769 | 0.7862 | [M:[1.1701, 1.0747, 0.8299, 0.8119, 1.0567, 0.6985, 0.7164], q:[0.406, 0.4239], qb:[0.5194, 0.7642], phi:[0.4716]] | [M:[[12], [-30], [-12], [22], [4], [14], [-20]], q:[[11], [-23]], qb:[[19], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.095 + t^2.149 + t^2.436 + t^2.49 + t^2.83 + t^3.17 + t^3.224 + t^3.51 + t^3.851 + t^3.958 + 2*t^4.191 + 2*t^4.245 + t^4.299 + 2*t^4.531 + 2*t^4.585 + t^4.639 + t^4.871 + 2*t^4.925 + 2*t^4.979 + 2*t^5.266 + 3*t^5.319 + t^5.373 + 2*t^5.606 + 3*t^5.66 + t^5.946 + t^6.054 + t^6.108 + 2*t^6.286 + 3*t^6.34 + 3*t^6.394 + 3*t^6.448 + 3*t^6.627 + 5*t^6.681 + 2*t^6.734 + 2*t^6.788 + 2*t^6.967 + 4*t^7.021 + 2*t^7.075 + t^7.129 + t^7.182 + t^7.307 + 4*t^7.361 + 3*t^7.415 + 4*t^7.469 + t^7.523 + 3*t^7.701 + 4*t^7.755 + 3*t^7.809 + t^7.917 + 3*t^8.042 + t^8.149 + 2*t^8.203 + t^8.257 + 3*t^8.382 + 4*t^8.49 + 4*t^8.543 + 3*t^8.597 + 4*t^8.722 + 5*t^8.776 + 3*t^8.83 + 4*t^8.884 + 3*t^8.938 - t^4.415/y - t^6.51/y - t^6.564/y - t^6.851/y + t^7.191/y + t^7.245/y + t^7.531/y + (2*t^7.585)/y + (2*t^7.925)/y + (2*t^7.979)/y + (3*t^8.266)/y + (4*t^8.319)/y + t^8.373/y + t^8.606/y + (2*t^8.66)/y + t^8.946/y - t^4.415*y - t^6.51*y - t^6.564*y - t^6.851*y + t^7.191*y + t^7.245*y + t^7.531*y + 2*t^7.585*y + 2*t^7.925*y + 2*t^7.979*y + 3*t^8.266*y + 4*t^8.319*y + t^8.373*y + t^8.606*y + 2*t^8.66*y + t^8.946*y | g1^14*t^2.095 + t^2.149/g1^20 + g1^22*t^2.436 + t^2.49/g1^12 + t^2.83/g1^4 + g1^4*t^3.17 + t^3.224/g1^30 + g1^12*t^3.51 + g1^20*t^3.851 + t^3.958/g1^48 + 2*g1^28*t^4.191 + (2*t^4.245)/g1^6 + t^4.299/g1^40 + 2*g1^36*t^4.531 + 2*g1^2*t^4.585 + t^4.639/g1^32 + g1^44*t^4.871 + 2*g1^10*t^4.925 + (2*t^4.979)/g1^24 + 2*g1^18*t^5.266 + (3*t^5.319)/g1^16 + t^5.373/g1^50 + 2*g1^26*t^5.606 + (3*t^5.66)/g1^8 + g1^34*t^5.946 + t^6.054/g1^34 + t^6.108/g1^68 + 2*g1^42*t^6.286 + 3*g1^8*t^6.34 + (3*t^6.394)/g1^26 + (3*t^6.448)/g1^60 + 3*g1^50*t^6.627 + 5*g1^16*t^6.681 + (2*t^6.734)/g1^18 + (2*t^6.788)/g1^52 + 2*g1^58*t^6.967 + 4*g1^24*t^7.021 + (2*t^7.075)/g1^10 + t^7.129/g1^44 + t^7.182/g1^78 + g1^66*t^7.307 + 4*g1^32*t^7.361 + (3*t^7.415)/g1^2 + (4*t^7.469)/g1^36 + t^7.523/g1^70 + 3*g1^40*t^7.701 + 4*g1^6*t^7.755 + (3*t^7.809)/g1^28 + t^7.917/g1^96 + 3*g1^48*t^8.042 + t^8.149/g1^20 + (2*t^8.203)/g1^54 + t^8.257/g1^88 + 3*g1^56*t^8.382 + (4*t^8.49)/g1^12 + (4*t^8.543)/g1^46 + (3*t^8.597)/g1^80 + 4*g1^64*t^8.722 + 5*g1^30*t^8.776 + (3*t^8.83)/g1^4 + (4*t^8.884)/g1^38 + (3*t^8.938)/g1^72 - t^4.415/(g1^2*y) - (g1^12*t^6.51)/y - t^6.564/(g1^22*y) - (g1^20*t^6.851)/y + (g1^28*t^7.191)/y + t^7.245/(g1^6*y) + (g1^36*t^7.531)/y + (2*g1^2*t^7.585)/y + (2*g1^10*t^7.925)/y + (2*t^7.979)/(g1^24*y) + (3*g1^18*t^8.266)/y + (4*t^8.319)/(g1^16*y) + t^8.373/(g1^50*y) + (g1^26*t^8.606)/y + (2*t^8.66)/(g1^8*y) + (g1^34*t^8.946)/y - (t^4.415*y)/g1^2 - g1^12*t^6.51*y - (t^6.564*y)/g1^22 - g1^20*t^6.851*y + g1^28*t^7.191*y + (t^7.245*y)/g1^6 + g1^36*t^7.531*y + 2*g1^2*t^7.585*y + 2*g1^10*t^7.925*y + (2*t^7.979*y)/g1^24 + 3*g1^18*t^8.266*y + (4*t^8.319*y)/g1^16 + (t^8.373*y)/g1^50 + g1^26*t^8.606*y + (2*t^8.66*y)/g1^8 + g1^34*t^8.946*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 58846 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.6947 | 0.8858 | 0.7843 | [M:[1.1721, 1.0697, 0.8279, 0.8155, 1.0574, 0.7008, 0.7131, 0.9426], q:[0.4078, 0.4201], qb:[0.5225, 0.7643], phi:[0.4713]] | t^2.102 + t^2.139 + t^2.447 + t^2.484 + 2*t^2.828 + t^3.209 + t^3.516 + t^3.861 + t^3.935 + 2*t^4.205 + 2*t^4.242 + t^4.279 + 2*t^4.549 + 2*t^4.586 + t^4.623 + t^4.893 + 3*t^4.93 + 3*t^4.967 + 2*t^5.275 + 3*t^5.312 + t^5.349 + t^5.619 + 4*t^5.656 + t^5.963 - t^6. - t^4.414/y - t^4.414*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 55099 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6693 | 0.8394 | 0.7974 | [M:[1.167, 1.0824, 0.833, 0.8062, 1.0557, 0.6949], q:[0.4031, 0.4299], qb:[0.5145, 0.7639], phi:[0.4722]] | t^2.085 + t^2.419 + t^2.499 + t^2.833 + t^3.167 + t^3.247 + t^3.501 + 2*t^3.835 + t^3.996 + 2*t^4.169 + t^4.249 + 2*t^4.503 + t^4.584 + t^4.837 + 2*t^4.918 + t^4.998 + 2*t^5.252 + 2*t^5.332 + 2*t^5.586 + 2*t^5.666 + 2*t^5.92 - t^6. - t^4.416/y - t^4.416*y | detail |