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 |
|---|---|---|---|---|---|---|---|---|---|
| 3853 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6036 | 0.7534 | 0.8013 | [X:[1.6046], M:[0.8137, 0.768, 1.1863, 0.3954, 0.8137, 1.0114, 0.9886], q:[0.2966, 0.8897], qb:[0.5171, 0.7149], phi:[0.3954]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [12], [10], [-10]], q:[[-3], [-9]], qb:[[15], [13]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | t^2.304 + t^2.373 + 2*t^2.441 + t^2.966 + t^3.034 + t^3.627 + t^4.221 + t^4.289 + t^4.608 + t^4.677 + 3*t^4.745 + 3*t^4.814 + 3*t^4.882 + t^5.27 + t^5.338 + 2*t^5.407 + 2*t^5.475 + t^5.931 - t^6. + 2*t^6.069 + 2*t^6.662 + 2*t^6.73 + t^6.912 + t^6.981 + 3*t^7.049 + 3*t^7.118 + 4*t^7.186 + 4*t^7.255 + 4*t^7.323 + t^7.574 + t^7.642 + 2*t^7.711 + t^7.779 + 2*t^7.848 + 3*t^7.917 + t^8.235 - 2*t^8.304 - t^8.373 - 3*t^8.441 + 3*t^8.51 + t^8.578 - 2*t^8.966 - t^4.186/y - t^6.49/y - t^6.559/y - t^6.627/y + t^7.677/y + (3*t^7.745)/y + (3*t^7.814)/y + (2*t^7.882)/y + t^8.27/y + (2*t^8.338)/y + (3*t^8.407)/y + (2*t^8.475)/y - t^8.794/y - t^8.863/y - t^8.931/y - t^4.186*y - t^6.49*y - t^6.559*y - t^6.627*y + t^7.677*y + 3*t^7.745*y + 3*t^7.814*y + 2*t^7.882*y + t^8.27*y + 2*t^8.338*y + 3*t^8.407*y + 2*t^8.475*y - t^8.794*y - t^8.863*y - t^8.931*y | t^2.304/g1^28 + t^2.373/g1^8 + 2*g1^12*t^2.441 + t^2.966/g1^10 + g1^10*t^3.034 + g1^8*t^3.627 + g1^6*t^4.221 + g1^26*t^4.289 + t^4.608/g1^56 + t^4.677/g1^36 + (3*t^4.745)/g1^16 + 3*g1^4*t^4.814 + 3*g1^24*t^4.882 + t^5.27/g1^38 + t^5.338/g1^18 + 2*g1^2*t^5.407 + 2*g1^22*t^5.475 + t^5.931/g1^20 - t^6. + 2*g1^20*t^6.069 + 2*g1^18*t^6.662 + 2*g1^38*t^6.73 + t^6.912/g1^84 + t^6.981/g1^64 + (3*t^7.049)/g1^44 + (3*t^7.118)/g1^24 + (4*t^7.186)/g1^4 + 4*g1^16*t^7.255 + 4*g1^36*t^7.323 + t^7.574/g1^66 + t^7.642/g1^46 + (2*t^7.711)/g1^26 + t^7.779/g1^6 + 2*g1^14*t^7.848 + 3*g1^34*t^7.917 + t^8.235/g1^48 - (2*t^8.304)/g1^28 - t^8.373/g1^8 - 3*g1^12*t^8.441 + 3*g1^32*t^8.51 + g1^52*t^8.578 - (2*t^8.966)/g1^10 - t^4.186/(g1^4*y) - t^6.49/(g1^32*y) - t^6.559/(g1^12*y) - (g1^8*t^6.627)/y + t^7.677/(g1^36*y) + (3*t^7.745)/(g1^16*y) + (3*g1^4*t^7.814)/y + (2*g1^24*t^7.882)/y + t^8.27/(g1^38*y) + (2*t^8.338)/(g1^18*y) + (3*g1^2*t^8.407)/y + (2*g1^22*t^8.475)/y - t^8.794/(g1^60*y) - t^8.863/(g1^40*y) - t^8.931/(g1^20*y) - (t^4.186*y)/g1^4 - (t^6.49*y)/g1^32 - (t^6.559*y)/g1^12 - g1^8*t^6.627*y + (t^7.677*y)/g1^36 + (3*t^7.745*y)/g1^16 + 3*g1^4*t^7.814*y + 2*g1^24*t^7.882*y + (t^8.27*y)/g1^38 + (2*t^8.338*y)/g1^18 + 3*g1^2*t^8.407*y + 2*g1^22*t^8.475*y - (t^8.794*y)/g1^60 - (t^8.863*y)/g1^40 - (t^8.931*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5460 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{6}M_{8}$ | 0.6051 | 0.7559 | 0.8005 | [X:[1.6083], M:[0.825, 0.7416, 1.175, 0.3917, 0.825, 1.0209, 0.9791, 0.9791], q:[0.2937, 0.8812], qb:[0.5313, 0.7271], phi:[0.3917]] | t^2.225 + t^2.35 + 2*t^2.475 + 2*t^2.937 + t^3.65 + t^4.238 + t^4.363 + t^4.45 + t^4.575 + 3*t^4.7 + 3*t^4.825 + 3*t^4.95 + 2*t^5.162 + t^5.287 + 3*t^5.413 + 3*t^5.875 - 2*t^6. - t^4.175/y - t^4.175*y | detail | |
| 5457 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{7}M_{8}$ | 0.603 | 0.7529 | 0.801 | [X:[1.6007], M:[0.8022, 0.795, 1.1978, 0.3993, 0.8022, 1.0018, 0.9982, 1.0018], q:[0.2995, 0.8984], qb:[0.5027, 0.7023], phi:[0.3993]] | t^2.385 + t^2.396 + 2*t^2.406 + 2*t^3.005 + t^3.604 + t^4.203 + t^4.214 + t^4.77 + t^4.781 + 3*t^4.791 + 3*t^4.802 + 3*t^4.813 + t^5.39 + t^5.401 + 4*t^5.412 - 2*t^6. - t^4.198/y - t^4.198*y | detail | |
| 5462 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6208 | 0.7837 | 0.7921 | [X:[1.6064], M:[0.8191, 0.7554, 1.1809, 0.3936, 0.8191, 1.0159, 0.9841, 0.7873], q:[0.2952, 0.8857], qb:[0.5239, 0.7207], phi:[0.3936]] | t^2.266 + 2*t^2.362 + 2*t^2.457 + t^2.952 + t^3.048 + t^4.229 + t^4.324 + t^4.532 + 2*t^4.628 + 5*t^4.724 + 5*t^4.819 + 3*t^4.915 + t^5.218 + 2*t^5.314 + 3*t^5.41 + 2*t^5.505 - 2*t^6. - t^4.181/y - t^4.181*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6726 | 0.8559 | 0.7859 | [X:[1.6134], M:[0.8401, 0.7063, 1.1599, 0.3866, 0.8401, 0.7607, 0.6938], q:[0.4264, 0.7335], qb:[0.4138, 0.8799], phi:[0.3866]] | t^2.081 + t^2.119 + t^2.282 + t^2.32 + 2*t^2.52 + t^3.442 + t^3.643 + t^3.68 + t^4.163 + t^4.2 + t^4.238 + t^4.363 + 2*t^4.401 + t^4.439 + t^4.564 + 3*t^4.602 + 3*t^4.639 + 2*t^4.802 + 3*t^4.84 + 3*t^5.041 + t^5.523 + t^5.561 + 2*t^5.724 + 2*t^5.762 + t^5.925 + 3*t^5.962 - 2*t^6. - t^4.16/y - t^4.16*y | detail |