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 |
|---|---|---|---|---|---|---|---|---|---|
| 862 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ | 0.6345 | 0.7831 | 0.8102 | [X:[1.5667], M:[0.4333, 1.1889, 0.7834, 0.8665, 0.8111], q:[0.7972, 0.7695], qb:[0.4471, 0.364], phi:[0.4055]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.35 + 2*t^2.433 + t^2.6 + t^3.4 + t^3.484 + t^3.65 + t^3.733 + t^3.899 + t^4.617 + 2*t^4.7 + t^4.783 + 4*t^4.867 + t^4.95 + t^5.033 + t^5.199 + 4*t^5.834 + t^5.917 - 2*t^6. + 3*t^6.083 + t^6.166 + 3*t^6.333 + t^6.499 + t^6.801 + t^6.884 - t^6.967 + 3*t^7.05 + 2*t^7.133 + 7*t^7.3 + 2*t^7.383 + t^7.466 + 2*t^7.549 + 2*t^7.633 + 2*t^7.799 + t^8.017 + t^8.101 + 4*t^8.267 - 4*t^8.433 + 3*t^8.516 + 4*t^8.766 + 2*t^8.932 - t^4.217/y - t^6.567/y - t^6.65/y - t^6.816/y + t^7.617/y + (3*t^7.783)/y + (2*t^7.867)/y + t^7.95/y + (2*t^8.033)/y + t^8.75/y + (3*t^8.834)/y + t^8.917/y - t^4.217*y - t^6.567*y - t^6.65*y - t^6.816*y + t^7.617*y + 3*t^7.783*y + 2*t^7.867*y + t^7.95*y + 2*t^8.033*y + t^8.75*y + 3*t^8.834*y + t^8.917*y | g1^6*t^2.35 + (2*t^2.433)/g1^4 + t^2.6/g1^24 + g1^24*t^3.4 + g1^14*t^3.484 + t^3.65/g1^6 + t^3.733/g1^16 + t^3.899/g1^36 + g1^22*t^4.617 + 2*g1^12*t^4.7 + g1^2*t^4.783 + (4*t^4.867)/g1^8 + t^4.95/g1^18 + t^5.033/g1^28 + t^5.199/g1^48 + 4*g1^20*t^5.834 + g1^10*t^5.917 - 2*t^6. + (3*t^6.083)/g1^10 + t^6.166/g1^20 + (3*t^6.333)/g1^40 + t^6.499/g1^60 + g1^48*t^6.801 + g1^38*t^6.884 - g1^28*t^6.967 + 3*g1^18*t^7.05 + 2*g1^8*t^7.133 + (7*t^7.3)/g1^12 + (2*t^7.383)/g1^22 + t^7.466/g1^32 + (2*t^7.549)/g1^42 + (2*t^7.633)/g1^52 + (2*t^7.799)/g1^72 + g1^46*t^8.017 + g1^36*t^8.101 + 4*g1^16*t^8.267 - (4*t^8.433)/g1^4 + (3*t^8.516)/g1^14 + (4*t^8.766)/g1^44 + (2*t^8.932)/g1^64 - t^4.217/(g1^2*y) - (g1^4*t^6.567)/y - t^6.65/(g1^6*y) - t^6.816/(g1^26*y) + (g1^22*t^7.617)/y + (3*g1^2*t^7.783)/y + (2*t^7.867)/(g1^8*y) + t^7.95/(g1^18*y) + (2*t^8.033)/(g1^28*y) + (g1^30*t^8.75)/y + (3*g1^20*t^8.834)/y + (g1^10*t^8.917)/y - (t^4.217*y)/g1^2 - g1^4*t^6.567*y - (t^6.65*y)/g1^6 - (t^6.816*y)/g1^26 + g1^22*t^7.617*y + 3*g1^2*t^7.783*y + (2*t^7.867*y)/g1^8 + (t^7.95*y)/g1^18 + (2*t^8.033*y)/g1^28 + g1^30*t^8.75*y + 3*g1^20*t^8.834*y + g1^10*t^8.917*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 |
|---|---|---|---|---|---|---|---|---|
| 1354 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.652 | 0.8141 | 0.8009 | [X:[1.5634], M:[0.4366, 1.1878, 0.7817, 0.8733, 0.8122, 0.7817], q:[0.7969, 0.7664], qb:[0.4519, 0.3603], phi:[0.4061]] | 2*t^2.345 + 2*t^2.437 + t^2.62 + t^3.38 + t^3.472 + t^3.747 + t^3.93 + t^4.599 + 4*t^4.69 + 3*t^4.782 + 4*t^4.873 + 2*t^4.965 + t^5.056 + t^5.24 + t^5.725 + 5*t^5.817 + t^5.908 - 3*t^6. - t^4.218/y - t^4.218*y | detail | |
| 1355 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6552 | 0.8231 | 0.7959 | [X:[1.5625], M:[0.4375, 1.1875, 0.7812, 0.8751, 0.8125, 0.6874], q:[0.7969, 0.7656], qb:[0.4532, 0.3593], phi:[0.4063]] | t^2.062 + t^2.344 + 2*t^2.438 + t^2.625 + t^3.375 + t^3.469 + t^3.656 + t^3.75 + t^4.124 + t^4.406 + 2*t^4.5 + t^4.594 + 3*t^4.687 + t^4.781 + 4*t^4.875 + t^4.969 + t^5.063 + t^5.25 + t^5.437 + t^5.531 + t^5.719 + 5*t^5.812 + t^5.906 - 2*t^6. - t^4.219/y - t^4.219*y | detail | |
| 2031 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6535 | 0.8177 | 0.7992 | [X:[1.5601], M:[0.4399, 1.1867, 0.78, 0.8799, 0.8133, 0.7468], q:[0.7967, 0.7634], qb:[0.4566, 0.3567], phi:[0.4067]] | t^2.24 + t^2.34 + 2*t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.66 + t^3.959 + t^4.481 + 2*t^4.58 + 4*t^4.68 + t^4.78 + 5*t^4.88 + t^4.98 + t^5.079 + t^5.279 + t^5.601 + t^5.701 + 4*t^5.8 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 2030 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6489 | 0.8087 | 0.8024 | [X:[1.5766], M:[0.4234, 1.1922, 0.7883, 0.8467, 0.8078, 0.8273], q:[0.7981, 0.7786], qb:[0.4331, 0.3747], phi:[0.4039]] | t^2.365 + 2*t^2.423 + t^2.482 + t^2.54 + t^3.46 + t^3.635 + t^3.693 + t^3.81 + t^4.671 + 2*t^4.73 + t^4.788 + 5*t^4.847 + 3*t^4.905 + 2*t^4.964 + t^5.022 + t^5.08 + 3*t^5.883 - 2*t^6. - t^4.212/y - t^4.212*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 |
|---|---|---|---|---|---|---|---|---|---|
| 549 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.346 + t^2.436 + t^2.616 + t^3.384 + t^3.474 + t^3.564 + t^3.654 + t^3.744 + t^3.924 + t^4.602 + 2*t^4.692 + 2*t^4.872 + t^4.962 + t^5.231 + 3*t^5.82 + t^5.91 - t^6. - t^4.218/y - t^4.218*y | detail |