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 |
|---|---|---|---|---|---|---|---|---|---|
| 46992 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6202 | 0.7596 | 0.8165 | [X:[1.6142], M:[0.3858, 0.7007, 1.1574, 0.8426, 1.2284, 0.7695], q:[0.8415, 0.7727], qb:[0.4578, 0.3848], phi:[0.3858]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [0, 2], [2, 0]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.102 + t^2.309 + t^2.528 + t^3.466 + t^3.472 + t^3.679 + 2*t^3.685 + t^3.904 + t^4.204 + t^4.411 + t^4.617 + t^4.63 + t^4.836 + t^4.843 + t^5.055 + t^5.568 + t^5.574 + t^5.775 + t^5.781 + t^5.787 + t^5.987 + 2*t^5.994 - 2*t^6. + t^6.207 + 2*t^6.213 - t^6.219 + t^6.306 + t^6.432 + t^6.513 + t^6.719 + t^6.732 + t^6.926 + t^6.932 + t^6.938 + t^6.945 + 2*t^7.145 + 2*t^7.151 - t^7.164 + t^7.358 + 2*t^7.364 + t^7.37 - t^7.377 + t^7.583 + t^7.589 + t^7.67 + t^7.676 + t^7.809 + t^7.877 + t^7.883 + t^7.889 + t^8.083 + t^8.089 + t^8.096 - 2*t^8.102 + t^8.296 + 2*t^8.302 - 2*t^8.309 + t^8.315 - t^8.321 + t^8.408 + t^8.515 + 2*t^8.521 - 3*t^8.528 - t^8.534 + t^8.614 + t^8.734 + t^8.741 - t^8.747 + t^8.821 + t^8.834 + t^8.96 - t^4.157/y - t^6.259/y - t^6.466/y + t^7.411/y + t^7.63/y + t^7.836/y + t^7.849/y + t^8.055/y - t^8.361/y + t^8.574/y + (2*t^8.781)/y + (2*t^8.787)/y + t^8.987/y + (3*t^8.994)/y - t^4.157*y - t^6.259*y - t^6.466*y + t^7.411*y + t^7.63*y + t^7.836*y + t^7.849*y + t^8.055*y - t^8.361*y + t^8.574*y + 2*t^8.781*y + 2*t^8.787*y + t^8.987*y + 3*t^8.994*y | t^2.102/g2^7 + g1^2*t^2.309 + g2^3*t^2.528 + (g1^2*t^3.466)/g2 + t^3.472/g2^3 + g1^2*g2^4*t^3.679 + 2*g2^2*t^3.685 + (g2^5*t^3.904)/g1^2 + t^4.204/g2^14 + (g1^2*t^4.411)/g2^7 + g1^4*t^4.617 + t^4.63/g2^4 + g1^2*g2^3*t^4.836 + g2*t^4.843 + g2^6*t^5.055 + (g1^2*t^5.568)/g2^8 + t^5.574/g2^10 + (g1^4*t^5.775)/g2 + (g1^2*t^5.781)/g2^3 + t^5.787/g2^5 + g1^4*g2^4*t^5.987 + 2*g1^2*g2^2*t^5.994 - 2*t^6. + g1^2*g2^7*t^6.207 + 2*g2^5*t^6.213 - (g2^3*t^6.219)/g1^2 + t^6.306/g2^21 + (g2^8*t^6.432)/g1^2 + (g1^2*t^6.513)/g2^14 + (g1^4*t^6.719)/g2^7 + t^6.732/g2^11 + g1^6*t^6.926 + (g1^4*t^6.932)/g2^2 + (g1^2*t^6.938)/g2^4 + t^6.945/g2^6 + 2*g1^4*g2^3*t^7.145 + 2*g1^2*g2*t^7.151 - t^7.164/(g1^2*g2^3) + g1^4*g2^8*t^7.358 + 2*g1^2*g2^6*t^7.364 + g2^4*t^7.37 - (g2^2*t^7.377)/g1^2 + g2^9*t^7.583 + (g2^7*t^7.589)/g1^2 + (g1^2*t^7.67)/g2^15 + t^7.676/g2^17 + (g2^10*t^7.809)/g1^4 + (g1^4*t^7.877)/g2^8 + (g1^2*t^7.883)/g2^10 + t^7.889/g2^12 + (g1^6*t^8.083)/g2 + (g1^4*t^8.089)/g2^3 + (g1^2*t^8.096)/g2^5 - (2*t^8.102)/g2^7 + g1^6*g2^4*t^8.296 + 2*g1^4*g2^2*t^8.302 - 2*g1^2*t^8.309 + t^8.315/g2^2 - t^8.321/(g1^2*g2^4) + t^8.408/g2^28 + g1^4*g2^7*t^8.515 + 2*g1^2*g2^5*t^8.521 - 3*g2^3*t^8.528 - (g2*t^8.534)/g1^2 + (g1^2*t^8.614)/g2^21 + g1^2*g2^10*t^8.734 + g2^8*t^8.741 - (g2^6*t^8.747)/g1^2 + (g1^4*t^8.821)/g2^14 + t^8.834/g2^18 + (g2^11*t^8.96)/g1^2 - t^4.157/(g2*y) - t^6.259/(g2^8*y) - (g1^2*t^6.466)/(g2*y) + (g1^2*t^7.411)/(g2^7*y) + t^7.63/(g2^4*y) + (g1^2*g2^3*t^7.836)/y + t^7.849/(g1^2*g2*y) + (g2^6*t^8.055)/y - t^8.361/(g2^15*y) + t^8.574/(g2^10*y) + (2*g1^2*t^8.781)/(g2^3*y) + (2*t^8.787)/(g2^5*y) + (g1^4*g2^4*t^8.987)/y + (3*g1^2*g2^2*t^8.994)/y - (t^4.157*y)/g2 - (t^6.259*y)/g2^8 - (g1^2*t^6.466*y)/g2 + (g1^2*t^7.411*y)/g2^7 + (t^7.63*y)/g2^4 + g1^2*g2^3*t^7.836*y + (t^7.849*y)/(g1^2*g2) + g2^6*t^8.055*y - (t^8.361*y)/g2^15 + (t^8.574*y)/g2^10 + (2*g1^2*t^8.781*y)/g2^3 + (2*t^8.787*y)/g2^5 + g1^4*g2^4*t^8.987*y + 3*g1^2*g2^2*t^8.994*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 |
|---|---|---|---|---|---|---|---|---|
| 55378 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6191 | 0.7561 | 0.8187 | [X:[1.614], M:[0.386, 0.7018, 1.1579, 0.8421, 1.2281, 0.807], q:[0.8596, 0.7544], qb:[0.4386, 0.4035], phi:[0.386]] | t^2.105 + t^2.421 + t^2.526 + t^3.474 + t^3.579 + 2*t^3.684 + 2*t^3.789 + t^4.211 + t^4.526 + t^4.632 + 2*t^4.842 + t^4.947 + t^5.053 + t^5.579 + t^5.684 + t^5.789 + t^5.895 - t^6. - t^4.158/y - t^4.158*y | detail | {a: 10727/17328, c: 6551/8664, X1: 92/57, M1: 22/57, M2: 40/57, M3: 22/19, M4: 16/19, M5: 70/57, M6: 46/57, q1: 49/57, q2: 43/57, qb1: 25/57, qb2: 23/57, phi1: 22/57} |
| 55356 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6409 | 0.8002 | 0.8009 | [X:[1.6151], M:[0.3849, 0.6942, 1.1547, 0.8453, 1.2302, 0.7631, 0.6875], q:[0.842, 0.7731], qb:[0.4638, 0.3815], phi:[0.3849]] | t^2.063 + t^2.083 + t^2.289 + t^2.536 + t^3.444 + t^3.464 + t^3.671 + 2*t^3.691 + t^4.125 + t^4.145 + t^4.165 + t^4.352 + t^4.372 + t^4.579 + t^4.599 + t^4.619 + t^4.825 + t^4.845 + t^5.072 + t^5.507 + 2*t^5.527 + t^5.547 + 2*t^5.733 + 3*t^5.753 + t^5.773 + t^5.96 + 2*t^5.98 - 2*t^6. - t^4.155/y - t^4.155*y | detail | |
| 55368 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6351 | 0.7843 | 0.8098 | [X:[1.6135], M:[0.3865, 0.7055, 1.1595, 0.8405, 1.227, 0.8067, 0.8067], q:[0.8574, 0.7561], qb:[0.4371, 0.4034], phi:[0.3865]] | t^2.117 + 2*t^2.42 + t^2.521 + t^3.479 + 2*t^3.681 + 2*t^3.782 + t^4.233 + 2*t^4.537 + t^4.638 + 4*t^4.84 + 2*t^4.942 + t^5.043 + t^5.595 + t^5.798 + 2*t^5.899 - 2*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46713 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 0.698, 1.1563, 0.8437, 1.2291], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | t^2.094 + t^2.531 + t^3.469 + 2*t^3.578 + 2*t^3.687 + 2*t^3.797 + t^4.188 + t^4.625 + t^4.844 + t^5.062 + t^5.563 + 2*t^5.672 + t^5.781 - 2*t^6. - t^4.156/y - t^4.156*y | detail |