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 |
|---|---|---|---|---|---|---|---|---|---|
| 566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6647 | 0.8522 | 0.78 | [M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | [M:[[2], [-2], [2], [-2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1 | t^2.056 + 2*t^2.444 + 2*t^2.528 + t^3. + 2*t^3.472 + 2*t^3.944 + 2*t^4.028 + 2*t^4.112 + 2*t^4.5 + 2*t^4.584 + 3*t^4.888 + 4*t^4.972 + 4*t^5.056 + 2*t^5.444 + 4*t^5.528 + 2*t^5.916 + t^6. + 2*t^6.168 + 4*t^6.388 + 6*t^6.472 + 6*t^6.556 + 4*t^6.64 + 4*t^6.944 + 2*t^7.028 + 4*t^7.112 + 4*t^7.332 + 6*t^7.416 + 4*t^7.5 + 6*t^7.584 + 5*t^7.888 + 6*t^7.972 + 5*t^8.056 + 2*t^8.14 + 3*t^8.224 + 2*t^8.36 - 2*t^8.444 - 2*t^8.528 + 2*t^8.612 + 4*t^8.696 + 6*t^8.832 + 8*t^8.916 - t^4.5/y - t^6.556/y - t^6.944/y + (2*t^7.5)/y + (2*t^7.584)/y + t^7.888/y + (4*t^7.972)/y + (3*t^8.056)/y + (3*t^8.444)/y + (4*t^8.528)/y - t^8.612/y + (4*t^8.916)/y - t^4.5*y - t^6.556*y - t^6.944*y + 2*t^7.5*y + 2*t^7.584*y + t^7.888*y + 4*t^7.972*y + 3*t^8.056*y + 3*t^8.444*y + 4*t^8.528*y - t^8.612*y + 4*t^8.916*y | t^2.056/g1^2 + 2*g1^2*t^2.444 + (2*t^2.528)/g1 + t^3. + 2*g1*t^3.472 + 2*g1^2*t^3.944 + (2*t^4.028)/g1 + (2*t^4.112)/g1^4 + 2*t^4.5 + (2*t^4.584)/g1^3 + 3*g1^4*t^4.888 + 4*g1*t^4.972 + (4*t^5.056)/g1^2 + 2*g1^2*t^5.444 + (4*t^5.528)/g1 + 2*g1^3*t^5.916 + t^6. + (2*t^6.168)/g1^6 + 4*g1^4*t^6.388 + 6*g1*t^6.472 + (6*t^6.556)/g1^2 + (4*t^6.64)/g1^5 + 4*g1^2*t^6.944 + (2*t^7.028)/g1 + (4*t^7.112)/g1^4 + 4*g1^6*t^7.332 + 6*g1^3*t^7.416 + 4*t^7.5 + (6*t^7.584)/g1^3 + 5*g1^4*t^7.888 + 6*g1*t^7.972 + (5*t^8.056)/g1^2 + (2*t^8.14)/g1^5 + (3*t^8.224)/g1^8 + 2*g1^5*t^8.36 - 2*g1^2*t^8.444 - (2*t^8.528)/g1 + (2*t^8.612)/g1^4 + (4*t^8.696)/g1^7 + 6*g1^6*t^8.832 + 8*g1^3*t^8.916 - t^4.5/y - t^6.556/(g1^2*y) - (g1^2*t^6.944)/y + (2*t^7.5)/y + (2*t^7.584)/(g1^3*y) + (g1^4*t^7.888)/y + (4*g1*t^7.972)/y + (3*t^8.056)/(g1^2*y) + (3*g1^2*t^8.444)/y + (4*t^8.528)/(g1*y) - t^8.612/(g1^4*y) + (4*g1^3*t^8.916)/y - t^4.5*y - (t^6.556*y)/g1^2 - g1^2*t^6.944*y + 2*t^7.5*y + (2*t^7.584*y)/g1^3 + g1^4*t^7.888*y + 4*g1*t^7.972*y + (3*t^8.056*y)/g1^2 + 3*g1^2*t^8.444*y + (4*t^8.528*y)/g1 - (t^8.612*y)/g1^4 + 4*g1^3*t^8.916*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 |
|---|---|---|---|---|---|---|---|---|
| 878 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.644 | 0.812 | 0.7931 | [M:[0.8115, 1.1885, 0.8115, 0.6885, 1.3115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | 2*t^2.435 + 2*t^2.533 + t^3. + 2*t^3.467 + 3*t^3.935 + 2*t^4.033 + t^4.131 + 3*t^4.869 + 4*t^4.967 + 3*t^5.065 + 2*t^5.435 + 2*t^5.533 + 2*t^5.902 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 880 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6855 | 0.8928 | 0.7678 | [M:[0.8171, 1.1829, 0.8171, 0.6829, 0.6829], q:[0.75, 0.4329], qb:[0.4085, 0.4085], phi:[0.5]] | 2*t^2.049 + 2*t^2.451 + 2*t^2.524 + t^3. + 2*t^3.476 + t^3.951 + 2*t^4.024 + 4*t^4.098 + 4*t^4.5 + 4*t^4.573 + 3*t^4.902 + 4*t^4.976 + 5*t^5.049 + 2*t^5.451 + 6*t^5.524 + 2*t^5.927 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 1917 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6785 | 0.8762 | 0.7744 | [M:[0.8242, 1.1758, 0.8242, 0.6758, 0.8379], q:[0.75, 0.4258], qb:[0.4121, 0.4121], phi:[0.5]] | t^2.027 + 2*t^2.473 + 3*t^2.514 + t^3. + t^3.486 + 2*t^3.973 + 2*t^4.014 + 2*t^4.055 + 2*t^4.5 + 3*t^4.541 + 3*t^4.945 + 6*t^4.986 + 7*t^5.027 + 2*t^5.473 + 4*t^5.514 - t^4.5/y - t^4.5*y | detail | |
| 879 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6512 | 0.8292 | 0.7854 | [M:[0.8048, 1.1952, 0.8048, 0.6952, 1.1524], q:[0.75, 0.4452], qb:[0.4024, 0.4024], phi:[0.5]] | t^2.086 + 2*t^2.414 + t^2.543 + t^3. + 3*t^3.457 + 2*t^3.914 + 2*t^4.043 + 2*t^4.171 + 2*t^4.5 + t^4.629 + 3*t^4.829 + 2*t^4.957 + 2*t^5.086 + 2*t^5.414 + 4*t^5.543 + 4*t^5.871 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 358 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6648 | 0.8527 | 0.7796 | [M:[0.8137, 1.1863, 0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] | t^2.038 + 2*t^2.441 + t^2.519 + t^2.54 + t^3. + t^3.46 + t^3.481 + t^3.92 + t^3.941 + t^4.019 + t^4.04 + t^4.076 + t^4.118 + 2*t^4.479 + t^4.557 + t^4.578 + 3*t^4.882 + 2*t^4.96 + 2*t^4.981 + 2*t^5.038 + t^5.059 + t^5.08 + 2*t^5.441 + t^5.498 + 2*t^5.519 + t^5.54 + t^5.901 + t^5.922 + t^5.958 + t^5.979 - t^6. - t^4.5/y - t^4.5*y | detail |