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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | [M:[[0, -2], [1, -1], [-1, -3], [-1, 1]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. + t^6.231 - t^6.342 + t^6.441 + t^6.462 + t^6.672 + 2*t^6.784 + t^6.804 + t^6.903 + 3*t^7.014 + t^7.035 + t^7.114 + 2*t^7.126 + 3*t^7.245 + 3*t^7.357 + 2*t^7.456 + 2*t^7.468 + t^7.476 + 3*t^7.588 + t^7.687 + t^7.699 + 3*t^7.798 + t^7.81 + t^7.818 + t^7.93 + t^8.029 + t^8.049 + 4*t^8.14 + t^8.161 + t^8.26 - t^8.371 + t^8.391 + t^8.602 - 4*t^8.713 + t^8.734 + t^8.813 + 2*t^8.833 - 2*t^8.944 - t^4.357/y - t^6.728/y - (2*t^7.07)/y + (2*t^7.643)/y + t^7.986/y + (2*t^8.085)/y + t^8.316/y + (2*t^8.427)/y + (3*t^8.658)/y + (2*t^8.769)/y + t^8.889/y - t^4.357*y - t^6.728*y - 2*t^7.07*y + 2*t^7.643*y + t^7.986*y + 2*t^8.085*y + t^8.316*y + 2*t^8.427*y + 3*t^8.658*y + 2*t^8.769*y + t^8.889*y | t^2.371/(g1*g2^3) + (2*t^2.713)/g2^2 + (g2*t^2.944)/g1 + (g1*t^3.056)/g2 + g2^2*t^3.287 + (g2^5*t^3.517)/g1 + t^4.07/g2^3 + t^4.301/g1 + (g1*t^4.412)/g2^2 + (g2^3*t^4.532)/g1^2 + 2*g2*t^4.643 + t^4.742/(g1^2*g2^6) + (g1^2*t^4.755)/g2 + (g2^4*t^4.874)/g1 + g1*g2^2*t^4.986 + (2*t^5.085)/(g1*g2^5) + g2^5*t^5.216 + t^5.316/(g1^2*g2^2) + (3*t^5.427)/g2^4 + t^5.658/(g1*g2) + (g2^2*t^5.889)/g1^2 - t^6. + (g2^3*t^6.231)/g1 - g1*g2*t^6.342 + t^6.441/(g1*g2^6) + (g2^6*t^6.462)/g1^2 + t^6.672/(g1^2*g2^3) + (2*t^6.784)/g2^5 + (g2^7*t^6.804)/g1 + t^6.903/g1^3 + (3*t^7.014)/(g1*g2^2) + (g2^10*t^7.035)/g1^2 + t^7.114/(g1^3*g2^9) + (2*g1*t^7.126)/g2^4 + (3*g2*t^7.245)/g1^2 + (3*t^7.357)/g2 + (2*t^7.456)/(g1^2*g2^8) + (2*g1^2*t^7.468)/g2^3 + (g2^4*t^7.476)/g1^3 + (3*g2^2*t^7.588)/g1 + t^7.687/(g1^3*g2^5) + g1*t^7.699 + (3*t^7.798)/(g1*g2^7) + (g1^3*t^7.81)/g2^2 + (g2^5*t^7.818)/g1^2 + g2^3*t^7.93 + t^8.029/(g1^2*g2^4) + (g2^8*t^8.049)/g1^3 + (4*t^8.14)/g2^6 + (g2^6*t^8.161)/g1 + t^8.26/(g1^3*g2) - t^8.371/(g1*g2^3) + (g2^9*t^8.391)/g1^2 + t^8.602/g1^2 - (4*t^8.713)/g2^2 + (g2^10*t^8.734)/g1 + t^8.813/(g1^2*g2^9) + (2*g2^3*t^8.833)/g1^3 - (2*g2*t^8.944)/g1 - t^4.357/(g2*y) - t^6.728/(g1*g2^4*y) - (2*t^7.07)/(g2^3*y) + (2*g2*t^7.643)/y + (g1*g2^2*t^7.986)/y + (2*t^8.085)/(g1*g2^5*y) + t^8.316/(g1^2*g2^2*y) + (2*t^8.427)/(g2^4*y) + (3*t^8.658)/(g1*g2*y) + (2*g1*t^8.769)/(g2^3*y) + (g2^2*t^8.889)/(g1^2*y) - (t^4.357*y)/g2 - (t^6.728*y)/(g1*g2^4) - (2*t^7.07*y)/g2^3 + 2*g2*t^7.643*y + g1*g2^2*t^7.986*y + (2*t^8.085*y)/(g1*g2^5) + (t^8.316*y)/(g1^2*g2^2) + (2*t^8.427*y)/g2^4 + (3*t^8.658*y)/(g1*g2) + (2*g1*t^8.769*y)/g2^3 + (g2^2*t^8.889*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 513 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ | 0.6926 | 0.8476 | 0.8172 | [M:[0.9918, 0.9753, 1.0082, 1.0247], q:[0.5288, 0.4795], qb:[0.4959, 0.5123], phi:[0.4959]] | t^2.926 + 2*t^2.975 + 2*t^3.025 + t^3.074 + t^3.123 + t^4.364 + t^4.414 + 2*t^4.463 + 2*t^4.512 + 2*t^4.562 + t^4.611 + t^4.66 + 2*t^5.951 + t^6. - t^4.488/y - t^4.488*y | detail | |
| 514 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}M_{5}$ | 0.7051 | 0.8546 | 0.8251 | [M:[0.9277, 1.0, 0.8555, 1.0, 1.1445], q:[0.5361, 0.5361], qb:[0.4639, 0.6084], phi:[0.4639]] | 2*t^2.783 + 2*t^3. + t^3.217 + 2*t^3.434 + t^4.175 + 2*t^4.392 + 4*t^4.608 + 2*t^4.825 + t^5.042 + 2*t^5.566 - t^6. - t^4.392/y - t^4.392*y | detail | |
| 511 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ | 0.6954 | 0.8497 | 0.8184 | [M:[0.9793, 0.9586, 1.0, 1.0414], q:[0.5518, 0.4689], qb:[0.4896, 0.5311], phi:[0.4896]] | t^2.876 + 2*t^2.938 + t^3. + t^3.062 + t^3.124 + t^3.248 + t^4.283 + t^4.345 + t^4.407 + t^4.469 + 2*t^4.531 + t^4.593 + t^4.655 + t^4.717 + t^4.78 + 3*t^5.876 + t^5.938 - t^4.469/y - t^4.469*y | detail | |
| 515 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7296 | 0.8971 | 0.8133 | [M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | t^2.297 + 3*t^2.672 + t^2.953 + t^3.047 + t^3.608 + t^4.008 + t^4.289 + t^4.383 + t^4.569 + t^4.594 + 2*t^4.664 + t^4.759 + t^4.944 + 3*t^4.969 + t^5.039 + t^5.25 + t^5.32 + 6*t^5.344 + t^5.625 + t^5.72 + t^5.905 - 3*t^6. - t^4.336/y - t^4.336*y | detail | |
| 1773 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6384 | 0.7923 | 0.8057 | [M:[0.7685, 0.8473, 0.6897, 1.1527], q:[0.7685, 0.463], qb:[0.3842, 0.8473], phi:[0.3842]] | t^2.069 + 2*t^2.305 + t^2.542 + 2*t^3.458 + 2*t^3.695 + t^3.931 + t^4.138 + 2*t^4.375 + 4*t^4.611 + 3*t^4.847 + t^5.084 + 2*t^5.527 + 4*t^5.764 + 2*t^6. - t^4.153/y - t^4.153*y | detail | |
| 1774 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.6178 | 0.7527 | 0.8207 | [X:[1.6138], M:[0.7725, 1.1587, 0.3862, 0.8413], q:[0.455, 0.7725], qb:[0.3862, 0.8413], phi:[0.3862]] | 2*t^2.317 + t^2.524 + 2*t^3.476 + 2*t^3.683 + 2*t^3.889 + 3*t^4.635 + 3*t^4.841 + t^5.048 + 2*t^5.794 + t^6. - t^4.159/y - t^4.159*y | detail | |
| 1772 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ | 0.6277 | 0.7724 | 0.8127 | [X:[1.4657], M:[0.8767, 1.2192, 0.5343, 0.7808], q:[0.3425, 0.7808], qb:[0.4384, 0.6849], phi:[0.4384]] | t^2.342 + 2*t^2.63 + t^3.082 + 2*t^3.37 + 2*t^3.658 + t^3.945 + 2*t^4.397 + 2*t^4.685 + t^4.973 + 2*t^5.26 + 2*t^5.425 + 3*t^5.712 + 2*t^6. - t^4.315/y - t^4.315*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 |
|---|---|---|---|---|---|---|---|---|---|
| 207 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.7729 | 0.9519 | 0.812 | [M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]] | t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*y | detail |