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 |
|---|---|---|---|---|---|---|---|---|---|
| 46552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6373 | 0.8105 | 0.7863 | [M:[1.1576, 1.1141, 0.6848, 0.7717], q:[0.4783, 0.3641], qb:[0.4076, 0.75], phi:[0.5]] | [M:[[3], [-1], [-6], [2]], q:[[-2], [-1]], qb:[[3], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.054 + 2*t^2.315 + t^3. + 2*t^3.342 + 2*t^3.473 + t^3.685 + t^3.815 + t^4.027 + t^4.109 + t^4.158 + 3*t^4.37 + 3*t^4.63 + t^5.054 + 2*t^5.315 + 2*t^5.397 + 2*t^5.527 + 3*t^5.658 + t^5.739 + 3*t^5.788 - t^6. + t^6.082 + t^6.13 + t^6.163 + t^6.342 + 3*t^6.424 + 2*t^6.473 + 6*t^6.685 + 3*t^6.815 + 6*t^6.946 + t^7.027 + t^7.109 + t^7.158 + 3*t^7.37 + 2*t^7.451 + t^7.5 + 2*t^7.582 + 3*t^7.63 + 4*t^7.712 + t^7.794 + 3*t^7.842 + 3*t^7.973 + 4*t^8.103 + t^8.136 - t^8.185 + t^8.218 - 3*t^8.315 + 2*t^8.397 + t^8.446 + 3*t^8.478 + t^8.527 + 7*t^8.739 + 2*t^8.788 + 2*t^8.87 - t^4.5/y - t^6.554/y - t^6.815/y + t^7.027/y + t^7.158/y + (2*t^7.37)/y + t^7.63/y - t^7.842/y - t^7.973/y + t^8.054/y + t^8.185/y + (2*t^8.315)/y + (2*t^8.397)/y + t^8.446/y + (2*t^8.527)/y - t^8.609/y + (4*t^8.658)/y + t^8.739/y + (4*t^8.788)/y - t^4.5*y - t^6.554*y - t^6.815*y + t^7.027*y + t^7.158*y + 2*t^7.37*y + t^7.63*y - t^7.842*y - t^7.973*y + t^8.054*y + t^8.185*y + 2*t^8.315*y + 2*t^8.397*y + t^8.446*y + 2*t^8.527*y - t^8.609*y + 4*t^8.658*y + t^8.739*y + 4*t^8.788*y | t^2.054/g1^6 + 2*g1^2*t^2.315 + t^3. + (2*t^3.342)/g1 + 2*g1^3*t^3.473 + t^3.685/g1^2 + g1^2*t^3.815 + t^4.027/g1^3 + t^4.109/g1^12 + g1*t^4.158 + (3*t^4.37)/g1^4 + 3*g1^4*t^4.63 + t^5.054/g1^6 + 2*g1^2*t^5.315 + (2*t^5.397)/g1^7 + (2*t^5.527)/g1^3 + 3*g1*t^5.658 + t^5.739/g1^8 + 3*g1^5*t^5.788 - t^6. + t^6.082/g1^9 + g1^4*t^6.13 + t^6.163/g1^18 + t^6.342/g1 + (3*t^6.424)/g1^10 + 2*g1^3*t^6.473 + (6*t^6.685)/g1^2 + 3*g1^2*t^6.815 + 6*g1^6*t^6.946 + t^7.027/g1^3 + t^7.109/g1^12 + g1*t^7.158 + (3*t^7.37)/g1^4 + (2*t^7.451)/g1^13 + t^7.5 + (2*t^7.582)/g1^9 + 3*g1^4*t^7.63 + (4*t^7.712)/g1^5 + t^7.794/g1^14 + (3*t^7.842)/g1 + 3*g1^3*t^7.973 + 4*g1^7*t^8.103 + t^8.136/g1^15 - t^8.185/g1^2 + t^8.218/g1^24 - 3*g1^2*t^8.315 + (2*t^8.397)/g1^7 + g1^6*t^8.446 + (3*t^8.478)/g1^16 + t^8.527/g1^3 + (7*t^8.739)/g1^8 + 2*g1^5*t^8.788 + (2*t^8.87)/g1^4 - t^4.5/y - t^6.554/(g1^6*y) - (g1^2*t^6.815)/y + t^7.027/(g1^3*y) + (g1*t^7.158)/y + (2*t^7.37)/(g1^4*y) + (g1^4*t^7.63)/y - t^7.842/(g1*y) - (g1^3*t^7.973)/y + t^8.054/(g1^6*y) + t^8.185/(g1^2*y) + (2*g1^2*t^8.315)/y + (2*t^8.397)/(g1^7*y) + (g1^6*t^8.446)/y + (2*t^8.527)/(g1^3*y) - t^8.609/(g1^12*y) + (4*g1*t^8.658)/y + t^8.739/(g1^8*y) + (4*g1^5*t^8.788)/y - t^4.5*y - (t^6.554*y)/g1^6 - g1^2*t^6.815*y + (t^7.027*y)/g1^3 + g1*t^7.158*y + (2*t^7.37*y)/g1^4 + g1^4*t^7.63*y - (t^7.842*y)/g1 - g1^3*t^7.973*y + (t^8.054*y)/g1^6 + (t^8.185*y)/g1^2 + 2*g1^2*t^8.315*y + (2*t^8.397*y)/g1^7 + g1^6*t^8.446*y + (2*t^8.527*y)/g1^3 - (t^8.609*y)/g1^12 + 4*g1*t^8.658*y + (t^8.739*y)/g1^8 + 4*g1^5*t^8.788*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 |
|---|---|---|---|---|---|---|---|---|
| 48264 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 0.6196 | 0.7892 | 0.785 | [M:[1.0714, 1.1429, 0.8571, 0.7143], q:[0.5357, 0.3929], qb:[0.3214, 0.75], phi:[0.5]] | 2*t^2.143 + t^2.571 + t^3. + 2*t^3.214 + 2*t^3.429 + t^3.643 + t^3.857 + t^4.071 + 4*t^4.286 + 3*t^4.714 + 3*t^5.143 + 3*t^5.357 + 4*t^5.571 + 3*t^5.786 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 27201/43904, c: 34649/43904, M1: 15/14, M2: 8/7, M3: 6/7, M4: 5/7, q1: 15/28, q2: 11/28, qb1: 9/28, qb2: 3/4, phi1: 1/2} |
| 47137 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6554 | 0.8429 | 0.7776 | [M:[1.1512, 1.1163, 0.6976, 0.7675, 0.7675], q:[0.4825, 0.3663], qb:[0.4012, 0.75], phi:[0.5]] | t^2.093 + 3*t^2.302 + t^3. + 2*t^3.349 + 2*t^3.454 + t^3.802 + t^4.046 + t^4.151 + t^4.186 + 4*t^4.395 + 6*t^4.605 + t^5.093 + 3*t^5.302 + 2*t^5.442 + 2*t^5.546 + 5*t^5.651 + 5*t^5.756 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 47128 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6193 | 0.7789 | 0.7952 | [M:[1.1644, 1.1119, 0.6712, 0.7763, 1.2237], q:[0.4737, 0.3619], qb:[0.4144, 0.75], phi:[0.5]] | t^2.014 + t^2.329 + t^3. + 2*t^3.336 + 2*t^3.493 + 2*t^3.671 + t^3.829 + t^4.007 + t^4.027 + t^4.164 + 2*t^4.342 + t^4.658 + t^5.014 + t^5.329 + 2*t^5.349 + 2*t^5.507 + t^5.664 + 2*t^5.685 + t^5.822 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 47085 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6476 | 0.8279 | 0.7823 | [M:[1.1521, 1.116, 0.6958, 0.7681, 0.884], q:[0.4819, 0.366], qb:[0.4021, 0.75], phi:[0.5]] | t^2.087 + 2*t^2.304 + t^2.652 + t^3. + t^3.348 + 2*t^3.456 + t^3.696 + t^3.804 + t^4.044 + t^4.152 + t^4.175 + 3*t^4.392 + 3*t^4.608 + t^4.739 + 2*t^4.956 + t^5.087 + 3*t^5.304 + t^5.435 + 2*t^5.544 + 2*t^5.652 + 3*t^5.761 + t^5.783 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46264 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6426 | 0.8185 | 0.785 | [M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.4348, 0.4076], qb:[0.4076, 0.75], phi:[0.5]] | 2*t^2.054 + t^2.446 + t^3. + 4*t^3.473 + t^3.554 + t^3.946 + 2*t^4.027 + 4*t^4.109 + 2*t^4.5 + t^4.891 + 2*t^5.054 + t^5.446 + 8*t^5.527 + 2*t^5.609 + 2*t^5.919 - 2*t^6. - t^4.5/y - t^4.5*y | detail |