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 |
|---|---|---|---|---|---|---|---|---|---|
| 2757 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6476 | 0.8279 | 0.7823 | [M:[1.1521, 1.116, 0.7681, 0.6958, 0.884], q:[0.75, 0.4819], qb:[0.366, 0.4021], phi:[0.5]] | [M:[[3], [-1], [2], [-6], [1]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}M_{2}M_{5}$ | 0 | 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 + 3*t^6.108 + t^6.131 + t^6.262 + t^6.348 + 3*t^6.456 + 3*t^6.479 + 5*t^6.696 + 2*t^6.804 + t^6.827 + 6*t^6.913 + 3*t^7.044 + t^7.175 + 3*t^7.261 + 3*t^7.392 + t^7.523 + 5*t^7.608 + 2*t^7.631 + 2*t^7.739 + 3*t^7.848 + t^7.87 + 3*t^7.956 + 4*t^8.065 + t^8.087 + t^8.196 + t^8.218 - t^8.304 + t^8.349 + 4*t^8.413 + 2*t^8.435 + t^8.544 + 3*t^8.566 - 2*t^8.652 + 5*t^8.761 + 6*t^8.783 + t^8.914 - t^4.5/y - t^6.587/y - t^6.804/y + t^7.044/y + (2*t^7.392)/y + t^7.608/y + t^7.739/y + t^7.956/y + t^8.087/y + t^8.196/y + (2*t^8.304)/y + t^8.413/y + t^8.435/y + (2*t^8.544)/y + (3*t^8.652)/y - t^8.675/y + (4*t^8.761)/y + t^8.783/y - t^4.5*y - t^6.587*y - t^6.804*y + t^7.044*y + 2*t^7.392*y + t^7.608*y + t^7.739*y + t^7.956*y + t^8.087*y + t^8.196*y + 2*t^8.304*y + t^8.413*y + t^8.435*y + 2*t^8.544*y + 3*t^8.652*y - t^8.675*y + 4*t^8.761*y + t^8.783*y | t^2.087/g1^6 + 2*g1^2*t^2.304 + g1*t^2.652 + t^3. + t^3.348/g1 + 2*g1^3*t^3.456 + t^3.696/g1^2 + g1^2*t^3.804 + t^4.044/g1^3 + g1*t^4.152 + t^4.175/g1^12 + (3*t^4.392)/g1^4 + 3*g1^4*t^4.608 + t^4.739/g1^5 + 2*g1^3*t^4.956 + t^5.087/g1^6 + 3*g1^2*t^5.304 + t^5.435/g1^7 + (2*t^5.544)/g1^3 + 2*g1*t^5.652 + 3*g1^5*t^5.761 + t^5.783/g1^8 + 3*g1^4*t^6.108 + t^6.131/g1^9 + t^6.262/g1^18 + t^6.348/g1 + 3*g1^3*t^6.456 + (3*t^6.479)/g1^10 + (5*t^6.696)/g1^2 + 2*g1^2*t^6.804 + t^6.827/g1^11 + 6*g1^6*t^6.913 + (3*t^7.044)/g1^3 + t^7.175/g1^12 + 3*g1^5*t^7.261 + (3*t^7.392)/g1^4 + t^7.523/g1^13 + 5*g1^4*t^7.608 + (2*t^7.631)/g1^9 + (2*t^7.739)/g1^5 + (3*t^7.848)/g1 + t^7.87/g1^14 + 3*g1^3*t^7.956 + 4*g1^7*t^8.065 + t^8.087/g1^6 + t^8.196/g1^2 + t^8.218/g1^15 - g1^2*t^8.304 + t^8.349/g1^24 + 4*g1^6*t^8.413 + (2*t^8.435)/g1^7 + t^8.544/g1^3 + (3*t^8.566)/g1^16 - 2*g1*t^8.652 + 5*g1^5*t^8.761 + (6*t^8.783)/g1^8 + t^8.914/g1^17 - t^4.5/y - t^6.587/(g1^6*y) - (g1^2*t^6.804)/y + t^7.044/(g1^3*y) + (2*t^7.392)/(g1^4*y) + (g1^4*t^7.608)/y + t^7.739/(g1^5*y) + (g1^3*t^7.956)/y + t^8.087/(g1^6*y) + t^8.196/(g1^2*y) + (2*g1^2*t^8.304)/y + (g1^6*t^8.413)/y + t^8.435/(g1^7*y) + (2*t^8.544)/(g1^3*y) + (3*g1*t^8.652)/y - t^8.675/(g1^12*y) + (4*g1^5*t^8.761)/y + t^8.783/(g1^8*y) - t^4.5*y - (t^6.587*y)/g1^6 - g1^2*t^6.804*y + (t^7.044*y)/g1^3 + (2*t^7.392*y)/g1^4 + g1^4*t^7.608*y + (t^7.739*y)/g1^5 + g1^3*t^7.956*y + (t^8.087*y)/g1^6 + (t^8.196*y)/g1^2 + 2*g1^2*t^8.304*y + g1^6*t^8.413*y + (t^8.435*y)/g1^7 + (2*t^8.544*y)/g1^3 + 3*g1*t^8.652*y - (t^8.675*y)/g1^12 + 4*g1^5*t^8.761*y + (t^8.783*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3269 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.6321 | 0.8107 | 0.7797 | [M:[1.0714, 1.1429, 0.7143, 0.8571, 0.8571], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 2*t^2.143 + 2*t^2.571 + t^3. + 2*t^3.214 + t^3.429 + t^3.643 + t^3.857 + t^4.071 + 4*t^4.286 + 5*t^4.714 + 5*t^5.143 + 3*t^5.357 + 3*t^5.571 + 5*t^5.786 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 27753/43904, c: 35593/43904, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 6/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 3273 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.6581 | 0.8456 | 0.7783 | [M:[1.1466, 1.1178, 0.7644, 0.7068, 0.8822, 0.8822], q:[0.75, 0.4856], qb:[0.3678, 0.3966], phi:[0.5]] | t^2.12 + 2*t^2.293 + 2*t^2.647 + t^3. + 2*t^3.44 + t^3.707 + t^3.793 + t^4.06 + t^4.147 + t^4.241 + 3*t^4.414 + 3*t^4.586 + 2*t^4.767 + 4*t^4.94 + t^5.12 + 5*t^5.293 + 2*t^5.56 + t^5.647 + 3*t^5.733 + t^5.827 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 3275 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6295 | 0.7957 | 0.7912 | [M:[1.1587, 1.1138, 0.7725, 0.6825, 0.8862, 1.2275], q:[0.75, 0.4775], qb:[0.3638, 0.4087], phi:[0.5]] | t^2.048 + t^2.317 + t^2.659 + t^3. + t^3.341 + 2*t^3.476 + 2*t^3.683 + t^3.817 + t^4.024 + t^4.095 + t^4.159 + 2*t^4.365 + t^4.635 + t^4.706 + t^4.976 + t^5.048 + 2*t^5.317 + t^5.389 + 2*t^5.524 + t^5.659 + 2*t^5.73 + t^5.794 - t^4.5/y - t^4.5*y | detail | |
| 3272 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6674 | 0.8647 | 0.7718 | [M:[1.1563, 1.1146, 0.7709, 0.6873, 0.8854, 0.7291], q:[0.75, 0.4791], qb:[0.3646, 0.4063], phi:[0.5]] | t^2.062 + t^2.187 + 2*t^2.313 + t^2.656 + t^3. + t^3.344 + 2*t^3.469 + t^3.687 + t^4.031 + t^4.124 + t^4.156 + t^4.249 + 4*t^4.375 + 2*t^4.5 + 3*t^4.625 + t^4.718 + t^4.844 + 2*t^4.969 + t^5.062 + t^5.187 + 3*t^5.313 + t^5.406 + 3*t^5.531 + 4*t^5.656 + t^5.749 + 3*t^5.782 - t^4.5/y - t^4.5*y | detail | |
| 3276 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.666 | 0.8608 | 0.7736 | [M:[1.1459, 1.118, 0.7639, 0.7083, 0.882, 0.7639], q:[0.75, 0.4861], qb:[0.368, 0.3959], phi:[0.5]] | t^2.125 + 3*t^2.292 + t^2.646 + t^3. + t^3.354 + 2*t^3.438 + t^3.792 + t^4.062 + t^4.146 + t^4.25 + 4*t^4.417 + 6*t^4.583 + t^4.771 + 3*t^4.938 + t^5.125 + 4*t^5.292 + t^5.479 + 2*t^5.562 + 3*t^5.646 + 5*t^5.729 - 2*t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1756 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6373 | 0.8105 | 0.7863 | [M:[1.1576, 1.1141, 0.7717, 0.6848], q:[0.75, 0.4783], qb:[0.3641, 0.4076], phi:[0.5]] | 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^4.5/y - t^4.5*y | detail |