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 |
|---|---|---|---|---|---|---|---|---|---|
| 46450 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.7203 | 0.8855 | 0.8134 | [M:[0.9769, 1.0, 1.0231, 0.8402, 0.8171], q:[0.4201, 0.603], qb:[0.5799, 0.5568], phi:[0.4601]] | [M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.451 + t^2.521 + t^2.76 + t^2.931 + t^3. + t^3.069 + t^3.41 + t^3.901 + t^4.311 + t^4.38 + t^4.449 + t^4.721 + t^4.79 + 2*t^4.859 + t^4.903 + t^4.929 + t^4.972 + t^4.998 + t^5.041 + t^5.212 + t^5.281 + t^5.382 + t^5.451 + 2*t^5.521 + t^5.691 + t^5.76 + t^5.83 + t^5.861 - 2*t^6. - t^6.069 + t^6.17 + t^6.341 + t^6.352 + t^6.422 - t^6.479 - t^6.549 + t^6.661 + t^6.762 + t^6.82 + 2*t^6.832 + 2*t^6.901 + t^6.97 + t^7.071 + t^7.172 + t^7.21 + 2*t^7.242 + 3*t^7.311 + t^7.354 + 2*t^7.38 + t^7.423 + t^7.449 + t^7.481 + t^7.493 + t^7.519 + t^7.562 + t^7.62 + t^7.652 + t^7.663 + 2*t^7.721 + t^7.732 + t^7.758 + 2*t^7.79 + 2*t^7.802 + t^7.833 + t^7.859 + t^7.903 + t^7.929 - t^7.96 + 2*t^7.972 + t^7.998 - t^8.03 + t^8.041 + t^8.067 - 2*t^8.099 + t^8.131 + t^8.142 - t^8.168 + t^8.2 + 2*t^8.212 - t^8.238 + t^8.269 + 3*t^8.281 + t^8.313 + t^8.35 - 2*t^8.451 - 3*t^8.521 - t^8.59 + 2*t^8.622 + t^8.691 + t^8.792 + t^8.804 - t^8.861 + t^8.873 + t^8.899 - 4*t^8.931 + t^8.942 - t^4.38/y - t^6.832/y - t^6.901/y - t^7.141/y + t^7.62/y + t^7.859/y + t^7.929/y + t^7.972/y + t^8.212/y + t^8.281/y + t^8.382/y + (2*t^8.451)/y + (2*t^8.521)/y + t^8.59/y + t^8.691/y + t^8.76/y + t^8.83/y + t^8.861/y + (2*t^8.931)/y - t^4.38*y - t^6.832*y - t^6.901*y - t^7.141*y + t^7.62*y + t^7.859*y + t^7.929*y + t^7.972*y + t^8.212*y + t^8.281*y + t^8.382*y + 2*t^8.451*y + 2*t^8.521*y + t^8.59*y + t^8.691*y + t^8.76*y + t^8.83*y + t^8.861*y + 2*t^8.931*y | (g2*t^2.451)/g1^6 + t^2.521/g1^4 + t^2.76/g1^2 + (g2*t^2.931)/g1^2 + t^3. + (g1^2*t^3.069)/g2 + g1^2*g2*t^3.41 + t^3.901/g1^5 + (g2*t^4.311)/g1^3 + t^4.38/g1 + (g1*t^4.449)/g2 + (g2^2*t^4.721)/g1 + g1*g2*t^4.79 + 2*g1^3*t^4.859 + (g2^2*t^4.903)/g1^12 + (g1^5*t^4.929)/g2 + (g2*t^4.972)/g1^10 + (g1^7*t^4.998)/g2^2 + t^5.041/g1^8 + (g2*t^5.212)/g1^8 + t^5.281/g1^6 + (g2^2*t^5.382)/g1^8 + (g2*t^5.451)/g1^6 + (2*t^5.521)/g1^4 + (g2*t^5.691)/g1^4 + t^5.76/g1^2 + t^5.83/g2 + (g2^2*t^5.861)/g1^4 - 2*t^6. - (g1^2*t^6.069)/g2 + g2*t^6.17 + g2^2*t^6.341 + (g2*t^6.352)/g1^11 + t^6.422/g1^9 - g1^4*t^6.479 - (g1^6*t^6.549)/g2 + t^6.661/g1^7 + (g2^2*t^6.762)/g1^9 + g1^4*g2^2*t^6.82 + (2*g2*t^6.832)/g1^7 + (2*t^6.901)/g1^5 + t^6.97/(g1^3*g2) + (g2*t^7.071)/g1^5 + (g2^3*t^7.172)/g1^7 + t^7.21/(g1*g2) + (2*g2^2*t^7.242)/g1^5 + (3*g2*t^7.311)/g1^3 + (g2^3*t^7.354)/g1^18 + (2*t^7.38)/g1 + (g2^2*t^7.423)/g1^16 + (g1*t^7.449)/g2 + (g2^2*t^7.481)/g1^3 + (g2*t^7.493)/g1^14 + (g1^3*t^7.519)/g2^2 + t^7.562/g1^12 + g1*t^7.62 + (g2^3*t^7.652)/g1^3 + (g2^2*t^7.663)/g1^14 + (2*g2^2*t^7.721)/g1 + (g2*t^7.732)/g1^12 + (g1^5*t^7.758)/g2^2 + 2*g1*g2*t^7.79 + (2*t^7.802)/g1^10 + (g2^3*t^7.833)/g1^14 + g1^3*t^7.859 + (g2^2*t^7.903)/g1^12 + (g1^5*t^7.929)/g2 - g1*g2^2*t^7.96 + (2*g2*t^7.972)/g1^10 + (g1^7*t^7.998)/g2^2 - g1^3*g2*t^8.03 + t^8.041/g1^8 + (g1^9*t^8.067)/g2^3 - 2*g1^5*t^8.099 + g1*g2^3*t^8.131 + (g2^2*t^8.142)/g1^10 - (g1^7*t^8.168)/g2 + g1^3*g2^2*t^8.2 + (2*g2*t^8.212)/g1^8 - (g1^9*t^8.238)/g2^2 + g1^5*g2*t^8.269 + (3*t^8.281)/g1^6 + (g2^3*t^8.313)/g1^10 + t^8.35/(g1^4*g2) - (2*g2*t^8.451)/g1^6 - (3*t^8.521)/g1^4 - t^8.59/(g1^2*g2) + (2*g2^2*t^8.622)/g1^6 + (g2*t^8.691)/g1^4 + (g2^3*t^8.792)/g1^6 + (g2^2*t^8.804)/g1^17 - (g2^2*t^8.861)/g1^4 + (g2*t^8.873)/g1^15 + (g1^2*t^8.899)/g2^2 - (4*g2*t^8.931)/g1^2 + t^8.942/g1^13 - t^4.38/(g1*y) - (g2*t^6.832)/(g1^7*y) - t^6.901/(g1^5*y) - t^7.141/(g1^3*y) + (g1*t^7.62)/y + (g1^3*t^7.859)/y + (g1^5*t^7.929)/(g2*y) + (g2*t^7.972)/(g1^10*y) + (g2*t^8.212)/(g1^8*y) + t^8.281/(g1^6*y) + (g2^2*t^8.382)/(g1^8*y) + (2*g2*t^8.451)/(g1^6*y) + (2*t^8.521)/(g1^4*y) + t^8.59/(g1^2*g2*y) + (g2*t^8.691)/(g1^4*y) + t^8.76/(g1^2*y) + t^8.83/(g2*y) + (g2^2*t^8.861)/(g1^4*y) + (2*g2*t^8.931)/(g1^2*y) - (t^4.38*y)/g1 - (g2*t^6.832*y)/g1^7 - (t^6.901*y)/g1^5 - (t^7.141*y)/g1^3 + g1*t^7.62*y + g1^3*t^7.859*y + (g1^5*t^7.929*y)/g2 + (g2*t^7.972*y)/g1^10 + (g2*t^8.212*y)/g1^8 + (t^8.281*y)/g1^6 + (g2^2*t^8.382*y)/g1^8 + (2*g2*t^8.451*y)/g1^6 + (2*t^8.521*y)/g1^4 + (t^8.59*y)/(g1^2*g2) + (g2*t^8.691*y)/g1^4 + (t^8.76*y)/g1^2 + (t^8.83*y)/g2 + (g2^2*t^8.861*y)/g1^4 + (2*g2*t^8.931*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 |
|---|---|---|---|---|---|---|---|---|
| 48220 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.7195 | 0.8834 | 0.8145 | [M:[1.0073, 1.0, 0.9927, 0.8368, 0.844, 0.9927], q:[0.4184, 0.5744], qb:[0.5816, 0.5889], phi:[0.4592]] | t^2.51 + t^2.532 + t^2.755 + 2*t^2.978 + t^3. + t^3.511 + t^3.888 + t^4.356 + t^4.378 + t^4.399 + t^4.824 + t^4.845 + 2*t^4.867 + t^4.889 + t^4.911 + t^5.021 + t^5.042 + t^5.064 + t^5.266 + t^5.287 + t^5.489 + 3*t^5.51 + 2*t^5.733 + t^5.755 + 2*t^5.956 - 3*t^6. - t^4.378/y - t^4.378*y | detail | |
| 47133 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.6921 | 0.8476 | 0.8165 | [M:[1.0193, 1.0, 0.9807, 0.9903, 1.0097], q:[0.4952, 0.4855], qb:[0.5048, 0.5242], phi:[0.4976]] | t^2.942 + t^2.971 + t^2.985 + t^3. + t^3.029 + t^3.058 + t^3.087 + t^4.406 + t^4.435 + 2*t^4.464 + t^4.493 + 2*t^4.522 + t^4.551 + t^4.58 + t^4.638 + t^5.927 + t^5.956 + t^5.971 + t^5.985 - t^6. - t^4.493/y - t^4.493*y | detail | |
| 48144 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6934 | 0.8487 | 0.8171 | [M:[1.0315, 1.0, 0.9685, 0.979, 1.0105], q:[0.4895, 0.479], qb:[0.5105, 0.542], phi:[0.4948]] | t^2.906 + t^2.937 + t^2.969 + t^3. + t^3.031 + t^3.094 + t^3.157 + t^4.358 + t^4.39 + t^4.421 + t^4.453 + t^4.484 + 2*t^4.547 + t^4.579 + t^4.642 + t^4.736 + 2*t^5.874 + 2*t^5.937 + t^5.969 - t^6. - t^4.484/y - t^4.484*y | detail | |
| 46969 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6971 | 0.8526 | 0.8176 | [M:[1.0481, 1.0, 0.9519, 0.9519, 1.0], q:[0.476, 0.476], qb:[0.524, 0.5721], phi:[0.488]] | 2*t^2.856 + t^2.928 + 2*t^3. + t^3.144 + t^3.288 + 3*t^4.32 + 2*t^4.464 + 3*t^4.608 + t^4.752 + t^4.896 + t^5.712 + 2*t^5.784 + 2*t^5.856 + 2*t^5.928 - t^6. - t^4.464/y - t^4.464*y | detail | |
| 47098 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7409 | 0.9251 | 0.8009 | [M:[0.9764, 1.0, 1.0236, 0.8474, 0.8238, 0.6908], q:[0.4237, 0.5999], qb:[0.5763, 0.5527], phi:[0.4618]] | t^2.072 + t^2.471 + t^2.542 + t^2.771 + t^2.929 + t^3. + t^3.071 + t^3.387 + t^4.145 + t^4.315 + t^4.386 + t^4.456 + t^4.544 + t^4.614 + t^4.702 + t^4.772 + 3*t^4.843 + t^4.914 + t^4.943 + t^4.985 + t^5.001 + t^5.014 + t^5.072 + t^5.084 + t^5.143 + t^5.242 + t^5.313 + t^5.4 + t^5.459 + t^5.471 + 2*t^5.542 + t^5.7 + t^5.771 + t^5.842 + t^5.858 - 2*t^6. - t^4.386/y - t^4.386*y | detail | |
| 46965 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7134 | 0.8733 | 0.8168 | [M:[0.9756, 1.0, 1.0244, 0.86, 0.8356, 1.07], q:[0.43, 0.5944], qb:[0.57, 0.5455], phi:[0.465]] | t^2.507 + t^2.58 + t^2.927 + t^3. + t^3.073 + t^3.21 + t^3.347 + t^3.975 + t^4.322 + t^4.395 + t^4.468 + t^4.668 + t^4.742 + 2*t^4.815 + t^4.888 + t^4.962 + t^5.014 + t^5.087 + t^5.16 + t^5.433 + t^5.507 + t^5.58 + t^5.717 + t^5.79 + t^5.853 - 2*t^6. - t^4.395/y - t^4.395*y | detail | |
| 46830 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6696 | 0.8291 | 0.8076 | [M:[1.1494, 1.0, 0.8506, 0.7316, 0.881], q:[0.3658, 0.4848], qb:[0.6342, 0.7835], phi:[0.4329]] | t^2.195 + t^2.552 + t^2.597 + t^2.643 + t^3. + t^3.448 + t^3.494 + t^3.851 + t^4.208 + t^4.253 + t^4.299 + t^4.39 + t^4.656 + t^4.747 + t^4.792 + t^4.838 + 2*t^5.104 + t^5.149 + 2*t^5.195 + t^5.24 + t^5.286 + t^5.597 + t^5.643 + t^5.688 - t^6. - t^4.299/y - t^4.299*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46128 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail |