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 |
|---|---|---|---|---|---|---|---|---|---|
| 598 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ | 0.7203 | 0.8855 | 0.8134 | [M:[1.0, 0.8402, 0.8171, 1.0231, 0.9769], q:[0.5799, 0.4201], qb:[0.603, 0.5568], phi:[0.4601]] | [M:[[0, 0], [-4, -4], [-6, -2], [2, -2], [-2, 2]], q:[[2, 2], [-2, -2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -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 | t^2.451/(g1^6*g2^2) + t^2.521/(g1^4*g2^4) + t^2.76/(g1^2*g2^2) + (g2^2*t^2.931)/g1^2 + t^3. + (g1^2*t^3.069)/g2^2 + g1^2*g2^6*t^3.41 + t^3.901/(g1^5*g2^5) + (g2*t^4.311)/g1^3 + t^4.38/(g1*g2) + (g1*t^4.449)/g2^3 + (g2^7*t^4.721)/g1 + g1*g2^5*t^4.79 + 2*g1^3*g2^3*t^4.859 + t^4.903/(g1^12*g2^4) + g1^5*g2*t^4.929 + t^4.972/(g1^10*g2^6) + (g1^7*t^4.998)/g2 + t^5.041/(g1^8*g2^8) + t^5.212/(g1^8*g2^4) + t^5.281/(g1^6*g2^6) + t^5.382/g1^8 + t^5.451/(g1^6*g2^2) + (2*t^5.521)/(g1^4*g2^4) + t^5.691/g1^4 + t^5.76/(g1^2*g2^2) + t^5.83/g2^4 + (g2^4*t^5.861)/g1^4 - 2*t^6. - (g1^2*t^6.069)/g2^2 + g2^4*t^6.17 + g2^8*t^6.341 + t^6.352/(g1^11*g2^7) + t^6.422/(g1^9*g2^9) - g1^4*g2^4*t^6.479 - g1^6*g2^2*t^6.549 + t^6.661/(g1^7*g2^7) + t^6.762/(g1^9*g2) + g1^4*g2^12*t^6.82 + (2*t^6.832)/(g1^7*g2^3) + (2*t^6.901)/(g1^5*g2^5) + t^6.97/(g1^3*g2^7) + t^7.071/(g1^5*g2) + (g2^5*t^7.172)/g1^7 + t^7.21/(g1*g2^5) + (2*g2^3*t^7.242)/g1^5 + (3*g2*t^7.311)/g1^3 + t^7.354/(g1^18*g2^6) + (2*t^7.38)/(g1*g2) + t^7.423/(g1^16*g2^8) + (g1*t^7.449)/g2^3 + (g2^5*t^7.481)/g1^3 + t^7.493/(g1^14*g2^10) + (g1^3*t^7.519)/g2^5 + t^7.562/(g1^12*g2^12) + g1*g2*t^7.62 + (g2^9*t^7.652)/g1^3 + t^7.663/(g1^14*g2^6) + (2*g2^7*t^7.721)/g1 + t^7.732/(g1^12*g2^8) + (g1^5*t^7.758)/g2^3 + 2*g1*g2^5*t^7.79 + (2*t^7.802)/(g1^10*g2^10) + t^7.833/(g1^14*g2^2) + g1^3*g2^3*t^7.859 + t^7.903/(g1^12*g2^4) + g1^5*g2*t^7.929 - g1*g2^9*t^7.96 + (2*t^7.972)/(g1^10*g2^6) + (g1^7*t^7.998)/g2 - g1^3*g2^7*t^8.03 + t^8.041/(g1^8*g2^8) + (g1^9*t^8.067)/g2^3 - 2*g1^5*g2^5*t^8.099 + g1*g2^13*t^8.131 + t^8.142/(g1^10*g2^2) - g1^7*g2^3*t^8.168 + g1^3*g2^11*t^8.2 + (2*t^8.212)/(g1^8*g2^4) - g1^9*g2*t^8.238 + g1^5*g2^9*t^8.269 + (3*t^8.281)/(g1^6*g2^6) + (g2^2*t^8.313)/g1^10 + t^8.35/(g1^4*g2^8) - (2*t^8.451)/(g1^6*g2^2) - (3*t^8.521)/(g1^4*g2^4) - t^8.59/(g1^2*g2^6) + (2*g2^2*t^8.622)/g1^6 + t^8.691/g1^4 + (g2^6*t^8.792)/g1^6 + t^8.804/(g1^17*g2^9) - (g2^4*t^8.861)/g1^4 + t^8.873/(g1^15*g2^11) + (g1^2*t^8.899)/g2^6 - (4*g2^2*t^8.931)/g1^2 + t^8.942/(g1^13*g2^13) - t^4.38/(g1*g2*y) - t^6.832/(g1^7*g2^3*y) - t^6.901/(g1^5*g2^5*y) - t^7.141/(g1^3*g2^3*y) + (g1*g2*t^7.62)/y + (g1^3*g2^3*t^7.859)/y + (g1^5*g2*t^7.929)/y + t^7.972/(g1^10*g2^6*y) + t^8.212/(g1^8*g2^4*y) + t^8.281/(g1^6*g2^6*y) + t^8.382/(g1^8*y) + (2*t^8.451)/(g1^6*g2^2*y) + (2*t^8.521)/(g1^4*g2^4*y) + t^8.59/(g1^2*g2^6*y) + t^8.691/(g1^4*y) + t^8.76/(g1^2*g2^2*y) + t^8.83/(g2^4*y) + (g2^4*t^8.861)/(g1^4*y) + (2*g2^2*t^8.931)/(g1^2*y) - (t^4.38*y)/(g1*g2) - (t^6.832*y)/(g1^7*g2^3) - (t^6.901*y)/(g1^5*g2^5) - (t^7.141*y)/(g1^3*g2^3) + g1*g2*t^7.62*y + g1^3*g2^3*t^7.859*y + g1^5*g2*t^7.929*y + (t^7.972*y)/(g1^10*g2^6) + (t^8.212*y)/(g1^8*g2^4) + (t^8.281*y)/(g1^6*g2^6) + (t^8.382*y)/g1^8 + (2*t^8.451*y)/(g1^6*g2^2) + (2*t^8.521*y)/(g1^4*g2^4) + (t^8.59*y)/(g1^2*g2^6) + (t^8.691*y)/g1^4 + (t^8.76*y)/(g1^2*g2^2) + (t^8.83*y)/g2^4 + (g2^4*t^8.861*y)/g1^4 + (2*g2^2*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 |
|---|---|---|---|---|---|---|---|---|
| 946 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6971 | 0.8526 | 0.8176 | [M:[1.0, 0.9519, 1.0, 0.9519, 1.0481], q:[0.524, 0.476], qb:[0.476, 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 | |
| 947 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7067 | 0.861 | 0.8208 | [M:[1.0, 0.8738, 0.8738, 1.0, 1.0, 1.1262], q:[0.5631, 0.4369], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.621 + t^2.811 + 3*t^3. + 2*t^3.379 + t^4.027 + 3*t^4.405 + 6*t^4.784 + t^5.243 + t^5.432 + t^5.621 + 3*t^5.811 - 2*t^6. - t^4.405/y - t^4.405*y | detail | |
| 945 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6934 | 0.8487 | 0.8171 | [M:[1.0, 0.979, 1.0105, 0.9685, 1.0315], q:[0.5105, 0.4895], qb:[0.479, 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 | |
| 948 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.7195 | 0.8834 | 0.8145 | [M:[1.0, 0.8368, 0.844, 0.9927, 1.0073, 0.9927], q:[0.5816, 0.4184], qb:[0.5744, 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 | |
| 951 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7409 | 0.9251 | 0.8009 | [M:[1.0, 0.8474, 0.8238, 1.0236, 0.9764, 0.6908], q:[0.5763, 0.4237], qb:[0.5999, 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 | |
| 1952 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ | 0.5734 | 0.7016 | 0.8172 | [X:[1.5896, 1.3583], M:[1.0, 0.6417, 0.4104, 1.2312, 0.7688], q:[0.6792, 0.3208], qb:[0.9104, 0.4479], phi:[0.4104]] | t^2.306 + t^2.462 + t^3. + t^3.156 + t^3.381 + t^3.538 + t^3.694 + t^3.919 + t^4.075 + t^4.613 + 2*t^4.769 + t^4.925 + t^5.306 + t^5.462 + t^5.688 + t^5.844 - t^4.231/y - t^4.231*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 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 |