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 |
|---|---|---|---|---|---|---|---|---|---|
| 46965 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 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]] | [M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1], [2, 0]], 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 |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | 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^6.073 + t^6.137 + t^6.21 + t^6.273 + t^6.283 + t^6.482 - t^6.493 + t^6.555 + t^6.557 + t^6.693 + t^6.828 + 2*t^6.902 + 2*t^6.975 + t^7.048 + t^7.175 + 2*t^7.248 + 3*t^7.322 + 2*t^7.395 + t^7.468 + t^7.52 + t^7.542 + t^7.594 + t^7.595 + t^7.667 + 2*t^7.668 + t^7.74 + 2*t^7.742 + t^7.815 + t^7.888 + t^7.94 + t^7.95 + t^7.962 + t^8.014 + t^8.015 + t^8.035 + t^8.087 + t^8.088 + t^8.162 + t^8.224 + 2*t^8.297 + t^8.36 + 2*t^8.37 + t^8.443 - 3*t^8.507 - 4*t^8.58 + 2*t^8.643 - 2*t^8.653 + 2*t^8.717 + t^8.78 + 3*t^8.79 - t^8.853 + t^8.863 - 4*t^8.927 + t^8.937 + t^8.989 + t^8.99 - t^4.395/y - t^6.902/y - t^6.975/y + t^7.815/y + t^7.888/y + t^8.087/y + t^8.433/y + (2*t^8.507)/y + (2*t^8.58)/y + t^8.653/y + t^8.717/y + t^8.79/y + t^8.853/y + (2*t^8.927)/y - t^4.395*y - t^6.902*y - t^6.975*y + t^7.815*y + t^7.888*y + t^8.087*y + t^8.433*y + 2*t^8.507*y + 2*t^8.58*y + t^8.653*y + t^8.717*y + t^8.79*y + t^8.853*y + 2*t^8.927*y | (g2*t^2.507)/g1^6 + t^2.58/g1^4 + (g2*t^2.927)/g1^2 + t^3. + (g1^2*t^3.073)/g2 + g1^2*t^3.21 + g1^2*g2*t^3.347 + t^3.975/g1^5 + (g2*t^4.322)/g1^3 + t^4.395/g1 + (g1*t^4.468)/g2 + (g2^2*t^4.668)/g1 + g1*g2*t^4.742 + 2*g1^3*t^4.815 + (g1^5*t^4.888)/g2 + (g1^7*t^4.962)/g2^2 + (g2^2*t^5.014)/g1^12 + (g2*t^5.087)/g1^10 + t^5.16/g1^8 + (g2^2*t^5.433)/g1^8 + (g2*t^5.507)/g1^6 + t^5.58/g1^4 + (g2*t^5.717)/g1^4 + t^5.79/g1^2 + (g2^2*t^5.853)/g1^4 - 2*t^6. - (g1^2*t^6.073)/g2 + g2*t^6.137 + g1^2*t^6.21 + g2^2*t^6.273 + (g1^4*t^6.283)/g2 + (g2*t^6.482)/g1^11 - (g1^6*t^6.493)/g2 + t^6.555/g1^9 + g1^4*g2*t^6.557 + g1^4*g2^2*t^6.693 + (g2^2*t^6.828)/g1^9 + (2*g2*t^6.902)/g1^7 + (2*t^6.975)/g1^5 + t^7.048/(g1^3*g2) + (g2^3*t^7.175)/g1^7 + (2*g2^2*t^7.248)/g1^5 + (3*g2*t^7.322)/g1^3 + (2*t^7.395)/g1 + (g1*t^7.468)/g2 + (g2^3*t^7.52)/g1^18 + (g1^3*t^7.542)/g2^2 + (g2^2*t^7.594)/g1^16 + (g2^3*t^7.595)/g1^3 + (g2*t^7.667)/g1^14 + (2*g2^2*t^7.668)/g1 + t^7.74/g1^12 + 2*g1*g2*t^7.742 + g1^3*t^7.815 + (g1^5*t^7.888)/g2 + (g2^3*t^7.94)/g1^14 + t^7.95/g1^10 + (g1^7*t^7.962)/g2^2 + (g2^2*t^8.014)/g1^12 + g1*g2^3*t^8.015 + (g1^9*t^8.035)/g2^3 + (g2*t^8.087)/g1^10 + g1^3*g2^2*t^8.088 + g1^5*g2*t^8.162 + (g2^2*t^8.224)/g1^10 + (2*g2*t^8.297)/g1^8 + (g2^3*t^8.36)/g1^10 + (2*t^8.37)/g1^6 + t^8.443/(g1^4*g2) - (3*g2*t^8.507)/g1^6 - (4*t^8.58)/g1^4 + (2*g2^2*t^8.643)/g1^6 - (2*t^8.653)/(g1^2*g2) + (2*g2*t^8.717)/g1^4 + (g2^3*t^8.78)/g1^6 + (3*t^8.79)/g1^2 - (g2^2*t^8.853)/g1^4 + t^8.863/g2 - (4*g2*t^8.927)/g1^2 + (g1^2*t^8.937)/g2^2 + (g2^2*t^8.989)/g1^17 + (g2^3*t^8.99)/g1^4 - t^4.395/(g1*y) - (g2*t^6.902)/(g1^7*y) - t^6.975/(g1^5*y) + (g1^3*t^7.815)/y + (g1^5*t^7.888)/(g2*y) + (g2*t^8.087)/(g1^10*y) + (g2^2*t^8.433)/(g1^8*y) + (2*g2*t^8.507)/(g1^6*y) + (2*t^8.58)/(g1^4*y) + t^8.653/(g1^2*g2*y) + (g2*t^8.717)/(g1^4*y) + t^8.79/(g1^2*y) + (g2^2*t^8.853)/(g1^4*y) + (2*g2*t^8.927)/(g1^2*y) - (t^4.395*y)/g1 - (g2*t^6.902*y)/g1^7 - (t^6.975*y)/g1^5 + g1^3*t^7.815*y + (g1^5*t^7.888*y)/g2 + (g2*t^8.087*y)/g1^10 + (g2^2*t^8.433*y)/g1^8 + (2*g2*t^8.507*y)/g1^6 + (2*t^8.58*y)/g1^4 + (t^8.653*y)/(g1^2*g2) + (g2*t^8.717*y)/g1^4 + (t^8.79*y)/g1^2 + (g2^2*t^8.853*y)/g1^4 + (2*g2*t^8.927*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 |
|---|---|---|---|---|---|---|---|---|
| 55384 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.7125 | 0.871 | 0.818 | [M:[1.0055, 1.0, 0.9945, 0.857, 0.8625, 1.0715, 0.9945], q:[0.4285, 0.566], qb:[0.5715, 0.577], phi:[0.4643]] | t^2.571 + t^2.588 + 2*t^2.983 + t^3. + t^3.214 + t^3.446 + t^3.964 + t^4.376 + t^4.393 + t^4.409 + t^4.789 + t^4.805 + 2*t^4.822 + t^4.838 + t^4.855 + t^5.142 + t^5.159 + t^5.175 + t^5.554 + 2*t^5.571 + t^5.786 + t^5.802 + 2*t^5.967 - 3*t^6. - t^4.393/y - t^4.393*y | detail | |
| 55379 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7342 | 0.9146 | 0.8027 | [M:[0.9754, 1.0, 1.0246, 0.8619, 0.8374, 1.069, 0.6726], q:[0.431, 0.5936], qb:[0.569, 0.5445], phi:[0.4655]] | t^2.018 + t^2.512 + t^2.586 + t^2.926 + t^3. + t^3.074 + t^3.207 + t^3.341 + t^4.036 + t^4.323 + t^4.396 + t^4.47 + t^4.53 + t^4.604 + t^4.663 + t^4.737 + 2*t^4.811 + t^4.884 + t^4.944 + t^4.958 + t^5.018 + t^5.024 + t^5.092 + t^5.098 + t^5.171 + t^5.225 + t^5.358 + t^5.438 + t^5.512 + t^5.586 + t^5.719 + t^5.793 + t^5.853 - 2*t^6. - t^4.396/y - t^4.396*y | detail | |
| 54969 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.0, 0.8459, 0.7442, 0.8983, 1.1279], q:[0.3721, 0.4738], qb:[0.6279, 0.782], phi:[0.436]] | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. - t^4.308/y - t^4.308*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.38/y - t^4.38*y | detail |