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 |
|---|---|---|---|---|---|---|---|---|---|
| 964 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.7216 | 0.8864 | 0.8141 | [M:[0.8185, 1.0, 0.8261, 0.9925, 1.0075, 0.9925], q:[0.6815, 0.5], qb:[0.4925, 0.5075], phi:[0.4546]] | [M:[[-4, 0], [0, 0], [-4, 1], [0, -1], [0, 1], [0, -1]], q:[[4, 0], [0, 0]], qb:[[0, -1], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -3 | t^2.456 + t^2.478 + t^2.728 + 2*t^2.977 + t^3. + t^3.567 + t^4.319 + t^4.341 + 2*t^4.364 + t^4.387 + t^4.409 + t^4.886 + t^4.908 + t^4.911 + t^4.931 + t^4.934 + t^4.956 + t^5.183 + t^5.206 + t^5.433 + t^5.453 + 3*t^5.456 + 2*t^5.705 + t^5.728 + 2*t^5.955 - 3*t^6. - t^6.023 + t^6.295 - t^6.522 + t^6.774 + t^6.797 + 2*t^6.819 + 2*t^6.842 + 2*t^6.865 + t^6.887 + t^7.046 + t^7.069 + 2*t^7.092 + t^7.114 + t^7.134 + t^7.137 + 2*t^7.296 + 2*t^7.319 + 3*t^7.341 + 2*t^7.364 + t^7.367 + 2*t^7.387 + t^7.389 + t^7.409 + t^7.412 + t^7.435 - t^7.591 - t^7.636 + t^7.639 + t^7.662 - t^7.681 + t^7.684 + t^7.863 + t^7.886 + t^7.889 + t^7.908 + 3*t^7.911 + t^7.931 + 2*t^7.934 + t^7.976 - t^8.158 + t^8.161 + 3*t^8.183 - t^8.203 + t^8.43 + 2*t^8.433 + t^8.453 - 3*t^8.456 - 4*t^8.478 + t^8.498 - 2*t^8.501 + t^8.637 + t^8.66 + 4*t^8.683 + 2*t^8.705 - t^8.725 + t^8.75 + 2*t^8.773 + t^8.796 + t^8.818 + 2*t^8.932 - t^8.955 - 7*t^8.977 - t^4.364/y - t^6.819/y - t^6.842/y - t^7.092/y - t^7.341/y + t^7.387/y + t^7.636/y + t^7.886/y + t^7.908/y + t^7.934/y + t^8.183/y + t^8.206/y + (2*t^8.433)/y + (3*t^8.456)/y + t^8.478/y + (2*t^8.705)/y + t^8.728/y + t^8.955/y + (2*t^8.977)/y - t^4.364*y - t^6.819*y - t^6.842*y - t^7.092*y - t^7.341*y + t^7.387*y + t^7.636*y + t^7.886*y + t^7.908*y + t^7.934*y + t^8.183*y + t^8.206*y + 2*t^8.433*y + 3*t^8.456*y + t^8.478*y + 2*t^8.705*y + t^8.728*y + t^8.955*y + 2*t^8.977*y | t^2.456/g1^4 + (g2*t^2.478)/g1^4 + t^2.728/g1^2 + (2*t^2.977)/g2 + t^3. + g1^4*g2*t^3.567 + t^4.319/(g1*g2^2) + t^4.341/(g1*g2) + (2*t^4.364)/g1 + (g2*t^4.387)/g1 + (g2^2*t^4.409)/g1 + (g1^3*t^4.886)/g2 + g1^3*t^4.908 + t^4.911/g1^8 + g1^3*g2*t^4.931 + (g2*t^4.934)/g1^8 + (g2^2*t^4.956)/g1^8 + t^5.183/g1^6 + (g2*t^5.206)/g1^6 + t^5.433/(g1^4*g2) + g1^7*t^5.453 + (3*t^5.456)/g1^4 + (2*t^5.705)/(g1^2*g2) + t^5.728/g1^2 + (2*t^5.955)/g2^2 - 3*t^6. - g2*t^6.023 + g1^2*g2*t^6.295 - (g1^4*t^6.522)/g2 + t^6.774/(g1^5*g2^2) + t^6.797/(g1^5*g2) + (2*t^6.819)/g1^5 + (2*g2*t^6.842)/g1^5 + (2*g2^2*t^6.865)/g1^5 + (g2^3*t^6.887)/g1^5 + t^7.046/(g1^3*g2^2) + t^7.069/(g1^3*g2) + (2*t^7.092)/g1^3 + (g2*t^7.114)/g1^3 + g1^8*g2^2*t^7.134 + (g2^2*t^7.137)/g1^3 + (2*t^7.296)/(g1*g2^3) + (2*t^7.319)/(g1*g2^2) + (3*t^7.341)/(g1*g2) + (2*t^7.364)/g1 + t^7.367/g1^12 + (2*g2*t^7.387)/g1 + (g2*t^7.389)/g1^12 + (g2^2*t^7.409)/g1 + (g2^2*t^7.412)/g1^12 + (g2^3*t^7.435)/g1^12 - (g1*t^7.591)/g2^2 - g1*t^7.636 + t^7.639/g1^10 + (g2*t^7.662)/g1^10 - g1*g2^2*t^7.681 + (g2^2*t^7.684)/g1^10 + (g1^3*t^7.863)/g2^2 + (g1^3*t^7.886)/g2 + t^7.889/(g1^8*g2) + g1^3*t^7.908 + (3*t^7.911)/g1^8 + g1^3*g2*t^7.931 + (2*g2*t^7.934)/g1^8 + g1^3*g2^3*t^7.976 - (g1^5*t^8.158)/g2 + t^8.161/(g1^6*g2) + (3*t^8.183)/g1^6 - g1^5*g2*t^8.203 + (g1^7*t^8.43)/g2 + (2*t^8.433)/(g1^4*g2) + g1^7*t^8.453 - (3*t^8.456)/g1^4 - (4*g2*t^8.478)/g1^4 + g1^7*g2^2*t^8.498 - (2*g2^2*t^8.501)/g1^4 + t^8.637/(g1^2*g2^4) + t^8.66/(g1^2*g2^3) + (4*t^8.683)/(g1^2*g2^2) + (2*t^8.705)/(g1^2*g2) - g1^9*t^8.725 + (g2*t^8.75)/g1^2 + (2*g2^2*t^8.773)/g1^2 + (g2^3*t^8.796)/g1^2 + (g2^4*t^8.818)/g1^2 + (2*t^8.932)/g2^3 - t^8.955/g2^2 - (7*t^8.977)/g2 - t^4.364/(g1*y) - t^6.819/(g1^5*y) - (g2*t^6.842)/(g1^5*y) - t^7.092/(g1^3*y) - t^7.341/(g1*g2*y) + (g2*t^7.387)/(g1*y) + (g1*t^7.636)/y + (g1^3*t^7.886)/(g2*y) + (g1^3*t^7.908)/y + (g2*t^7.934)/(g1^8*y) + t^8.183/(g1^6*y) + (g2*t^8.206)/(g1^6*y) + (2*t^8.433)/(g1^4*g2*y) + (3*t^8.456)/(g1^4*y) + (g2*t^8.478)/(g1^4*y) + (2*t^8.705)/(g1^2*g2*y) + t^8.728/(g1^2*y) + t^8.955/(g2^2*y) + (2*t^8.977)/(g2*y) - (t^4.364*y)/g1 - (t^6.819*y)/g1^5 - (g2*t^6.842*y)/g1^5 - (t^7.092*y)/g1^3 - (t^7.341*y)/(g1*g2) + (g2*t^7.387*y)/g1 + g1*t^7.636*y + (g1^3*t^7.886*y)/g2 + g1^3*t^7.908*y + (g2*t^7.934*y)/g1^8 + (t^8.183*y)/g1^6 + (g2*t^8.206*y)/g1^6 + (2*t^8.433*y)/(g1^4*g2) + (3*t^8.456*y)/g1^4 + (g2*t^8.478*y)/g1^4 + (2*t^8.705*y)/(g1^2*g2) + (t^8.728*y)/g1^2 + (t^8.955*y)/g2^2 + (2*t^8.977*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1498 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{3}$ | 0.695 | 0.8523 | 0.8155 | [M:[0.9784, 1.0, 1.0216, 0.9568, 1.0432, 0.9568], q:[0.5216, 0.5], qb:[0.4568, 0.5432], phi:[0.4946]] | 2*t^2.87 + t^2.935 + t^2.968 + t^3. + t^3.065 + t^3.194 + t^4.224 + t^4.354 + t^4.419 + 2*t^4.484 + t^4.549 + 2*t^4.613 + t^4.678 + t^4.743 + 2*t^5.741 + t^5.806 + 2*t^5.838 + t^5.87 + t^5.903 + 2*t^5.935 + t^5.968 - 2*t^6. - t^4.484/y - t^4.484*y | detail | |
| 1499 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6973 | 0.8552 | 0.8154 | [M:[0.9649, 1.0, 1.0176, 0.9473, 1.0527, 0.9473], q:[0.5351, 0.5], qb:[0.4473, 0.5527], phi:[0.4912]] | 2*t^2.842 + t^2.895 + t^2.947 + t^3. + t^3.053 + t^3.263 + t^4.157 + t^4.316 + t^4.421 + 2*t^4.474 + t^4.579 + t^4.632 + t^4.684 + t^4.737 + t^4.79 + 2*t^5.684 + t^5.737 + 3*t^5.789 + t^5.842 + 3*t^5.895 + t^5.947 - 2*t^6. - t^4.474/y - t^4.474*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 |
|---|---|---|---|---|---|---|---|---|---|
| 601 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ | 0.7222 | 0.8878 | 0.8134 | [M:[0.8228, 1.0, 0.8046, 1.0182, 0.9818], q:[0.6772, 0.5], qb:[0.5182, 0.4818], phi:[0.4557]] | t^2.414 + t^2.468 + t^2.734 + t^2.945 + t^3. + t^3.055 + t^3.477 + t^4.258 + t^4.312 + 2*t^4.367 + t^4.422 + t^4.477 + t^4.828 + t^4.844 + t^4.882 + t^4.899 + t^4.937 + t^4.953 + t^5.148 + t^5.203 + t^5.359 + t^5.414 + t^5.43 + 2*t^5.468 + t^5.68 + t^5.734 + t^5.789 + t^5.891 - 2*t^6. - t^4.367/y - t^4.367*y | detail |