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 |
|---|---|---|---|---|---|---|---|---|---|
| 50885 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6974 | 0.8554 | 0.8153 | [M:[1.0548, 1.0, 0.9452, 0.9635, 1.0183, 0.9452], q:[0.4817, 0.4635], qb:[0.5183, 0.5731], phi:[0.4909]] | [M:[[6], [0], [-6], [-4], [2], [-6]], q:[[-2], [-4]], qb:[[2], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.836 + t^2.89 + t^2.945 + t^3. + t^3.055 + t^3.274 + t^4.253 + t^4.308 + t^4.363 + t^4.418 + t^4.473 + 2*t^4.582 + t^4.637 + t^4.747 + t^4.911 + 2*t^5.671 + t^5.726 + 3*t^5.781 + t^5.836 + 3*t^5.89 + t^5.945 - 2*t^6. + t^6.11 - t^6.164 + t^6.219 + t^6.548 + 2*t^7.089 + 2*t^7.144 + 3*t^7.199 + 4*t^7.253 + 2*t^7.308 + 2*t^7.363 + 3*t^7.418 + t^7.473 + 2*t^7.527 + 2*t^7.582 + t^7.692 + t^7.747 + 2*t^7.856 + t^7.911 + t^8.021 + t^8.185 + 3*t^8.507 + 2*t^8.562 + 4*t^8.616 + 3*t^8.671 + 5*t^8.726 + t^8.781 - t^8.89 - t^8.945 - t^4.473/y - t^7.308/y - t^7.363/y + t^7.582/y + t^7.637/y + t^8.671/y + (2*t^8.726)/y + (2*t^8.781)/y + (3*t^8.836)/y + (3*t^8.89)/y + (2*t^8.945)/y - t^4.473*y - t^7.308*y - t^7.363*y + t^7.582*y + t^7.637*y + t^8.671*y + 2*t^8.726*y + 2*t^8.781*y + 3*t^8.836*y + 3*t^8.89*y + 2*t^8.945*y | (2*t^2.836)/g1^6 + t^2.89/g1^4 + t^2.945/g1^2 + t^3. + g1^2*t^3.055 + g1^10*t^3.274 + t^4.253/g1^9 + t^4.308/g1^7 + t^4.363/g1^5 + t^4.418/g1^3 + t^4.473/g1 + 2*g1^3*t^4.582 + g1^5*t^4.637 + g1^9*t^4.747 + g1^15*t^4.911 + (2*t^5.671)/g1^12 + t^5.726/g1^10 + (3*t^5.781)/g1^8 + t^5.836/g1^6 + (3*t^5.89)/g1^4 + t^5.945/g1^2 - 2*t^6. + g1^4*t^6.11 - g1^6*t^6.164 + g1^8*t^6.219 + g1^20*t^6.548 + (2*t^7.089)/g1^15 + (2*t^7.144)/g1^13 + (3*t^7.199)/g1^11 + (4*t^7.253)/g1^9 + (2*t^7.308)/g1^7 + (2*t^7.363)/g1^5 + (3*t^7.418)/g1^3 + t^7.473/g1 + 2*g1*t^7.527 + 2*g1^3*t^7.582 + g1^7*t^7.692 + g1^9*t^7.747 + 2*g1^13*t^7.856 + g1^15*t^7.911 + g1^19*t^8.021 + g1^25*t^8.185 + (3*t^8.507)/g1^18 + (2*t^8.562)/g1^16 + (4*t^8.616)/g1^14 + (3*t^8.671)/g1^12 + (5*t^8.726)/g1^10 + t^8.781/g1^8 - t^8.89/g1^4 - t^8.945/g1^2 - t^4.473/(g1*y) - t^7.308/(g1^7*y) - t^7.363/(g1^5*y) + (g1^3*t^7.582)/y + (g1^5*t^7.637)/y + t^8.671/(g1^12*y) + (2*t^8.726)/(g1^10*y) + (2*t^8.781)/(g1^8*y) + (3*t^8.836)/(g1^6*y) + (3*t^8.89)/(g1^4*y) + (2*t^8.945)/(g1^2*y) - (t^4.473*y)/g1 - (t^7.308*y)/g1^7 - (t^7.363*y)/g1^5 + g1^3*t^7.582*y + g1^5*t^7.637*y + (t^8.671*y)/g1^12 + (2*t^8.726*y)/g1^10 + (2*t^8.781*y)/g1^8 + (3*t^8.836*y)/g1^6 + (3*t^8.89*y)/g1^4 + (2*t^8.945*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 |
|---|---|---|---|---|---|---|---|---|
| 56020 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6993 | 0.8588 | 0.8143 | [M:[1.0628, 1.0, 0.9372, 0.9582, 1.0209, 0.9372, 0.9791], q:[0.4791, 0.4582], qb:[0.5209, 0.5837], phi:[0.4895]] | 2*t^2.812 + t^2.874 + 2*t^2.937 + t^3. + t^3.314 + t^4.218 + t^4.28 + t^4.343 + t^4.406 + t^4.469 + 2*t^4.594 + t^4.657 + t^4.782 + t^4.971 + 2*t^5.623 + t^5.686 + 5*t^5.749 + 2*t^5.812 + 3*t^5.874 + t^5.937 - 3*t^6. - t^4.469/y - t^4.469*y | detail | |
| 56018 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6959 | 0.8526 | 0.8162 | [M:[1.0469, 1.0, 0.9531, 0.9687, 1.0156, 0.9531, 1.0156], q:[0.4844, 0.4687], qb:[0.5156, 0.5626], phi:[0.4922]] | 2*t^2.859 + t^2.906 + t^3. + 2*t^3.047 + t^3.235 + t^4.289 + t^4.336 + t^4.383 + t^4.43 + t^4.477 + 2*t^4.57 + t^4.617 + t^4.711 + t^4.852 + 2*t^5.719 + t^5.765 + t^5.812 + 4*t^5.906 + t^5.953 - 3*t^6. - t^4.477/y - t^4.477*y | detail | |
| 56021 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7082 | 0.8763 | 0.8082 | [M:[1.0876, 1.0, 0.9124, 0.9416, 1.0292, 0.9124, 0.854], q:[0.4708, 0.4416], qb:[0.5292, 0.6168], phi:[0.4854]] | t^2.562 + 2*t^2.737 + t^2.825 + t^2.912 + t^3. + t^3.088 + t^4.106 + t^4.193 + t^4.281 + t^4.369 + t^4.456 + 2*t^4.631 + t^4.719 + t^4.894 + t^5.124 + t^5.157 + 2*t^5.299 + t^5.387 + 3*t^5.474 + 2*t^5.562 + 4*t^5.65 + t^5.737 + 3*t^5.825 + t^5.912 - 2*t^6. - t^4.456/y - t^4.456*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48144 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 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 |