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 |
|---|---|---|---|---|---|---|---|---|---|
| 1561 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6845 | 0.8553 | 0.8003 | [M:[0.9729, 0.7808, 0.9249, 0.8288, 1.1712, 0.7808], q:[0.6367, 0.3904], qb:[0.4384, 0.7808], phi:[0.4384]] | [M:[[-18], [2], [-13], [-3], [3], [2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$ | ${}$ | -2 | 2*t^2.342 + t^2.486 + t^2.631 + t^2.775 + t^2.919 + t^3.514 + t^3.802 + t^3.946 + t^4.252 + t^4.396 + t^4.541 + 3*t^4.685 + 2*t^4.829 + 3*t^4.973 + 3*t^5.117 + t^5.135 + 3*t^5.261 + t^5.405 + 2*t^5.549 + t^5.694 + t^5.838 + t^5.856 - 2*t^6. + t^6.144 + 3*t^6.288 + 2*t^6.432 + t^6.576 + t^6.595 + t^6.721 + t^6.739 + t^6.865 + 2*t^6.883 + 5*t^7.027 + 3*t^7.171 + 4*t^7.315 + 6*t^7.459 + 2*t^7.478 + 6*t^7.604 + 4*t^7.748 + t^7.766 + 6*t^7.892 - t^7.91 + 3*t^8.036 + 4*t^8.18 + 2*t^8.324 - 5*t^8.342 + 2*t^8.468 - t^8.486 + t^8.612 + t^8.649 + t^8.756 + t^8.937 - t^4.315/y - (2*t^6.658)/y - t^6.946/y - t^7.09/y - t^7.234/y + t^7.396/y + t^7.541/y + (2*t^7.685)/y + (2*t^7.829)/y + (4*t^7.973)/y + (3*t^8.117)/y + (3*t^8.261)/y + (2*t^8.405)/y + t^8.549/y + t^8.694/y + (2*t^8.856)/y - t^4.315*y - 2*t^6.658*y - t^6.946*y - t^7.09*y - t^7.234*y + t^7.396*y + t^7.541*y + 2*t^7.685*y + 2*t^7.829*y + 4*t^7.973*y + 3*t^8.117*y + 3*t^8.261*y + 2*t^8.405*y + t^8.549*y + t^8.694*y + 2*t^8.856*y | 2*g1^2*t^2.342 + t^2.486/g1^3 + t^2.631/g1^8 + t^2.775/g1^13 + t^2.919/g1^18 + g1^3*t^3.514 + t^3.802/g1^7 + t^3.946/g1^12 + g1^19*t^4.252 + g1^14*t^4.396 + g1^9*t^4.541 + 3*g1^4*t^4.685 + (2*t^4.829)/g1 + (3*t^4.973)/g1^6 + (3*t^5.117)/g1^11 + g1^30*t^5.135 + (3*t^5.261)/g1^16 + t^5.405/g1^21 + (2*t^5.549)/g1^26 + t^5.694/g1^31 + t^5.838/g1^36 + g1^5*t^5.856 - 2*t^6. + t^6.144/g1^5 + (3*t^6.288)/g1^10 + (2*t^6.432)/g1^15 + t^6.576/g1^20 + g1^21*t^6.595 + t^6.721/g1^25 + g1^16*t^6.739 + t^6.865/g1^30 + 2*g1^11*t^6.883 + 5*g1^6*t^7.027 + 3*g1*t^7.171 + (4*t^7.315)/g1^4 + (6*t^7.459)/g1^9 + 2*g1^32*t^7.478 + (6*t^7.604)/g1^14 + (4*t^7.748)/g1^19 + g1^22*t^7.766 + (6*t^7.892)/g1^24 - g1^17*t^7.91 + (3*t^8.036)/g1^29 + (4*t^8.18)/g1^34 + (2*t^8.324)/g1^39 - 5*g1^2*t^8.342 + (2*t^8.468)/g1^44 - t^8.486/g1^3 + t^8.612/g1^49 + g1^33*t^8.649 + t^8.756/g1^54 + g1^23*t^8.937 - t^4.315/(g1^4*y) - (2*t^6.658)/(g1^2*y) - t^6.946/(g1^12*y) - t^7.09/(g1^17*y) - t^7.234/(g1^22*y) + (g1^14*t^7.396)/y + (g1^9*t^7.541)/y + (2*g1^4*t^7.685)/y + (2*t^7.829)/(g1*y) + (4*t^7.973)/(g1^6*y) + (3*t^8.117)/(g1^11*y) + (3*t^8.261)/(g1^16*y) + (2*t^8.405)/(g1^21*y) + t^8.549/(g1^26*y) + t^8.694/(g1^31*y) + (2*g1^5*t^8.856)/y - (t^4.315*y)/g1^4 - (2*t^6.658*y)/g1^2 - (t^6.946*y)/g1^12 - (t^7.09*y)/g1^17 - (t^7.234*y)/g1^22 + g1^14*t^7.396*y + g1^9*t^7.541*y + 2*g1^4*t^7.685*y + (2*t^7.829*y)/g1 + (4*t^7.973*y)/g1^6 + (3*t^8.117*y)/g1^11 + (3*t^8.261*y)/g1^16 + (2*t^8.405*y)/g1^21 + (t^8.549*y)/g1^26 + (t^8.694*y)/g1^31 + 2*g1^5*t^8.856*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2643 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6849 | 0.8564 | 0.7998 | [M:[1.0356, 0.7738, 0.9702, 0.8393, 1.1607, 0.7738, 0.9644], q:[0.5774, 0.3869], qb:[0.4524, 0.7738], phi:[0.4524]] | 2*t^2.321 + t^2.518 + t^2.714 + t^2.893 + t^2.911 + t^3.482 + t^3.875 + t^4.054 + t^4.071 + t^4.25 + t^4.447 + 3*t^4.643 + t^4.822 + 2*t^4.839 + 3*t^5.036 + 2*t^5.215 + 3*t^5.232 + t^5.411 + t^5.428 + t^5.607 + t^5.786 + 2*t^5.804 + t^5.821 - 2*t^6. - t^4.357/y - t^4.357*y | detail | |
| 2640 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6791 | 0.8461 | 0.8026 | [M:[1.0181, 0.7758, 0.9575, 0.8364, 1.1636, 0.7758, 1.0425], q:[0.594, 0.3879], qb:[0.4485, 0.7758], phi:[0.4485]] | 2*t^2.327 + t^2.509 + t^2.691 + t^3.054 + t^3.127 + t^3.491 + t^3.854 + t^4.036 + t^4.109 + t^4.291 + t^4.473 + 3*t^4.655 + 2*t^4.836 + t^4.909 + 3*t^5.018 + t^5.2 + 2*t^5.382 + 2*t^5.455 + t^5.636 + t^5.745 + 2*t^5.818 - 2*t^6. - t^4.345/y - t^4.345*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 |
|---|---|---|---|---|---|---|---|---|---|
| 987 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6669 | 0.8242 | 0.8092 | [M:[0.9689, 0.7812, 0.922, 0.8281, 1.1719], q:[0.6405, 0.3906], qb:[0.4375, 0.7812], phi:[0.4375]] | t^2.344 + t^2.484 + t^2.625 + t^2.766 + t^2.907 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.265 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + 2*t^4.969 + 2*t^5.11 + t^5.156 + 2*t^5.25 + t^5.391 + 2*t^5.532 + t^5.673 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail |