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 |
|---|---|---|---|---|---|---|---|---|---|
| 46748 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6612 | 0.8142 | 0.8121 | [M:[1.1643, 1.0142, 0.8357, 0.7762], q:[0.3881, 0.4476], qb:[0.5977, 0.7762], phi:[0.4476]] | [M:[[3], [-18], [-3], [2]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.329 + t^2.507 + t^2.686 + t^3.042 + t^3.136 + t^3.493 + t^3.671 + t^3.85 + t^4.028 + t^4.122 + t^4.3 + t^4.479 + t^4.657 + t^4.836 + t^4.929 + 2*t^5.014 + t^5.193 + t^5.371 + t^5.465 + t^5.643 + t^5.728 + t^5.822 - t^6. + t^6.085 + 2*t^6.178 + t^6.272 + 2*t^6.357 + 2*t^6.535 + t^6.629 + t^6.714 + 2*t^6.807 + 2*t^6.986 + t^7.071 + 2*t^7.164 + 2*t^7.258 + t^7.343 + t^7.436 + 3*t^7.521 + 2*t^7.615 + 3*t^7.7 + t^7.878 + 2*t^7.972 + 2*t^8.057 + t^8.065 + 2*t^8.15 - t^8.329 + 2*t^8.414 + t^8.422 + 2*t^8.601 - t^8.686 + t^8.771 + t^8.779 + 2*t^8.864 + t^8.958 - t^4.343/y - t^6.671/y - t^7.028/y + t^7.3/y - t^7.385/y + t^7.657/y + t^7.836/y + (2*t^8.014)/y + t^8.193/y + t^8.371/y + t^8.465/y + t^8.55/y + t^8.643/y + t^8.728/y + (2*t^8.822)/y - t^4.343*y - t^6.671*y - t^7.028*y + t^7.3*y - t^7.385*y + t^7.657*y + t^7.836*y + 2*t^8.014*y + t^8.193*y + t^8.371*y + t^8.465*y + t^8.55*y + t^8.643*y + t^8.728*y + 2*t^8.822*y | g1^2*t^2.329 + t^2.507/g1^3 + t^2.686/g1^8 + t^3.042/g1^18 + g1^13*t^3.136 + g1^3*t^3.493 + t^3.671/g1^2 + t^3.85/g1^7 + t^4.028/g1^12 + g1^19*t^4.122 + g1^14*t^4.3 + g1^9*t^4.479 + g1^4*t^4.657 + t^4.836/g1 + g1^30*t^4.929 + (2*t^5.014)/g1^6 + t^5.193/g1^11 + t^5.371/g1^16 + g1^15*t^5.465 + g1^10*t^5.643 + t^5.728/g1^26 + g1^5*t^5.822 - t^6. + t^6.085/g1^36 + (2*t^6.178)/g1^5 + g1^26*t^6.272 + (2*t^6.357)/g1^10 + (2*t^6.535)/g1^15 + g1^16*t^6.629 + t^6.714/g1^20 + 2*g1^11*t^6.807 + 2*g1^6*t^6.986 + t^7.071/g1^30 + 2*g1*t^7.164 + 2*g1^32*t^7.258 + t^7.343/g1^4 + g1^27*t^7.436 + (3*t^7.521)/g1^9 + 2*g1^22*t^7.615 + (3*t^7.7)/g1^14 + t^7.878/g1^19 + 2*g1^12*t^7.972 + (2*t^8.057)/g1^24 + g1^43*t^8.065 + 2*g1^7*t^8.15 - g1^2*t^8.329 + (2*t^8.414)/g1^34 + g1^33*t^8.422 + 2*g1^28*t^8.601 - t^8.686/g1^8 + t^8.771/g1^44 + g1^23*t^8.779 + (2*t^8.864)/g1^13 + g1^18*t^8.958 - t^4.343/(g1^4*y) - t^6.671/(g1^2*y) - t^7.028/(g1^12*y) + (g1^14*t^7.3)/y - t^7.385/(g1^22*y) + (g1^4*t^7.657)/y + t^7.836/(g1*y) + (2*t^8.014)/(g1^6*y) + t^8.193/(g1^11*y) + t^8.371/(g1^16*y) + (g1^15*t^8.465)/y + t^8.55/(g1^21*y) + (g1^10*t^8.643)/y + t^8.728/(g1^26*y) + (2*g1^5*t^8.822)/y - (t^4.343*y)/g1^4 - (t^6.671*y)/g1^2 - (t^7.028*y)/g1^12 + g1^14*t^7.3*y - (t^7.385*y)/g1^22 + g1^4*t^7.657*y + (t^7.836*y)/g1 + (2*t^8.014*y)/g1^6 + (t^8.193*y)/g1^11 + (t^8.371*y)/g1^16 + g1^15*t^8.465*y + (t^8.55*y)/g1^21 + g1^10*t^8.643*y + (t^8.728*y)/g1^26 + 2*g1^5*t^8.822*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 |
|---|---|---|---|---|---|---|---|---|
| 46934 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.6754 | 0.8386 | 0.8054 | [M:[1.1657, 1.006, 0.8343, 0.7771, 0.8343], q:[0.3886, 0.4458], qb:[0.6055, 0.7771], phi:[0.4458]] | t^2.331 + 2*t^2.503 + t^2.675 + t^3.018 + t^3.154 + t^3.669 + t^3.84 + t^4.012 + t^4.148 + t^4.319 + t^4.491 + t^4.663 + 2*t^4.834 + t^4.97 + 4*t^5.006 + 2*t^5.178 + t^5.349 + t^5.485 + t^5.521 + 2*t^5.657 + t^5.692 - 2*t^6. - t^4.337/y - t^4.337*y | detail | |
| 48199 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6583 | 0.8122 | 0.8106 | [M:[1.1538, 1.0769, 0.8462, 0.7692], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 2*t^4.615 + t^4.846 + 2*t^5.077 + 2*t^5.308 + 2*t^5.538 + t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 11571/17576, c: 14275/17576, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
| 46989 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.6434 | 0.7824 | 0.8224 | [M:[1.165, 1.0102, 0.835, 0.7766, 1.2234], q:[0.3883, 0.4467], qb:[0.6015, 0.7766], phi:[0.4467]] | t^2.505 + t^2.68 + t^3.03 + t^3.145 + t^3.495 + 2*t^3.67 + t^3.845 + t^4.02 + t^4.134 + t^4.31 + t^4.485 + t^4.949 + t^5.01 + t^5.185 + t^5.65 + t^5.711 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 48306 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6791 | 0.8461 | 0.8026 | [M:[1.1636, 1.0181, 0.8364, 0.7758, 0.7758], q:[0.3879, 0.4485], qb:[0.594, 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 | |
| 48646 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6522 | 0.7997 | 0.8155 | [M:[1.1599, 1.0406, 0.8401, 0.7733, 1.0931], q:[0.3866, 0.4535], qb:[0.5727, 0.7733], phi:[0.4535]] | t^2.32 + t^2.52 + t^3.079 + t^3.122 + t^3.279 + t^3.48 + t^3.68 + t^3.881 + t^4.038 + t^4.081 + t^4.239 + t^4.439 + t^4.64 + t^4.797 + t^4.84 + t^5.041 + t^5.398 + 2*t^5.599 + t^5.799 - t^6. - t^4.36/y - t^4.36*y | detail | |
| 49023 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.4254 | 0.5109 | 0.8326 | [X:[1.5789, 1.3684], M:[1.2632, 0.4211, 0.7368, 0.8421], q:[0.4211, 0.3158], qb:[1.1579, 0.8421], phi:[0.3158]] | t^2.211 + t^2.526 + t^2.842 + t^3.158 + t^4.105 + t^4.421 + t^4.737 + 2*t^5.053 + 2*t^5.368 + t^5.684 - t^6. - t^3.947/y - t^3.947*y | detail | {a: 23343/54872, c: 7009/13718, X1: 30/19, X2: 26/19, M1: 24/19, M2: 8/19, M3: 14/19, M4: 16/19, q1: 8/19, q2: 6/19, qb1: 22/19, qb2: 16/19, phi1: 6/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46292 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6613 | 0.8142 | 0.8122 | [M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 0.777], phi:[0.446]] | t^2.303 + t^2.517 + t^2.676 + t^3.048 + t^3.166 + t^3.483 + t^3.641 + t^3.855 + t^4.07 + t^4.131 + t^4.289 + t^4.504 + t^4.606 + t^4.82 + t^4.938 + t^4.979 + t^5.035 + t^5.193 + t^5.352 + t^5.469 + t^5.683 + t^5.724 + t^5.842 + t^5.944 - 2*t^6. - t^4.338/y - t^4.338*y | detail |