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 |
|---|---|---|---|---|---|---|---|---|---|
| 1953 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6791 | 0.8522 | 0.7969 | [M:[1.0793, 0.762, 0.6905, 1.1508, 0.8492], q:[0.5397, 0.381], qb:[0.7698, 0.4682], phi:[0.4603]] | [M:[[4], [-12], [-3], [-5], [5]], q:[[2], [-6]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0 | t^2.071 + t^2.286 + t^2.548 + t^2.762 + t^3.024 + t^3.238 + t^3.452 + t^3.667 + t^3.929 + 2*t^4.143 + t^4.19 + t^4.357 + t^4.405 + t^4.572 + 2*t^4.619 + 2*t^4.833 + t^5.048 + 2*t^5.095 + 3*t^5.31 + 2*t^5.524 + t^5.571 + t^5.738 + t^5.786 + t^5.953 + t^6.047 + 3*t^6.214 + t^6.262 + 3*t^6.429 + 2*t^6.476 + t^6.643 + 4*t^6.69 + t^6.738 + t^6.858 + 3*t^6.905 + 2*t^6.952 + 2*t^7.119 + 2*t^7.167 + t^7.214 + 2*t^7.334 + 3*t^7.381 + t^7.428 + 4*t^7.595 + 2*t^7.643 + 3*t^7.81 + 2*t^7.857 + t^8.024 + t^8.071 + 2*t^8.119 + t^8.239 + 2*t^8.286 + 2*t^8.333 + t^8.38 + 3*t^8.5 + 2*t^8.595 + 3*t^8.715 + 3*t^8.762 + 2*t^8.809 + t^8.929 + 4*t^8.976 - t^4.381/y - t^6.452/y - t^6.667/y + t^7.357/y + t^7.619/y + (2*t^7.833)/y + t^8.048/y + (2*t^8.095)/y + (4*t^8.31)/y + t^8.524/y + t^8.571/y + t^8.738/y + (2*t^8.786)/y - t^4.381*y - t^6.452*y - t^6.667*y + t^7.357*y + t^7.619*y + 2*t^7.833*y + t^8.048*y + 2*t^8.095*y + 4*t^8.31*y + t^8.524*y + t^8.571*y + t^8.738*y + 2*t^8.786*y | t^2.071/g1^3 + t^2.286/g1^12 + g1^5*t^2.548 + t^2.762/g1^4 + g1^13*t^3.024 + g1^4*t^3.238 + t^3.452/g1^5 + t^3.667/g1^14 + g1^3*t^3.929 + (2*t^4.143)/g1^6 + g1^20*t^4.19 + t^4.357/g1^15 + g1^11*t^4.405 + t^4.572/g1^24 + 2*g1^2*t^4.619 + (2*t^4.833)/g1^7 + t^5.048/g1^16 + 2*g1^10*t^5.095 + 3*g1*t^5.31 + (2*t^5.524)/g1^8 + g1^18*t^5.571 + t^5.738/g1^17 + g1^9*t^5.786 + t^5.953/g1^26 + g1^26*t^6.047 + (3*t^6.214)/g1^9 + g1^17*t^6.262 + (3*t^6.429)/g1^18 + 2*g1^8*t^6.476 + t^6.643/g1^27 + (4*t^6.69)/g1 + g1^25*t^6.738 + t^6.858/g1^36 + (3*t^6.905)/g1^10 + 2*g1^16*t^6.952 + (2*t^7.119)/g1^19 + 2*g1^7*t^7.167 + g1^33*t^7.214 + (2*t^7.334)/g1^28 + (3*t^7.381)/g1^2 + g1^24*t^7.428 + (4*t^7.595)/g1^11 + 2*g1^15*t^7.643 + (3*t^7.81)/g1^20 + 2*g1^6*t^7.857 + t^8.024/g1^29 + t^8.071/g1^3 + 2*g1^23*t^8.119 + t^8.239/g1^38 + (2*t^8.286)/g1^12 + 2*g1^14*t^8.333 + g1^40*t^8.38 + (3*t^8.5)/g1^21 + 2*g1^31*t^8.595 + (3*t^8.715)/g1^30 + (3*t^8.762)/g1^4 + 2*g1^22*t^8.809 + t^8.929/g1^39 + (4*t^8.976)/g1^13 - t^4.381/(g1^2*y) - t^6.452/(g1^5*y) - t^6.667/(g1^14*y) + t^7.357/(g1^15*y) + (g1^2*t^7.619)/y + (2*t^7.833)/(g1^7*y) + t^8.048/(g1^16*y) + (2*g1^10*t^8.095)/y + (4*g1*t^8.31)/y + t^8.524/(g1^8*y) + (g1^18*t^8.571)/y + t^8.738/(g1^17*y) + (2*g1^9*t^8.786)/y - (t^4.381*y)/g1^2 - (t^6.452*y)/g1^5 - (t^6.667*y)/g1^14 + (t^7.357*y)/g1^15 + g1^2*t^7.619*y + (2*t^7.833*y)/g1^7 + (t^8.048*y)/g1^16 + 2*g1^10*t^8.095*y + 4*g1*t^8.31*y + (t^8.524*y)/g1^8 + g1^18*t^8.571*y + (t^8.738*y)/g1^17 + 2*g1^9*t^8.786*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 |
|---|---|---|---|---|---|---|---|---|
| 3004 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6924 | 0.8752 | 0.7911 | [M:[1.0754, 0.7738, 0.6935, 1.1558, 0.8442, 0.8442], q:[0.5377, 0.3869], qb:[0.7688, 0.4573], phi:[0.4623]] | t^2.08 + t^2.322 + 2*t^2.533 + t^2.774 + t^2.985 + t^3.226 + t^3.708 + t^3.92 + t^4.131 + 2*t^4.161 + t^4.372 + t^4.402 + 3*t^4.613 + t^4.643 + 3*t^4.854 + 4*t^5.065 + t^5.095 + 4*t^5.307 + 2*t^5.518 + t^5.548 + 2*t^5.759 + t^5.97 - t^6. - t^4.387/y - t^4.387*y | detail | |
| 3002 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6997 | 0.8922 | 0.7843 | [M:[1.0797, 0.7608, 0.6902, 1.1503, 0.8497, 0.6902], q:[0.5399, 0.3804], qb:[0.7699, 0.4693], phi:[0.4601]] | 2*t^2.071 + t^2.282 + t^2.549 + t^2.761 + t^3.028 + t^3.239 + t^3.451 + t^3.663 + 4*t^4.141 + t^4.196 + 2*t^4.353 + t^4.408 + t^4.565 + 3*t^4.62 + 3*t^4.831 + t^5.043 + 3*t^5.098 + 4*t^5.31 + 3*t^5.522 + t^5.577 + 2*t^5.733 + t^5.788 + t^5.945 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 3001 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6719 | 0.8403 | 0.7997 | [M:[1.0755, 0.7735, 0.6934, 1.1556, 0.8444, 1.0755], q:[0.5377, 0.3868], qb:[0.7689, 0.4576], phi:[0.4623]] | t^2.08 + t^2.321 + t^2.533 + t^2.986 + 2*t^3.226 + t^3.467 + t^3.707 + t^3.92 + t^4.132 + 2*t^4.16 + t^4.373 + t^4.401 + 2*t^4.613 + t^4.641 + t^4.854 + 2*t^5.066 + 3*t^5.307 + t^5.519 + 2*t^5.547 + t^5.76 + t^5.787 + t^5.972 - t^6. - t^4.387/y - t^4.387*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 |
|---|---|---|---|---|---|---|---|---|---|
| 599 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7095 | 0.8721 | 0.8136 | [M:[1.0487, 0.8538, 0.8746, 1.0279, 0.9721], q:[0.5244, 0.4269], qb:[0.601, 0.5452], phi:[0.4756]] | t^2.561 + t^2.624 + t^2.854 + t^2.916 + t^3.084 + t^3.146 + t^3.209 + t^3.988 + t^4.281 + t^4.343 + t^4.511 + t^4.573 + t^4.636 + t^4.698 + t^4.803 + t^4.866 + t^5.033 + t^5.123 + t^5.185 + t^5.248 + t^5.415 + t^5.478 + t^5.54 + 2*t^5.708 + 2*t^5.77 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |