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 |
---|---|---|---|---|---|---|---|---|---|
836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ | 0.6993 | 0.8557 | 0.8173 | [M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | [M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$ | ${}$ | -2 | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. + t^6.049 + t^6.079 + t^6.128 + t^6.225 + t^6.256 + t^6.304 + t^6.432 + t^6.828 + 2*t^7.005 + t^7.103 + 3*t^7.182 + t^7.279 + 3*t^7.358 + t^7.377 + t^7.456 + 3*t^7.535 + t^7.554 + t^7.632 + t^7.651 + 3*t^7.711 + t^7.73 + t^7.809 + t^7.828 + 2*t^7.888 + t^7.907 + t^7.986 + t^8.059 + t^8.065 + t^8.235 + t^8.284 + t^8.412 + 2*t^8.461 - t^8.51 + t^8.558 + t^8.589 + 3*t^8.637 - 4*t^8.686 + t^8.735 + t^8.765 - t^8.784 + 3*t^8.814 + t^8.833 - 5*t^8.863 + 2*t^8.912 + t^8.942 - 3*t^8.961 + 4*t^8.991 - t^4.456/y - t^7.142/y + t^7.77/y + t^8.549/y + t^8.647/y + t^8.726/y + t^8.775/y + (2*t^8.823)/y + (2*t^8.902)/y + t^8.951/y - t^4.456*y - t^7.142*y + t^7.77*y + t^8.549*y + t^8.647*y + t^8.726*y + t^8.775*y + 2*t^8.823*y + 2*t^8.902*y + t^8.951*y | g1^8*t^2.686 + g1^4*g2^4*t^2.863 + t^2.961/g2^8 + g2^8*t^3.039 + (g2^2*t^3.088)/g1^2 + t^3.137/(g1^4*g2^4) + (g2^12*t^3.216)/g1^4 + (g1^9*t^4.142)/g2 + g1^5*g2^3*t^4.319 + (g1*t^4.416)/g2^9 + 2*g1*g2^7*t^4.495 + t^4.593/(g1^3*g2^5) + (g2^11*t^4.672)/g1^3 + t^4.691/(g1^7*g2^17) + t^4.77/(g1^7*g2) + (g2^15*t^4.849)/g1^7 + g1^16*t^5.372 + g1^12*g2^4*t^5.549 + g1^8*g2^8*t^5.726 + g1^6*g2^2*t^5.775 + g1^4*g2^12*t^5.902 + g1^2*g2^6*t^5.951 - 2*t^6. + t^6.049/(g1^2*g2^6) + g2^16*t^6.079 + (g2^10*t^6.128)/g1^2 + t^6.225/(g1^6*g2^2) + (g2^20*t^6.256)/g1^4 + (g2^14*t^6.304)/g1^6 + (g2^24*t^6.432)/g1^8 + (g1^17*t^6.828)/g2 + 2*g1^13*g2^3*t^7.005 + (g1^9*t^7.103)/g2^9 + 3*g1^9*g2^7*t^7.182 + (g1^5*t^7.279)/g2^5 + 3*g1^5*g2^11*t^7.358 + (g1*t^7.377)/g2^17 + (g1*t^7.456)/g2 + 3*g1*g2^15*t^7.535 + t^7.554/(g1^3*g2^13) + (g2^3*t^7.632)/g1^3 + t^7.651/(g1^7*g2^25) + (3*g2^19*t^7.711)/g1^3 + t^7.73/(g1^7*g2^9) + (g2^7*t^7.809)/g1^7 + t^7.828/(g1^11*g2^21) + (2*g2^23*t^7.888)/g1^7 + t^7.907/(g1^11*g2^5) + (g2^11*t^7.986)/g1^11 + g1^24*t^8.059 + (g2^27*t^8.065)/g1^11 + g1^20*g2^4*t^8.235 + (g1^18*t^8.284)/g2^2 + g1^16*g2^8*t^8.412 + 2*g1^14*g2^2*t^8.461 - (g1^12*t^8.51)/g2^4 + (g1^10*t^8.558)/g2^10 + g1^12*g2^12*t^8.589 + 3*g1^10*g2^6*t^8.637 - 4*g1^8*t^8.686 + (g1^6*t^8.735)/g2^6 + g1^8*g2^16*t^8.765 - (g1^4*t^8.784)/g2^12 + 3*g1^6*g2^10*t^8.814 + (g1^2*t^8.833)/g2^18 - 5*g1^4*g2^4*t^8.863 + (2*g1^2*t^8.912)/g2^2 + g1^4*g2^20*t^8.942 - (3*t^8.961)/g2^8 + 4*g1^2*g2^14*t^8.991 - (g1*t^4.456)/(g2*y) - (g1^9*t^7.142)/(g2*y) + t^7.77/(g1^7*g2*y) + (g1^12*g2^4*t^8.549)/y + (g1^8*t^8.647)/(g2^8*y) + (g1^8*g2^8*t^8.726)/y + (g1^6*g2^2*t^8.775)/y + (2*g1^4*t^8.823)/(g2^4*y) + (2*g1^4*g2^12*t^8.902)/y + (g1^2*g2^6*t^8.951)/y - (g1*t^4.456*y)/g2 - (g1^9*t^7.142*y)/g2 + (t^7.77*y)/(g1^7*g2) + g1^12*g2^4*t^8.549*y + (g1^8*t^8.647*y)/g2^8 + g1^8*g2^8*t^8.726*y + g1^6*g2^2*t^8.775*y + (2*g1^4*t^8.823*y)/g2^4 + 2*g1^4*g2^12*t^8.902*y + g1^2*g2^6*t^8.951*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 |
---|---|---|---|---|---|---|---|---|
1331 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ | 0.7046 | 0.8662 | 0.8135 | [M:[0.8644, 1.0339, 1.0679, 1.0001, 0.9321, 0.9999, 0.9321], q:[0.5677, 0.5679], qb:[0.4322, 0.4999], phi:[0.4831]] | t^2.593 + 2*t^2.796 + 2*t^3. + t^3.102 + t^3.203 + t^4.042 + t^4.246 + 3*t^4.449 + t^4.652 + t^4.653 + t^4.855 + t^4.856 + t^4.857 + t^5.186 + 2*t^5.39 + 3*t^5.593 + t^5.695 + 2*t^5.796 + 2*t^5.898 + 2*t^5.999 - 3*t^6. - t^4.449/y - t^4.449*y | detail | |
1328 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6961 | 0.8501 | 0.8189 | [M:[0.9281, 1.0245, 1.0229, 0.9739, 0.9771, 1.0261, 1.0229], q:[0.5621, 0.5098], qb:[0.4641, 0.5131], phi:[0.4878]] | t^2.784 + t^2.922 + 2*t^3.069 + t^3.073 + t^3.078 + t^3.225 + t^4.248 + t^4.385 + t^4.395 + t^4.522 + t^4.532 + 2*t^4.542 + t^4.679 + t^4.689 + t^4.836 + t^5.569 + t^5.858 + t^5.99 + t^5.995 - 3*t^6. - t^4.463/y - t^4.463*y | detail | |
1329 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ | 0.7018 | 0.8592 | 0.8168 | [M:[0.8944, 1.0363, 1.0329, 0.9602, 0.9671, 1.0398, 0.9602], q:[0.5926, 0.513], qb:[0.4472, 0.5199], phi:[0.4818]] | t^2.683 + 2*t^2.881 + t^2.901 + t^3.099 + t^3.109 + t^3.337 + t^4.129 + t^4.326 + t^4.347 + t^4.523 + t^4.544 + 2*t^4.565 + t^4.762 + t^4.783 + t^5.001 + t^5.367 + t^5.564 + t^5.585 + 2*t^5.761 + t^5.782 + t^5.792 + t^5.979 + 2*t^5.99 - 3*t^6. - t^4.445/y - t^4.445*y | detail | |
1333 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.709 | 0.8723 | 0.8128 | [M:[0.8671, 1.0452, 1.0426, 0.9522, 0.9574, 1.0478, 0.8619], q:[0.6142, 0.5187], qb:[0.4336, 0.5239], phi:[0.4774]] | t^2.586 + t^2.601 + t^2.857 + t^2.872 + t^3.128 + t^3.135 + t^3.143 + t^4.034 + t^4.289 + t^4.305 + t^4.544 + t^4.56 + 2*t^4.576 + t^4.831 + t^4.846 + t^5.117 + t^5.172 + t^5.187 + t^5.203 + t^5.442 + t^5.458 + t^5.474 + t^5.713 + t^5.721 + t^5.729 + t^5.737 + t^5.745 + t^5.992 - 2*t^6. - t^4.432/y - t^4.432*y | detail | |
2021 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5708 | 0.7142 | 0.7992 | [M:[0.6907, 1.1471, 1.015, 0.7207, 0.985, 1.2793], q:[0.9339, 0.3754], qb:[0.3454, 0.6396], phi:[0.4264]] | t^2.072 + t^2.162 + t^2.955 + t^3.045 + t^3.351 + 2*t^3.441 + t^3.531 + t^3.838 + t^4.144 + t^4.234 + t^4.324 + t^4.721 + t^5.027 + 2*t^5.117 + t^5.207 + t^5.424 + 2*t^5.514 + 2*t^5.604 + t^5.694 + t^5.91 - t^6. - t^4.279/y - t^4.279*y | detail | |
2022 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6516 | 0.817 | 0.7975 | [M:[0.7525, 1.0285, 1.1904, 1.1334, 0.8096, 0.8666], q:[0.4904, 0.7571], qb:[0.3762, 0.4333], phi:[0.4857]] | t^2.257 + t^2.429 + t^2.6 + t^2.771 + t^3.086 + t^3.4 + t^3.571 + t^3.715 + t^3.886 + 2*t^4.057 + t^4.228 + t^4.4 + t^4.515 + t^4.686 + 2*t^4.857 + 2*t^5.029 + 2*t^5.2 + t^5.343 + t^5.371 + t^5.514 + t^5.542 + t^5.685 + t^5.857 + t^5.972 - t^6. - t^4.457/y - t^4.457*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
535 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.369 + t^2.688 + t^2.736 + t^2.945 + t^3.055 + t^3.288 + t^3.521 + t^4.093 + t^4.301 + t^4.411 + t^4.51 + t^4.62 + t^4.668 + t^4.73 + t^4.739 + t^4.877 + t^4.987 + t^5.057 + t^5.106 + t^5.244 + t^5.314 + t^5.376 + t^5.424 + t^5.473 + t^5.657 + t^5.89 + t^5.976 - 3*t^6. - t^4.356/y - t^4.356*y | detail |