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 |
---|---|---|---|---|---|---|---|---|---|
980 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ | 0.6303 | 0.778 | 0.8102 | [M:[1.0252, 0.8855, 1.1145, 0.7961, 1.2039], q:[0.5321, 0.4427], qb:[0.3534, 0.7612], phi:[0.4777]] | [M:[[-38], [14], [-14], [-10], [10]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.388 + t^2.656 + t^2.866 + t^3.075 + t^3.344 + t^3.553 + t^3.612 + t^3.821 + t^3.88 + 2*t^4.089 + t^4.357 + t^4.626 + t^4.777 + t^5.045 + t^5.254 + t^5.313 + t^5.522 + t^5.732 + 2*t^5.941 - t^6. + t^6.151 + 2*t^6.21 - t^6.268 + 2*t^6.419 + 2*t^6.478 + t^6.629 + t^6.687 + 2*t^6.746 + t^6.897 + 2*t^6.955 + t^7.014 + t^7.106 + 2*t^7.165 + t^7.282 + t^7.374 + 2*t^7.433 + t^7.492 + 3*t^7.643 + 2*t^7.701 + 2*t^7.911 + 2*t^7.969 + 3*t^8.179 + t^8.237 + t^8.33 - t^8.388 + t^8.447 + t^8.505 + 2*t^8.598 - 3*t^8.656 + 2*t^8.715 + 2*t^8.807 - 2*t^8.925 + t^8.983 - t^4.433/y - t^7.299/y + t^7.357/y - t^7.508/y + t^7.567/y + t^8.045/y + t^8.254/y + t^8.464/y + t^8.522/y + (2*t^8.732)/y + (2*t^8.941)/y - t^4.433*y - t^7.299*y + t^7.357*y - t^7.508*y + t^7.567*y + t^8.045*y + t^8.254*y + t^8.464*y + t^8.522*y + 2*t^8.732*y + 2*t^8.941*y | t^2.388/g1^10 + g1^14*t^2.656 + t^2.866/g1^12 + t^3.075/g1^38 + t^3.344/g1^14 + t^3.553/g1^40 + g1^10*t^3.612 + t^3.821/g1^16 + g1^34*t^3.88 + 2*g1^8*t^4.089 + g1^32*t^4.357 + g1^56*t^4.626 + t^4.777/g1^20 + g1^4*t^5.045 + t^5.254/g1^22 + g1^28*t^5.313 + g1^2*t^5.522 + t^5.732/g1^24 + (2*t^5.941)/g1^50 - t^6. + t^6.151/g1^76 + (2*t^6.21)/g1^26 - g1^24*t^6.268 + (2*t^6.419)/g1^52 + (2*t^6.478)/g1^2 + t^6.629/g1^78 + t^6.687/g1^28 + 2*g1^22*t^6.746 + t^6.897/g1^54 + (2*t^6.955)/g1^4 + g1^46*t^7.014 + t^7.106/g1^80 + (2*t^7.165)/g1^30 + g1^70*t^7.282 + t^7.374/g1^56 + (2*t^7.433)/g1^6 + g1^44*t^7.492 + (3*t^7.643)/g1^32 + 2*g1^18*t^7.701 + (2*t^7.911)/g1^8 + 2*g1^42*t^7.969 + 3*g1^16*t^8.179 + g1^66*t^8.237 + t^8.33/g1^60 - t^8.388/g1^10 + g1^40*t^8.447 + g1^90*t^8.505 + (2*t^8.598)/g1^36 - 3*g1^14*t^8.656 + 2*g1^64*t^8.715 + (2*t^8.807)/g1^62 - 2*g1^38*t^8.925 + g1^88*t^8.983 - t^4.433/(g1^6*y) - t^7.299/(g1^18*y) + (g1^32*t^7.357)/y - t^7.508/(g1^44*y) + (g1^6*t^7.567)/y + (g1^4*t^8.045)/y + t^8.254/(g1^22*y) + t^8.464/(g1^48*y) + (g1^2*t^8.522)/y + (2*t^8.732)/(g1^24*y) + (2*t^8.941)/(g1^50*y) - (t^4.433*y)/g1^6 - (t^7.299*y)/g1^18 + g1^32*t^7.357*y - (t^7.508*y)/g1^44 + g1^6*t^7.567*y + g1^4*t^8.045*y + (t^8.254*y)/g1^22 + (t^8.464*y)/g1^48 + g1^2*t^8.522*y + (2*t^8.732*y)/g1^24 + (2*t^8.941*y)/g1^50 |
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 |
---|---|---|---|---|---|---|---|---|
1518 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.6203 | 0.7616 | 0.8145 | [M:[1.0056, 0.8927, 1.1073, 0.7909, 1.2091, 1.1073], q:[0.5481, 0.4463], qb:[0.3446, 0.7627], phi:[0.4746]] | t^2.373 + t^2.847 + t^3.017 + 2*t^3.322 + t^3.491 + t^3.627 + t^3.797 + t^3.932 + 2*t^4.102 + t^4.407 + t^4.712 + t^4.746 + t^5.22 + t^5.695 + 2*t^5.864 - 2*t^6. - t^4.424/y - t^4.424*y | detail | |
1525 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ | 0.6409 | 0.796 | 0.8052 | [M:[1.0441, 0.8785, 1.1215, 0.8011, 1.1989, 0.8785], q:[0.5166, 0.4392], qb:[0.3618, 0.7597], phi:[0.4807]] | t^2.403 + 2*t^2.635 + t^2.884 + t^3.132 + t^3.597 + t^3.613 + t^3.829 + t^3.845 + 2*t^4.077 + t^4.31 + t^4.542 + t^4.807 + 2*t^5.039 + 3*t^5.271 + t^5.287 + 2*t^5.519 + t^5.768 - 2*t^6. - t^4.442/y - t^4.442*y | detail | |
1519 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ | 0.6471 | 0.8079 | 0.801 | [M:[1.0155, 0.889, 1.111, 0.7936, 1.2064, 0.7936], q:[0.54, 0.4445], qb:[0.3491, 0.7619], phi:[0.4761]] | 2*t^2.381 + t^2.667 + t^2.857 + t^3.047 + t^3.333 + t^3.523 + t^3.809 + t^3.906 + 2*t^4.095 + t^4.382 + t^4.668 + 3*t^4.761 + 2*t^5.048 + 2*t^5.238 + t^5.334 + t^5.427 + t^5.524 + 2*t^5.714 + 3*t^5.903 - 2*t^6. - t^4.428/y - t^4.428*y | detail | |
1522 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6503 | 0.8152 | 0.7977 | [M:[1.0329, 0.8826, 1.1174, 0.7981, 1.2019, 0.723], q:[0.5258, 0.4413], qb:[0.3568, 0.7606], phi:[0.4789]] | t^2.169 + t^2.394 + t^2.648 + t^2.873 + t^3.099 + t^3.352 + t^3.578 + t^3.606 + t^3.859 + 2*t^4.084 + 2*t^4.338 + t^4.563 + t^4.591 + t^4.789 + t^4.817 + 2*t^5.042 + 2*t^5.268 + t^5.296 + 2*t^5.521 + 2*t^5.747 + t^5.775 + 2*t^5.972 - t^6. - t^4.437/y - t^4.437*y | detail | |
1517 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6471 | 0.8081 | 0.8007 | [M:[1.0602, 0.8726, 1.1274, 0.8053, 1.1947, 0.7788], q:[0.5035, 0.4363], qb:[0.369, 0.7584], phi:[0.4832]] | t^2.336 + t^2.416 + t^2.618 + t^2.899 + t^3.18 + t^3.382 + t^3.584 + t^3.786 + t^3.865 + 2*t^4.067 + t^4.269 + t^4.471 + t^4.673 + t^4.752 + t^4.832 + t^4.954 + t^5.034 + 2*t^5.235 + t^5.315 + 2*t^5.517 + t^5.719 + t^5.798 + t^5.92 - t^6. - t^4.45/y - t^4.45*y | detail | |
1521 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6264 | 0.7715 | 0.812 | [M:[1.0437, 0.8787, 1.1213, 0.801, 1.199, 1.0388], q:[0.517, 0.4393], qb:[0.3616, 0.7597], phi:[0.4806]] | t^2.403 + t^2.636 + t^3.117 + t^3.131 + t^3.364 + t^3.597 + t^3.612 + t^3.83 + t^3.845 + 2*t^4.078 + t^4.311 + t^4.544 + t^4.806 + t^5.039 + t^5.272 + t^5.519 + t^5.752 - t^6. - t^4.442/y - t^4.442*y | detail | |
1523 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6508 | 0.8175 | 0.7961 | [M:[1.0156, 0.889, 1.111, 0.7936, 1.2064, 0.6982], q:[0.5399, 0.4445], qb:[0.3491, 0.7619], phi:[0.4761]] | t^2.095 + t^2.381 + t^2.667 + t^2.857 + t^3.047 + t^3.333 + t^3.523 + t^3.619 + t^3.809 + 2*t^4.095 + t^4.189 + t^4.382 + t^4.475 + t^4.668 + 2*t^4.761 + t^4.951 + t^5.048 + t^5.141 + t^5.238 + t^5.334 + t^5.428 + t^5.524 + t^5.617 + 2*t^5.714 + 3*t^5.904 - t^6. - t^4.428/y - t^4.428*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 |
---|---|---|---|---|---|---|---|---|---|
609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6698 | 0.8297 | 0.8073 | [M:[0.9823, 0.7363, 0.8719, 0.8467, 1.1533], q:[0.6495, 0.3682], qb:[0.4785, 0.7852], phi:[0.4297]] | t^2.209 + t^2.54 + t^2.578 + t^2.616 + t^2.947 + t^3.46 + t^3.498 + t^3.829 + t^4.16 + t^4.304 + t^4.342 + t^4.418 + t^4.673 + t^4.749 + t^4.787 + t^4.825 + t^5.08 + t^5.118 + 2*t^5.156 + t^5.186 + t^5.194 + t^5.232 + t^5.525 + t^5.563 + t^5.707 + t^5.894 - 2*t^6. - t^4.289/y - t^4.289*y | detail |