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 |
|---|---|---|---|---|---|---|---|---|---|
| 51119 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{7}$ | 0.6704 | 0.8308 | 0.8069 | [M:[1.1573, 0.9835, 0.8427, 0.7473, 0.8881, 0.7246, 1.2527], q:[0.3736, 0.4691], qb:[0.6428, 0.7836], phi:[0.4327]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15], [1, -5], [-2, 16]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$ | ${}$ | -2 | t^2.174 + t^2.528 + t^2.596 + t^2.664 + t^2.951 + t^3.472 + t^3.54 + t^3.758 + t^4.112 + t^4.279 + 2*t^4.348 + t^4.634 + t^4.702 + t^4.77 + t^4.838 + t^5.056 + 2*t^5.124 + t^5.155 + t^5.192 + t^5.261 + t^5.329 + t^5.547 + t^5.615 + t^5.646 + t^5.901 + t^5.932 - 2*t^6. + t^6.068 + 2*t^6.136 + t^6.204 + t^6.286 + t^6.422 + t^6.453 + t^6.521 + t^6.641 + 2*t^6.709 + t^6.876 + 2*t^6.944 + 2*t^7.012 + t^7.063 + t^7.08 + 2*t^7.23 + 2*t^7.298 + t^7.329 + t^7.366 + t^7.434 + t^7.502 + t^7.584 + t^7.652 + 2*t^7.721 + t^7.751 + 2*t^7.789 + 2*t^7.819 + t^7.857 + t^7.871 + t^7.888 + t^7.925 + t^7.993 + t^8.075 + t^8.106 + t^8.143 - 3*t^8.174 + t^8.211 + t^8.225 + t^8.279 + t^8.31 + t^8.392 + t^8.497 - 2*t^8.528 + t^8.565 - t^8.596 + 2*t^8.627 - 2*t^8.664 + 2*t^8.695 + t^8.732 + t^8.746 + 2*t^8.801 + t^8.814 + t^8.852 + t^8.869 + t^8.882 + t^8.913 - 3*t^8.951 - t^8.981 - t^4.298/y - t^6.472/y - t^6.894/y - t^6.962/y - t^7.249/y + t^7.348/y + t^7.634/y + (2*t^7.702)/y + t^7.77/y + t^7.838/y + (3*t^8.124)/y + t^8.192/y + t^8.261/y + t^8.479/y + t^8.547/y + t^8.615/y + t^8.714/y + t^8.932/y - t^4.298*y - t^6.472*y - t^6.894*y - t^6.962*y - t^7.249*y + t^7.348*y + t^7.634*y + 2*t^7.702*y + t^7.77*y + t^7.838*y + 3*t^8.124*y + t^8.192*y + t^8.261*y + t^8.479*y + t^8.547*y + t^8.615*y + t^8.714*y + t^8.932*y | (g1*t^2.174)/g2^5 + (g2^7*t^2.528)/g1 + t^2.596/g2^4 + (g1*t^2.664)/g2^15 + (g2^8*t^2.951)/g1^2 + (g1*t^3.472)/g2^7 + (g1^2*t^3.54)/g2^18 + (g2^16*t^3.758)/g1^2 + (g2^28*t^4.112)/g1^4 + g1*g2*t^4.279 + (2*g1^2*t^4.348)/g2^10 + (g2^13*t^4.634)/g1 + g2^2*t^4.702 + (g1*t^4.77)/g2^9 + (g1^2*t^4.838)/g2^20 + (g2^14*t^5.056)/g1^2 + (2*g2^3*t^5.124)/g1 + (g1^2*t^5.155)/g2^2 + t^5.192/g2^8 + (g1*t^5.261)/g2^19 + (g1^2*t^5.329)/g2^30 + (g2^4*t^5.547)/g1^2 + t^5.615/(g1*g2^7) + (g1^2*t^5.646)/g2^12 + (g2^16*t^5.901)/g1^4 + (g2^11*t^5.932)/g1 - 2*t^6. + (g1*t^6.068)/g2^11 + (2*g1^2*t^6.136)/g2^22 + (g1^3*t^6.204)/g2^33 + (g2^23*t^6.286)/g1^3 + (g2*t^6.422)/g1 + (g1^2*t^6.453)/g2^4 + (g1^3*t^6.521)/g2^15 + (g2^35*t^6.641)/g1^5 + (2*g2^24*t^6.709)/g1^4 + (g1*t^6.876)/g2^3 + (2*g1^2*t^6.944)/g2^14 + (2*g1^3*t^7.012)/g2^25 + (g2^36*t^7.063)/g1^6 + (g1^4*t^7.08)/g2^36 + (2*g2^9*t^7.23)/g1 + (2*t^7.298)/g2^2 + (g1^3*t^7.329)/g2^7 + (g1*t^7.366)/g2^13 + (g1^2*t^7.434)/g2^24 + (g1^3*t^7.502)/g2^35 + (g2^21*t^7.584)/g1^3 + (g2^10*t^7.652)/g1^2 + (2*t^7.721)/(g1*g2) + (g1^2*t^7.751)/g2^6 + (2*t^7.789)/g2^12 + (2*g1^3*t^7.819)/g2^17 + (g1*t^7.857)/g2^23 + (g2^44*t^7.871)/g1^6 + (g1^4*t^7.888)/g2^28 + (g1^2*t^7.925)/g2^34 + (g1^3*t^7.993)/g2^45 + (g2^11*t^8.075)/g1^3 + g2^6*t^8.106 + t^8.143/g1^2 - (3*g1*t^8.174)/g2^5 + t^8.211/(g1*g2^11) + (g2^56*t^8.225)/g1^8 + t^8.279/g2^22 + (g1^3*t^8.31)/g2^27 + (g2^29*t^8.392)/g1^3 + (g2^12*t^8.497)/g1^4 - (2*g2^7*t^8.528)/g1 + (g2*t^8.565)/g1^3 - t^8.596/g2^4 + (2*g1^3*t^8.627)/g2^9 - (2*g1*t^8.664)/g2^15 + (2*g1^4*t^8.695)/g2^20 + (g1^2*t^8.732)/g2^26 + (g2^41*t^8.746)/g1^5 + (2*g1^3*t^8.801)/g2^37 + (g2^30*t^8.814)/g1^4 + (g2^24*t^8.852)/g1^6 + (g1^4*t^8.869)/g2^48 + (g2^19*t^8.882)/g1^3 + g2^14*t^8.913 - (3*g2^8*t^8.951)/g1^2 - g1*g2^3*t^8.981 - t^4.298/(g2^2*y) - (g1*t^6.472)/(g2^7*y) - t^6.894/(g2^6*y) - (g1*t^6.962)/(g2^17*y) - (g2^6*t^7.249)/(g1^2*y) + (g1^2*t^7.348)/(g2^10*y) + (g2^13*t^7.634)/(g1*y) + (2*g2^2*t^7.702)/y + (g1*t^7.77)/(g2^9*y) + (g1^2*t^7.838)/(g2^20*y) + (3*g2^3*t^8.124)/(g1*y) + t^8.192/(g2^8*y) + (g1*t^8.261)/(g2^19*y) + (g2^15*t^8.479)/(g1^3*y) + (g2^4*t^8.547)/(g1^2*y) + t^8.615/(g1*g2^7*y) + (g1^3*t^8.714)/(g2^23*y) + (g2^11*t^8.932)/(g1*y) - (t^4.298*y)/g2^2 - (g1*t^6.472*y)/g2^7 - (t^6.894*y)/g2^6 - (g1*t^6.962*y)/g2^17 - (g2^6*t^7.249*y)/g1^2 + (g1^2*t^7.348*y)/g2^10 + (g2^13*t^7.634*y)/g1 + 2*g2^2*t^7.702*y + (g1*t^7.77*y)/g2^9 + (g1^2*t^7.838*y)/g2^20 + (3*g2^3*t^8.124*y)/g1 + (t^8.192*y)/g2^8 + (g1*t^8.261*y)/g2^19 + (g2^15*t^8.479*y)/g1^3 + (g2^4*t^8.547*y)/g1^2 + (t^8.615*y)/(g1*g2^7) + (g1^3*t^8.714*y)/g2^23 + (g2^11*t^8.932*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56252 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6843 | 0.8549 | 0.8004 | [M:[1.1636, 0.972, 0.8364, 0.7603, 0.8959, 0.7305, 1.2397, 0.8364], q:[0.3801, 0.4563], qb:[0.6479, 0.7835], phi:[0.4331]] | t^2.192 + 2*t^2.509 + t^2.598 + t^2.688 + t^2.916 + t^3.58 + t^3.719 + t^4.037 + t^4.294 + 2*t^4.383 + t^4.612 + 2*t^4.701 + t^4.79 + t^4.879 + 3*t^5.018 + 3*t^5.108 + t^5.186 + 2*t^5.197 + t^5.286 + t^5.375 + t^5.425 + t^5.514 + t^5.604 + t^5.832 + t^5.911 - 3*t^6. - t^4.299/y - t^4.299*y | detail | |
| 56250 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6537 | 0.8118 | 0.8053 | [M:[1.1758, 1.0604, 0.8242, 0.8224, 1.0586, 0.7051, 1.1776], q:[0.4112, 0.413], qb:[0.5284, 0.7647], phi:[0.4707]] | t^2.115 + t^2.472 + t^2.824 + t^3.176 + t^3.181 + t^3.528 + t^3.533 + 2*t^3.879 + t^3.89 + 2*t^4.231 + t^4.236 + t^4.583 + t^4.588 + t^4.94 + t^4.945 + t^5.291 + 2*t^5.297 + t^5.643 + 2*t^5.648 + t^5.995 - t^6. - t^4.412/y - t^4.412*y | detail | |
| 56251 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.659 | 0.8115 | 0.8121 | [M:[1.1582, 1.0037, 0.8418, 0.7564, 0.9183, 0.7182, 1.2436, 1.12], q:[0.3782, 0.4636], qb:[0.6181, 0.78], phi:[0.44]] | t^2.155 + t^2.525 + t^2.755 + t^3.011 + t^3.36 + t^3.475 + t^3.589 + t^3.731 + t^4.102 + t^4.194 + 2*t^4.309 + t^4.565 + t^4.68 + t^4.909 + t^5.029 + t^5.051 + t^5.166 + t^5.51 + t^5.514 + t^5.629 + t^5.766 + 2*t^5.885 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46820 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6898 | 0.8671 | 0.7956 | [M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*y | detail |