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 |
---|---|---|---|---|---|---|---|---|---|
1454 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6951 | 0.8532 | 0.8147 | [M:[0.9402, 1.0427, 0.9573, 1.0256, 0.9744, 1.0085], q:[0.5384, 0.5214], qb:[0.5043, 0.453], phi:[0.4957]] | [M:[[14], [-10], [10], [-6], [6], [-2]], q:[[-9], [-5]], qb:[[-1], [11]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.821 + t^2.872 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.205 + t^4.359 + t^4.41 + t^4.462 + t^4.513 + t^4.564 + 2*t^4.615 + t^4.667 + t^4.718 + t^5.641 + t^5.692 + t^5.744 + t^5.795 + 2*t^5.846 + 2*t^5.897 + 2*t^5.949 - t^6. + t^6.103 + t^6.154 + t^7.026 + t^7.077 + t^7.128 + 2*t^7.18 + t^7.231 + 2*t^7.282 + 3*t^7.333 + 2*t^7.385 + 3*t^7.436 + 2*t^7.487 + 2*t^7.538 + 3*t^7.59 + 2*t^7.641 + 2*t^7.692 + t^7.743 + t^7.795 + t^7.846 + t^8.411 + t^8.462 + t^8.513 + 2*t^8.564 + 2*t^8.616 + 2*t^8.667 + 2*t^8.718 + 3*t^8.769 + t^8.821 - t^8.974 - t^4.487/y - t^7.308/y + t^7.667/y + t^8.692/y + t^8.744/y + (2*t^8.795)/y + (2*t^8.846)/y + (3*t^8.897)/y + (3*t^8.949)/y - t^4.487*y - t^7.308*y + t^7.667*y + t^8.692*y + t^8.744*y + 2*t^8.795*y + 2*t^8.846*y + 3*t^8.897*y + 3*t^8.949*y | g1^14*t^2.821 + g1^10*t^2.872 + g1^6*t^2.923 + g1^2*t^2.974 + t^3.026/g1^2 + t^3.077/g1^6 + t^3.128/g1^10 + g1^23*t^4.205 + g1^11*t^4.359 + g1^7*t^4.41 + g1^3*t^4.462 + t^4.513/g1 + t^4.564/g1^5 + (2*t^4.615)/g1^9 + t^4.667/g1^13 + t^4.718/g1^17 + g1^28*t^5.641 + g1^24*t^5.692 + g1^20*t^5.744 + g1^16*t^5.795 + 2*g1^12*t^5.846 + 2*g1^8*t^5.897 + 2*g1^4*t^5.949 - t^6. + t^6.103/g1^8 + t^6.154/g1^12 + g1^37*t^7.026 + g1^33*t^7.077 + g1^29*t^7.128 + 2*g1^25*t^7.18 + g1^21*t^7.231 + 2*g1^17*t^7.282 + 3*g1^13*t^7.333 + 2*g1^9*t^7.385 + 3*g1^5*t^7.436 + 2*g1*t^7.487 + (2*t^7.538)/g1^3 + (3*t^7.59)/g1^7 + (2*t^7.641)/g1^11 + (2*t^7.692)/g1^15 + t^7.743/g1^19 + t^7.795/g1^23 + t^7.846/g1^27 + g1^46*t^8.411 + g1^42*t^8.462 + g1^38*t^8.513 + 2*g1^34*t^8.564 + 2*g1^30*t^8.616 + 2*g1^26*t^8.667 + 2*g1^22*t^8.718 + 3*g1^18*t^8.769 + g1^14*t^8.821 - g1^2*t^8.974 - (g1*t^4.487)/y - (g1^15*t^7.308)/y + t^7.667/(g1^13*y) + (g1^24*t^8.692)/y + (g1^20*t^8.744)/y + (2*g1^16*t^8.795)/y + (2*g1^12*t^8.846)/y + (3*g1^8*t^8.897)/y + (3*g1^4*t^8.949)/y - g1*t^4.487*y - g1^15*t^7.308*y + (t^7.667*y)/g1^13 + g1^24*t^8.692*y + g1^20*t^8.744*y + 2*g1^16*t^8.795*y + 2*g1^12*t^8.846*y + 3*g1^8*t^8.897*y + 3*g1^4*t^8.949*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 |
---|---|---|---|---|---|---|---|---|
2547 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.7001 | 0.8631 | 0.8111 | [M:[0.9102, 1.0642, 0.9358, 1.0385, 0.9615, 1.0128, 0.9358], q:[0.5578, 0.5321], qb:[0.5064, 0.4294], phi:[0.4936]] | t^2.73 + 2*t^2.807 + t^2.884 + t^2.961 + t^3.039 + t^3.116 + t^4.057 + t^4.288 + t^4.365 + t^4.442 + t^4.519 + t^4.596 + 2*t^4.673 + t^4.75 + t^4.827 + t^5.461 + 2*t^5.538 + 3*t^5.615 + 2*t^5.692 + 3*t^5.769 + 3*t^5.846 + 2*t^5.923 - 2*t^6. - t^4.481/y - t^4.481*y | detail | |
2541 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6922 | 0.8481 | 0.8162 | [M:[0.9724, 1.0197, 0.9803, 1.0118, 0.9882, 1.0039, 1.0197], q:[0.5178, 0.5099], qb:[0.502, 0.4783], phi:[0.498]] | t^2.917 + t^2.964 + t^2.988 + t^3.012 + t^3.036 + 2*t^3.059 + t^4.364 + t^4.435 + t^4.459 + t^4.482 + t^4.506 + t^4.53 + 2*t^4.553 + t^4.577 + t^4.601 + t^5.834 + t^5.929 + t^5.953 + 2*t^5.976 - 2*t^6. - t^4.494/y - t^4.494*y | detail | |
2545 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6979 | 0.8587 | 0.8127 | [M:[0.9216, 1.056, 0.944, 1.0336, 0.9664, 1.0112, 0.9664], q:[0.5504, 0.528], qb:[0.5056, 0.4384], phi:[0.4944]] | t^2.765 + t^2.832 + 2*t^2.899 + t^2.966 + t^3.034 + t^3.168 + t^4.113 + t^4.315 + t^4.382 + t^4.45 + t^4.517 + t^4.584 + 2*t^4.651 + t^4.719 + t^4.786 + t^5.529 + t^5.597 + 2*t^5.664 + 2*t^5.731 + 4*t^5.798 + 2*t^5.866 + 2*t^5.933 - 2*t^6. - t^4.483/y - t^4.483*y | detail | |
2542 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6931 | 0.8495 | 0.8159 | [M:[0.9594, 1.029, 0.971, 1.0174, 0.9826, 1.0058, 1.0174], q:[0.5261, 0.5145], qb:[0.5029, 0.4681], phi:[0.4971]] | t^2.878 + t^2.913 + t^2.983 + t^3.017 + 2*t^3.052 + t^3.087 + t^4.3 + t^4.404 + t^4.439 + t^4.474 + t^4.509 + t^4.544 + 2*t^4.578 + t^4.613 + t^4.648 + t^5.756 + t^5.791 + t^5.896 + 2*t^5.93 + 2*t^5.965 - 2*t^6. - t^4.491/y - t^4.491*y | detail | |
2543 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{6}M_{7}$ | 0.6959 | 0.8548 | 0.8141 | [M:[0.9339, 1.0472, 0.9528, 1.0283, 0.9717, 1.0094, 0.9906], q:[0.5425, 0.5236], qb:[0.5047, 0.4481], phi:[0.4953]] | t^2.802 + t^2.858 + t^2.915 + 2*t^2.972 + t^3.085 + t^3.142 + t^4.174 + t^4.344 + t^4.401 + t^4.457 + t^4.514 + t^4.571 + 2*t^4.628 + t^4.684 + t^4.741 + t^5.603 + t^5.66 + t^5.717 + 2*t^5.773 + 2*t^5.83 + 2*t^5.887 + 3*t^5.943 - 2*t^6. - t^4.486/y - t^4.486*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 |
---|---|---|---|---|---|---|---|---|---|
943 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7134 | 0.8806 | 0.8101 | [M:[0.846, 1.0534, 0.9466, 0.9529, 1.0471, 0.8524], q:[0.6272, 0.5267], qb:[0.4262, 0.5203], phi:[0.4749]] | t^2.538 + t^2.557 + t^2.84 + t^2.849 + t^2.859 + t^3.141 + t^3.16 + t^3.982 + t^4.264 + t^4.283 + t^4.547 + t^4.566 + 2*t^4.585 + t^4.867 + t^4.886 + t^5.076 + t^5.095 + t^5.115 + t^5.188 + t^5.378 + t^5.387 + t^5.397 + t^5.407 + t^5.416 + t^5.679 + t^5.689 + 2*t^5.698 + t^5.708 + t^5.718 + t^5.99 - 2*t^6. - t^4.425/y - t^4.425*y | detail |