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 |
|---|---|---|---|---|---|---|---|---|---|
| 541 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6135 | 0.7921 | 0.7745 | [M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | [M:[[4, 4], [-12, -12], [-4, -4], [12, 12], [-5, 7]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$ | -2 | 2*t^2.196 + t^2.249 + t^2.674 + 2*t^3.109 + t^3.326 + t^3.533 + t^3.587 + t^3.751 + t^4.175 + t^4.228 + t^4.282 + 3*t^4.392 + 2*t^4.446 + t^4.499 + 2*t^4.87 + t^4.924 + 4*t^5.305 + t^5.348 + 2*t^5.358 + t^5.522 + 2*t^5.73 + 4*t^5.783 + t^5.836 + t^5.947 - 2*t^6. - t^6.053 + t^6.207 + t^6.217 + t^6.261 + 2*t^6.371 + 2*t^6.425 + 2*t^6.434 + t^6.478 + t^6.531 + 4*t^6.589 + 3*t^6.642 + t^6.652 + 2*t^6.695 + t^6.748 + t^6.849 + t^6.859 + t^6.903 - t^6.912 + t^6.956 + 3*t^7.067 + 2*t^7.12 - t^7.13 + t^7.173 + 2*t^7.284 + t^7.39 + 6*t^7.501 + 2*t^7.544 + t^7.554 + t^7.598 + t^7.608 + t^7.709 + t^7.718 + t^7.762 - t^7.772 + t^7.815 + t^7.868 + 4*t^7.926 + 5*t^7.979 + t^8.022 + 2*t^8.032 + t^8.085 + t^8.143 - 6*t^8.196 - 5*t^8.249 - t^8.303 + t^8.35 + 3*t^8.404 + 2*t^8.413 + 5*t^8.457 + t^8.467 + 2*t^8.51 + t^8.563 + 3*t^8.568 + 2*t^8.621 + 2*t^8.631 - 2*t^8.674 + t^8.781 + 5*t^8.785 + 4*t^8.838 + t^8.848 + t^8.882 + 3*t^8.891 + t^8.935 + 2*t^8.945 + t^8.998 - t^4.554/y - t^6.751/y + t^7.392/y + (3*t^7.446)/y - t^7.663/y + (2*t^7.87)/y + t^7.924/y + (4*t^8.305)/y + (3*t^8.358)/y + (2*t^8.522)/y + t^8.575/y + (2*t^8.73)/y + (5*t^8.783)/y + t^8.836/y + t^8.947/y - t^4.554*y - t^6.751*y + t^7.392*y + 3*t^7.446*y - t^7.663*y + 2*t^7.87*y + t^7.924*y + 4*t^8.305*y + 3*t^8.358*y + 2*t^8.522*y + t^8.575*y + 2*t^8.73*y + 5*t^8.783*y + t^8.836*y + t^8.947*y | (2*g2^7*t^2.196)/g1^5 + (g1^7*t^2.249)/g2^5 + g1^12*g2^12*t^2.674 + (2*t^3.109)/(g1^4*g2^4) + t^3.326/(g1^12*g2^12) + g1*g2^13*t^3.533 + g1^13*g2*t^3.587 + (g2^5*t^3.751)/g1^7 + (g2^22*t^4.175)/g1^2 + g1^10*g2^10*t^4.228 + (g1^22*t^4.282)/g2^2 + (3*g2^14*t^4.392)/g1^10 + 2*g1^2*g2^2*t^4.446 + (g1^14*t^4.499)/g2^10 + 2*g1^7*g2^19*t^4.87 + g1^19*g2^7*t^4.924 + (4*g2^3*t^5.305)/g1^9 + g1^24*g2^24*t^5.348 + (2*g1^3*t^5.358)/g2^9 + t^5.522/(g1^17*g2^5) + (2*g2^20*t^5.73)/g1^4 + 4*g1^8*g2^8*t^5.783 + (g1^20*t^5.836)/g2^4 + (g2^12*t^5.947)/g1^12 - 2*t^6. - (g1^12*t^6.053)/g2^12 + g1^13*g2^25*t^6.207 + t^6.217/(g1^8*g2^8) + g1^25*g2^13*t^6.261 + (2*g2^29*t^6.371)/g1^7 + 2*g1^5*g2^17*t^6.425 + (2*t^6.434)/(g1^16*g2^16) + g1^17*g2^5*t^6.478 + (g1^29*t^6.531)/g2^7 + (4*g2^21*t^6.589)/g1^15 + (3*g2^9*t^6.642)/g1^3 + t^6.652/(g1^24*g2^24) + (2*g1^9*t^6.695)/g2^3 + (g1^21*t^6.748)/g2^15 + g1^10*g2^34*t^6.849 + (g2*t^6.859)/g1^11 + g1^22*g2^22*t^6.903 - (g1*t^6.912)/g2^11 + g1^34*g2^10*t^6.956 + 3*g1^2*g2^26*t^7.067 + 2*g1^14*g2^14*t^7.12 - t^7.13/(g1^7*g2^19) + g1^26*g2^2*t^7.173 + (2*g2^18*t^7.284)/g1^6 + (g1^18*t^7.39)/g2^6 + (6*g2^10*t^7.501)/g1^14 + 2*g1^19*g2^31*t^7.544 + t^7.554/(g1^2*g2^2) + g1^31*g2^19*t^7.598 + (g1^10*t^7.608)/g2^14 + (g2^35*t^7.709)/g1 + (g2^2*t^7.718)/g1^22 + g1^11*g2^23*t^7.762 - t^7.772/(g1^10*g2^10) + g1^23*g2^11*t^7.815 + (g1^35*t^7.868)/g2 + (4*g2^27*t^7.926)/g1^9 + 5*g1^3*g2^15*t^7.979 + g1^36*g2^36*t^8.022 + 2*g1^15*g2^3*t^8.032 + (g1^27*t^8.085)/g2^9 + (g2^19*t^8.143)/g1^17 - (6*g2^7*t^8.196)/g1^5 - (5*g1^7*t^8.249)/g2^5 - (g1^19*t^8.303)/g2^17 + (g2^44*t^8.35)/g1^4 + 3*g1^8*g2^32*t^8.404 + (2*t^8.413)/(g1^13*g2) + 5*g1^20*g2^20*t^8.457 + t^8.467/(g1*g2^13) + 2*g1^32*g2^8*t^8.51 + (g1^44*t^8.563)/g2^4 + (3*g2^36*t^8.568)/g1^12 + 2*g2^24*t^8.621 + (2*t^8.631)/(g1^21*g2^9) - 2*g1^12*g2^12*t^8.674 + (g1^36*t^8.781)/g2^12 + (5*g2^28*t^8.785)/g1^20 + (4*g2^16*t^8.838)/g1^8 + t^8.848/(g1^29*g2^17) + g1^25*g2^37*t^8.882 + 3*g1^4*g2^4*t^8.891 + g1^37*g2^25*t^8.935 + (2*g1^16*t^8.945)/g2^8 + (g1^28*t^8.998)/g2^20 - t^4.554/(g1^2*g2^2*y) - (g2^5*t^6.751)/(g1^7*y) + (g2^14*t^7.392)/(g1^10*y) + (3*g1^2*g2^2*t^7.446)/y - t^7.663/(g1^6*g2^6*y) + (2*g1^7*g2^19*t^7.87)/y + (g1^19*g2^7*t^7.924)/y + (4*g2^3*t^8.305)/(g1^9*y) + (3*g1^3*t^8.358)/(g2^9*y) + (2*t^8.522)/(g1^17*g2^5*y) + t^8.575/(g1^5*g2^17*y) + (2*g2^20*t^8.73)/(g1^4*y) + (5*g1^8*g2^8*t^8.783)/y + (g1^20*t^8.836)/(g2^4*y) + (g2^12*t^8.947)/(g1^12*y) - (t^4.554*y)/(g1^2*g2^2) - (g2^5*t^6.751*y)/g1^7 + (g2^14*t^7.392*y)/g1^10 + 3*g1^2*g2^2*t^7.446*y - (t^7.663*y)/(g1^6*g2^6) + 2*g1^7*g2^19*t^7.87*y + g1^19*g2^7*t^7.924*y + (4*g2^3*t^8.305*y)/g1^9 + (3*g1^3*t^8.358*y)/g2^9 + (2*t^8.522*y)/(g1^17*g2^5) + (t^8.575*y)/(g1^5*g2^17) + (2*g2^20*t^8.73*y)/g1^4 + 5*g1^8*g2^8*t^8.783*y + (g1^20*t^8.836*y)/g2^4 + (g2^12*t^8.947*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 846 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.5509 | 0.7087 | 0.7773 | [M:[1.0508, 0.8475, 0.9492, 1.1525, 0.8475], q:[0.7627, 0.1865], qb:[0.4915, 0.661], phi:[0.4746]] | t^2.034 + 3*t^2.543 + 2*t^2.848 + t^3.457 + t^3.762 + t^3.966 + t^4.067 + t^4.271 + t^4.372 + 2*t^4.576 + 3*t^4.881 + 5*t^5.085 + 7*t^5.39 + t^5.695 + t^5.796 - t^6. - t^4.424/y - t^4.424*y | detail | |
| 848 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6133 | 0.7914 | 0.7749 | [M:[0.9637, 1.1089, 1.0363, 0.8911, 0.7409], q:[0.7409, 0.2954], qb:[0.4455, 0.4455], phi:[0.5182]] | 3*t^2.223 + t^2.673 + 2*t^3.109 + t^3.327 + 2*t^3.559 + t^3.777 + 3*t^4.228 + 6*t^4.446 + 3*t^4.896 + 6*t^5.332 + t^5.346 + t^5.55 + 7*t^5.782 - 2*t^6. - t^4.554/y - t^4.554*y | detail | |
| 847 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.5979 | 0.7809 | 0.7657 | [M:[0.9223, 1.2331, 1.0777, 0.7669, 0.7669], q:[0.7306, 0.3471], qb:[0.3471, 0.4197], phi:[0.5389]] | t^2.083 + 3*t^2.301 + 3*t^3.233 + t^3.451 + 2*t^3.699 + 2*t^3.917 + t^4.135 + t^4.166 + 3*t^4.383 + 6*t^4.601 + 3*t^5.316 + 9*t^5.534 + 3*t^5.752 + t^6. - t^4.617/y - t^4.617*y | detail | |
| 1896 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6103 | 0.7849 | 0.7775 | [M:[0.9748, 1.0757, 1.0252, 0.9243, 0.7689], q:[0.7437, 0.2816], qb:[0.4369, 0.4874], phi:[0.5126]] | t^2.155 + 2*t^2.307 + t^2.773 + 2*t^3.076 + t^3.227 + t^3.542 + t^3.693 + t^3.845 + t^4.159 + 2*t^4.311 + 3*t^4.462 + 3*t^4.614 + t^4.928 + 2*t^5.08 + 2*t^5.231 + 4*t^5.383 + t^5.534 + t^5.546 + t^5.697 + 3*t^5.849 - t^4.538/y - t^4.538*y | detail | |
| 849 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6327 | 0.8272 | 0.7649 | [M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]] | 4*t^2.222 + t^2.667 + 2*t^3.111 + t^3.333 + 2*t^3.556 + 3*t^4.222 + 10*t^4.444 + 4*t^4.889 + 9*t^5.333 + 2*t^5.556 + 9*t^5.778 - 5*t^6. - t^4.556/y - t^4.556*y | detail | {a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27} |
| 1894 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6305 | 0.8225 | 0.7665 | [M:[0.9712, 1.0863, 1.0288, 0.9137, 0.7209, 0.7784], q:[0.7428, 0.286], qb:[0.4788, 0.4349], phi:[0.5144]] | 2*t^2.163 + t^2.294 + t^2.335 + t^2.741 + 2*t^3.086 + t^3.259 + t^3.533 + t^3.706 + t^4.153 + t^4.284 + 3*t^4.325 + t^4.416 + 2*t^4.457 + 2*t^4.498 + t^4.588 + t^4.629 + t^4.67 + 2*t^4.904 + t^5.035 + t^5.076 + 4*t^5.249 + 2*t^5.38 + 3*t^5.422 + t^5.482 + t^5.594 + 2*t^5.696 + 2*t^5.827 + 2*t^5.869 - 2*t^6. - t^4.543/y - t^4.543*y | detail | |
| 1893 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6295 | 0.8188 | 0.7688 | [M:[0.9716, 1.0851, 1.0284, 0.9149, 0.7478, 0.7947], q:[0.7429, 0.2855], qb:[0.4525, 0.4624], phi:[0.5142]] | t^2.214 + 2*t^2.244 + t^2.384 + t^2.745 + 2*t^3.085 + t^3.255 + t^3.586 + t^3.786 + t^4.258 + t^4.287 + t^4.317 + t^4.428 + 2*t^4.457 + 3*t^4.487 + t^4.598 + 2*t^4.628 + t^4.768 + t^4.959 + 2*t^4.988 + t^5.129 + 2*t^5.299 + 4*t^5.329 + 2*t^5.469 + t^5.489 + t^5.499 + t^5.639 + t^5.8 + 3*t^5.83 - 2*t^6. - t^4.543/y - t^4.543*y | detail | |
| 1892 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.6123 | 0.7911 | 0.7741 | [M:[0.9708, 1.0877, 1.0292, 0.9123, 0.7135], q:[0.7427, 0.2865], qb:[0.4854, 0.4269], phi:[0.5146]] | 2*t^2.14 + t^2.316 + t^2.737 + 2*t^3.088 + t^3.263 + t^3.509 + 2*t^3.684 + t^4.105 + 4*t^4.281 + 3*t^4.456 + t^4.632 + 2*t^4.877 + t^5.053 + 4*t^5.228 + 3*t^5.403 + t^5.474 + 2*t^5.649 + 5*t^5.825 - t^6. - t^4.544/y - t^4.544*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 |
|---|---|---|---|---|---|---|---|---|---|
| 343 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.5939 | 0.7557 | 0.7859 | [M:[0.9644, 1.1068, 1.0356, 0.8932], q:[0.7411, 0.2945], qb:[0.4466, 0.4466], phi:[0.5178]] | 2*t^2.223 + t^2.68 + 2*t^3.107 + t^3.32 + 2*t^3.563 + 2*t^3.777 + 3*t^4.233 + 3*t^4.447 + 2*t^4.903 + 4*t^5.33 + t^5.359 + 5*t^5.786 - t^6. - t^4.553/y - t^4.553*y | detail |