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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[0, 8, 0], [0, -2, 2], [0, -4, -4], [1, 4, 0], [-1, 0, -4], [-1, -4, 0]], q:[[-1, -8, 0], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, 1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$ | ${}$ | -3 | 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^6.024 + t^6.233 - t^6.319 + t^6.343 - t^6.367 + t^6.462 + t^6.466 + t^6.67 + t^6.78 + t^6.809 + t^6.829 + t^6.879 + t^6.989 + 2*t^7.037 + t^7.041 + t^7.099 + t^7.108 + t^7.148 + t^7.197 + 2*t^7.246 + t^7.308 + t^7.356 + t^7.405 + t^7.418 + t^7.426 + t^7.455 + t^7.466 + t^7.475 + t^7.565 + 2*t^7.613 + t^7.675 + t^7.684 + t^7.745 + t^7.785 + t^7.794 + t^7.822 + t^7.842 + t^7.98 + t^8.026 + t^8.03 + t^8.064 + t^8.112 + t^8.185 + t^8.189 + t^8.209 + t^8.259 + t^8.345 - 4*t^8.369 + 2*t^8.394 + t^8.397 - t^8.479 + t^8.504 - t^8.578 + 2*t^8.602 + t^8.664 - 4*t^8.688 + 2*t^8.712 - 5*t^8.736 + 2*t^8.761 + t^8.765 - t^8.798 + t^8.811 + t^8.822 + t^8.831 + t^8.835 + t^8.921 - 4*t^8.945 + t^8.969 - t^4.356/y - t^6.725/y - t^7.044/y - t^7.093/y + t^7.62/y + t^7.668/y + t^7.987/y + t^8.057/y + t^8.106/y + t^8.314/y + (2*t^8.424)/y + t^8.633/y + t^8.657/y + t^8.681/y + t^8.743/y + t^8.791/y + t^8.89/y + t^8.976/y - t^4.356*y - t^6.725*y - t^7.044*y - t^7.093*y + t^7.62*y + t^7.668*y + t^7.987*y + t^8.057*y + t^8.106*y + t^8.314*y + 2*t^8.424*y + t^8.633*y + t^8.657*y + t^8.681*y + t^8.743*y + t^8.791*y + t^8.89*y + t^8.976*y | t^2.369/(g1*g3^4) + t^2.688/(g2^4*g3^4) + g2^8*t^2.736 + t^2.945/(g1*g2^4) + g1*g2^4*t^3.055 + (g3^2*t^3.288)/g2^2 + (g3^4*t^3.521)/(g1*g2^8) + (g2^9*t^4.093)/g3 + t^4.301/(g1*g2^3*g3) + (g1*g2^5*t^4.411)/g3 + t^4.51/(g1^2*g2^15*g3) + t^4.62/(g2^7*g3) + g2^5*g3^3*t^4.668 + (g1^2*g2*t^4.73)/g3 + t^4.739/(g1^2*g3^8) + (g3^3*t^4.877)/(g1*g2^7) + g1*g2*g3^3*t^4.987 + t^5.057/(g1*g2^4*g3^8) + (g2^8*t^5.106)/(g1*g3^4) + g2*g3^7*t^5.244 + t^5.314/(g1^2*g2^4*g3^4) + t^5.376/(g2^8*g3^8) + (g2^4*t^5.424)/g3^4 + g2^16*t^5.473 + t^5.657/(g1*g2^2*g3^2) + t^5.89/(g1^2*g2^8) + t^5.976/(g2^6*g3^2) - 3*t^6. + g2^6*g3^2*t^6.024 + (g3^2*t^6.233)/(g1*g2^6) - (g1*t^6.319)/g2^4 + g1*g2^2*g3^2*t^6.343 - g1*g2^8*g3^4*t^6.367 + (g2^9*t^6.462)/(g1*g3^5) + (g3^4*t^6.466)/(g1^2*g2^12) + t^6.67/(g1^2*g2^3*g3^5) + (g2^5*t^6.78)/g3^5 + (g3^6*t^6.809)/(g1*g2^10) + (g2^17*t^6.829)/g3 + t^6.879/(g1^3*g2^15*g3^5) + t^6.989/(g1*g2^7*g3^5) + (2*g2^5*t^7.037)/(g1*g3) + (g3^8*t^7.041)/(g1^2*g2^16) + (g1*g2*t^7.099)/g3^5 + t^7.108/(g1^3*g3^12) + (g1*g2^13*t^7.148)/g3 + t^7.197/(g1^2*g2^19*g3^5) + (2*t^7.246)/(g1^2*g2^7*g3) + t^7.308/(g2^11*g3^5) + (g2*t^7.356)/g3 + g2^13*g3^3*t^7.405 + (g1^2*t^7.418)/(g2^3*g3^5) + t^7.426/(g1^2*g2^4*g3^12) + t^7.455/(g1^3*g2^19*g3) + (g1^2*g2^9*t^7.466)/g3 + (g2^8*t^7.475)/(g1^2*g3^8) + t^7.565/(g1*g2^11*g3) + (2*g2*g3^3*t^7.613)/g1 + (g1*t^7.675)/(g2^3*g3) + t^7.684/(g1^3*g2^4*g3^8) + t^7.745/(g1*g2^8*g3^12) + (g1^3*g2^5*t^7.785)/g3 + (g2^4*t^7.794)/(g1*g3^8) + (g3^3*t^7.822)/(g1^2*g2^11) + (g2^16*t^7.842)/(g1*g3^4) + g2^9*g3^7*t^7.98 + t^8.026/(g1^2*g2^2*g3^6) + (g3^3*t^8.03)/(g1^3*g2^23) + t^8.064/(g2^12*g3^12) + t^8.112/g3^8 + (g2^18*t^8.185)/g3^2 + (g3^7*t^8.189)/(g1*g2^3) + g2^24*t^8.209 + t^8.259/(g1^3*g2^8*g3^4) + t^8.345/(g1*g2^6*g3^6) - (4*t^8.369)/(g1*g3^4) + (2*g2^6*t^8.394)/(g1*g3^2) + (g3^7*t^8.397)/(g1^2*g2^15) - (g1*g2^8*t^8.479)/g3^4 + (g1*g2^14*t^8.504)/g3^2 - t^8.578/(g1^2*g2^12*g3^4) + (2*t^8.602)/(g1^2*g2^6*g3^2) + t^8.664/(g2^10*g3^6) - (4*t^8.688)/(g2^4*g3^4) + (2*g2^2*t^8.712)/g3^2 - 5*g2^8*t^8.736 + 2*g2^14*g3^2*t^8.761 + (g3^11*t^8.765)/(g1*g2^7) - (g1^2*g2^4*t^8.798)/g3^4 + t^8.811/(g1^3*g2^18*g3^2) + (g1^2*g2^10*t^8.822)/g3^2 + (g2^9*t^8.831)/(g1^2*g3^9) + t^8.835/(g1^3*g2^12) + t^8.921/(g1*g2^10*g3^2) - (4*t^8.945)/(g1*g2^4) + (g2^2*g3^2*t^8.969)/g1 - (g2*t^4.356)/(g3*y) - (g2*t^6.725)/(g1*g3^5*y) - t^7.044/(g2^3*g3^5*y) - (g2^9*t^7.093)/(g3*y) + t^7.62/(g2^7*g3*y) + (g2^5*g3^3*t^7.668)/y + (g1*g2*g3^3*t^7.987)/y + t^8.057/(g1*g2^4*g3^8*y) + (g2^8*t^8.106)/(g1*g3^4*y) + t^8.314/(g1^2*g2^4*g3^4*y) + (2*g2^4*t^8.424)/(g3^4*y) + t^8.633/(g1*g2^8*g3^4*y) + t^8.657/(g1*g2^2*g3^2*y) + (g2^4*t^8.681)/(g1*y) + (g1*t^8.743)/(g3^4*y) + (g1*g2^12*t^8.791)/y + t^8.89/(g1^2*g2^8*y) + t^8.976/(g2^6*g3^2*y) - (g2*t^4.356*y)/g3 - (g2*t^6.725*y)/(g1*g3^5) - (t^7.044*y)/(g2^3*g3^5) - (g2^9*t^7.093*y)/g3 + (t^7.62*y)/(g2^7*g3) + g2^5*g3^3*t^7.668*y + g1*g2*g3^3*t^7.987*y + (t^8.057*y)/(g1*g2^4*g3^8) + (g2^8*t^8.106*y)/(g1*g3^4) + (t^8.314*y)/(g1^2*g2^4*g3^4) + (2*g2^4*t^8.424*y)/g3^4 + (t^8.633*y)/(g1*g2^8*g3^4) + (t^8.657*y)/(g1*g2^2*g3^2) + (g2^4*t^8.681*y)/g1 + (g1*t^8.743*y)/g3^4 + g1*g2^12*t^8.791*y + (t^8.89*y)/(g1^2*g2^8) + (t^8.976*y)/(g2^6*g3^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 837 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ | 0.6995 | 0.856 | 0.8172 | [M:[1.0482, 1.0302, 0.8913, 0.9877, 0.9518, 1.0123], q:[0.4881, 0.4636], qb:[0.5241, 0.5846], phi:[0.4849]] | t^2.674 + t^2.855 + t^2.963 + t^3.037 + t^3.091 + t^3.145 + t^3.218 + t^4.236 + t^4.31 + t^4.383 + t^4.418 + t^4.491 + 2*t^4.599 + t^4.673 + t^4.781 + t^4.962 + t^5.348 + t^5.529 + t^5.711 + t^5.765 + t^5.892 + t^5.946 - 2*t^6. - t^4.455/y - t^4.455*y | detail | |
| 834 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ | 0.7146 | 0.8745 | 0.8171 | [M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.479 + t^2.54 + t^2.939 + t^3. + t^3.061 + t^3.23 + t^3.399 + t^4.264 + t^4.324 + 2*t^4.385 + t^4.446 + t^4.506 + t^4.784 + t^4.845 + t^4.906 + t^4.958 + t^5.019 + t^5.08 + t^5.305 + t^5.418 + t^5.479 + t^5.54 + t^5.709 + t^5.77 + t^5.879 - 2*t^6. - t^4.385/y - t^4.385*y | detail | |
| 836 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ | 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]] | 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^4.456/y - t^4.456*y | detail | |
| 833 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ | 0.7134 | 0.8733 | 0.8168 | [M:[0.86, 1.07, 1.0, 1.0244, 0.8356, 0.9756], q:[0.5455, 0.5944], qb:[0.43, 0.57], phi:[0.465]] | t^2.507 + t^2.58 + t^2.927 + t^3. + t^3.073 + t^3.21 + t^3.347 + t^3.975 + t^4.322 + t^4.395 + t^4.468 + t^4.668 + t^4.742 + 2*t^4.815 + t^4.888 + t^4.962 + t^5.014 + t^5.087 + t^5.16 + t^5.433 + t^5.507 + t^5.58 + t^5.717 + t^5.79 + t^5.853 - 2*t^6. - t^4.395/y - t^4.395*y | detail | |
| 835 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ | 0.6954 | 0.8497 | 0.8184 | [M:[0.978, 1.0207, 0.9805, 0.9586, 1.0, 1.0414], q:[0.5524, 0.4696], qb:[0.489, 0.5304], phi:[0.4896]] | t^2.876 + t^2.934 + t^2.942 + t^3. + t^3.062 + t^3.124 + t^3.249 + t^4.286 + t^4.345 + t^4.403 + t^4.469 + t^4.527 + t^4.535 + t^4.593 + t^4.652 + t^4.718 + t^4.783 + t^5.868 + t^5.876 + t^5.883 + t^5.938 + t^5.996 - 2*t^6. - t^4.469/y - t^4.469*y | detail | |
| 838 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.737 | 0.9112 | 0.8089 | [M:[0.8973, 1.1144, 0.8739, 1.0, 0.7712, 1.0, 0.7712], q:[0.5513, 0.5513], qb:[0.4487, 0.6775], phi:[0.4428]] | 2*t^2.314 + t^2.622 + t^2.692 + 2*t^3. + t^3.343 + t^4.02 + 2*t^4.328 + 3*t^4.627 + 3*t^4.636 + t^4.707 + 2*t^4.935 + 2*t^5.006 + 2*t^5.015 + t^5.243 + 4*t^5.314 + t^5.384 + t^5.393 + 2*t^5.657 + t^5.965 - 3*t^6. - t^4.328/y - t^4.328*y | detail | |
| 1883 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.639 | 0.7933 | 0.8056 | [M:[0.7924, 1.2338, 0.7399, 0.8507, 0.6817, 1.1493], q:[0.7531, 0.4545], qb:[0.3962, 0.8638], phi:[0.3831]] | t^2.045 + t^2.22 + t^2.377 + t^2.552 + t^3.448 + t^3.527 + 2*t^3.701 + t^3.876 + t^4.09 + t^4.265 + t^4.422 + t^4.44 + 2*t^4.597 + t^4.755 + t^4.772 + t^4.851 + t^4.929 + t^5.104 + t^5.493 + t^5.572 + t^5.668 + 2*t^5.746 + t^5.904 + 2*t^5.921 - 2*t^6. - t^4.149/y - t^4.149*y | detail | |
| 1884 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.6183 | 0.7529 | 0.8212 | [X:[1.6154], M:[0.7932, 1.2309, 0.745, 1.1537, 0.3846, 0.8463], q:[0.4497, 0.757], qb:[0.3966, 0.8584], phi:[0.3846]] | t^2.235 + t^2.38 + t^2.539 + t^3.461 + t^3.533 + 2*t^3.693 + t^3.852 + t^3.924 + t^4.47 + t^4.615 + t^4.759 + t^4.774 + t^4.846 + t^4.919 + t^5.078 + t^5.696 + t^5.913 + t^5.928 - 2*t^6. - t^4.154/y - t^4.154*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 |
|---|---|---|---|---|---|---|---|---|---|
| 339 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7729 | 0.9519 | 0.812 | [M:[0.7777, 1.2223, 0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]] | t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*y | detail |