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 |
|---|---|---|---|---|---|---|---|---|---|
| 55354 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6918 | 0.8766 | 0.7892 | [M:[1.1677, 1.0397, 0.8323, 0.7938, 1.0833, 0.7479, 0.6708], q:[0.3969, 0.4354], qb:[0.5634, 0.7708], phi:[0.4584]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [0, 4], [-2, 18], [4, -28]], 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 |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.012 + t^2.244 + t^2.381 + t^2.497 + t^2.996 + t^3.119 + t^3.25 + t^3.503 + t^3.872 + t^4.003 + t^4.025 + 2*t^4.256 + t^4.372 + t^4.394 + t^4.487 + t^4.509 + t^4.625 + t^4.741 + t^4.755 + t^4.763 + t^4.878 + t^4.994 + t^5.009 + t^5.131 + t^5.24 + t^5.262 + t^5.363 + t^5.378 + 2*t^5.493 + t^5.515 + t^5.631 + 2*t^5.747 + t^5.884 + t^5.993 - 2*t^6. + t^6.015 + t^6.037 + t^6.116 + t^6.238 + 2*t^6.246 + 2*t^6.268 + t^6.369 + t^6.384 + t^6.406 + 3*t^6.5 + t^6.521 + t^6.615 + 2*t^6.637 + t^6.731 + 2*t^6.753 + t^6.768 + t^6.775 + 2*t^6.869 - t^6.876 + t^6.89 + t^6.984 + 2*t^6.999 + t^7.006 + t^7.021 + t^7.122 + t^7.137 + 2*t^7.144 + 3*t^7.252 + t^7.274 + t^7.368 + t^7.375 + t^7.39 + t^7.484 + 3*t^7.506 + t^7.528 + t^7.606 + t^7.621 + t^7.643 + 2*t^7.737 + t^7.752 + 2*t^7.759 + 2*t^7.875 + t^7.897 + 2*t^7.99 - t^7.997 + 2*t^8.005 - t^8.012 + t^8.027 + t^8.049 + t^8.128 + t^8.237 - 2*t^8.244 + t^8.251 + 3*t^8.259 + 2*t^8.28 + t^8.359 + t^8.374 - 2*t^8.381 + t^8.396 + t^8.418 + t^8.482 + 3*t^8.49 - 3*t^8.497 + 3*t^8.512 + t^8.534 + t^8.62 + 2*t^8.627 + 2*t^8.649 + 4*t^8.743 - t^8.75 + t^8.758 + 2*t^8.765 + t^8.78 + t^8.787 + t^8.859 + 2*t^8.881 - t^8.888 + t^8.903 + t^8.975 + t^8.989 - t^4.375/y - t^6.387/y - t^6.619/y - t^6.756/y + (2*t^7.256)/y + t^7.394/y - t^7.494/y + t^7.509/y + t^7.625/y + t^7.741/y + t^7.878/y + t^7.994/y + t^8.009/y + (2*t^8.131)/y + t^8.24/y + t^8.262/y + (2*t^8.363)/y + t^8.378/y - t^8.4/y + (2*t^8.493)/y + t^8.5/y + t^8.515/y + t^8.616/y + (2*t^8.747)/y - t^8.769/y - t^8.862/y + (2*t^8.884)/y - t^4.375*y - t^6.387*y - t^6.619*y - t^6.756*y + 2*t^7.256*y + t^7.394*y - t^7.494*y + t^7.509*y + t^7.625*y + t^7.741*y + t^7.878*y + t^7.994*y + t^8.009*y + 2*t^8.131*y + t^8.24*y + t^8.262*y + 2*t^8.363*y + t^8.378*y - t^8.4*y + 2*t^8.493*y + t^8.5*y + t^8.515*y + t^8.616*y + 2*t^8.747*y - t^8.769*y - t^8.862*y + 2*t^8.884*y | (g1^4*t^2.012)/g2^28 + (g2^18*t^2.244)/g1^2 + (g1^2*t^2.381)/g2^16 + (g2^7*t^2.497)/g1 + (g2^15*t^2.996)/g1 + (g2^8*t^3.119)/g1^2 + g2^4*t^3.25 + (g1*t^3.503)/g2^7 + (g2^5*t^3.872)/g1 + g1*g2*t^4.003 + (g1^8*t^4.025)/g2^56 + (2*g1^2*t^4.256)/g2^10 + (g2^13*t^4.372)/g1 + (g1^6*t^4.394)/g2^44 + (g2^36*t^4.487)/g1^4 + (g1^3*t^4.509)/g2^21 + g2^2*t^4.625 + (g2^25*t^4.741)/g1^3 + (g1^2*t^4.755)/g2^2 + (g1^4*t^4.763)/g2^32 + (g1*t^4.878)/g2^9 + (g2^14*t^4.994)/g1^2 + (g1^3*t^5.009)/g2^13 + (g1^2*t^5.131)/g2^20 + (g2^33*t^5.24)/g1^3 + (g1^4*t^5.262)/g2^24 + (g2^26*t^5.363)/g1^4 + (g1*t^5.378)/g2 + (2*g2^22*t^5.493)/g1^2 + (g1^5*t^5.515)/g2^35 + (g1^2*t^5.631)/g2^12 + (2*g2^11*t^5.747)/g1 + (g1^3*t^5.884)/g2^23 + (g2^30*t^5.993)/g1^2 - 2*t^6. + (g1^5*t^6.015)/g2^27 + (g1^12*t^6.037)/g2^84 + (g2^23*t^6.116)/g1^3 + (g2^16*t^6.238)/g1^4 + (2*g2^19*t^6.246)/g1 + (2*g1^6*t^6.268)/g2^38 + (g2^12*t^6.369)/g1^2 + (g1^3*t^6.384)/g2^15 + (g1^10*t^6.406)/g2^72 + 3*g2^8*t^6.5 + (g1^7*t^6.521)/g2^49 + (g2^31*t^6.615)/g1^3 + (2*g1^4*t^6.637)/g2^26 + (g2^54*t^6.731)/g1^6 + (2*g1*t^6.753)/g2^3 + (g1^6*t^6.768)/g2^30 + (g1^8*t^6.775)/g2^60 + (2*g2^20*t^6.869)/g1^2 - t^6.876/g2^10 + (g1^5*t^6.89)/g2^37 + (g2^43*t^6.984)/g1^5 + 2*g2^16*t^6.999 + (g1^2*t^7.006)/g2^14 + (g1^7*t^7.021)/g2^41 + (g2^9*t^7.122)/g1 + (g1^4*t^7.137)/g2^18 + (2*g1^6*t^7.144)/g2^48 + 3*g1*g2^5*t^7.252 + (g1^8*t^7.274)/g2^52 + (g2^28*t^7.368)/g1^2 + t^7.375/g2^2 + (g1^5*t^7.39)/g2^29 + (g2^51*t^7.484)/g1^5 + (3*g1^2*t^7.506)/g2^6 + (g1^9*t^7.528)/g2^63 + (g2^44*t^7.606)/g1^6 + (g2^17*t^7.621)/g1 + (g1^6*t^7.643)/g2^40 + (2*g2^40*t^7.737)/g1^4 + g1*g2^13*t^7.752 + (2*g1^3*t^7.759)/g2^17 + 2*g2^6*t^7.875 + (g1^7*t^7.897)/g2^51 + (2*g2^29*t^7.99)/g1^3 - t^7.997/(g1*g2) + 2*g1^2*g2^2*t^8.005 - (g1^4*t^8.012)/g2^28 + (g1^9*t^8.027)/g2^55 + (g1^16*t^8.049)/g2^112 + (g1*t^8.128)/g2^5 + (g2^48*t^8.237)/g1^4 - (2*g2^18*t^8.244)/g1^2 + t^8.251/g2^12 + (3*g1^3*t^8.259)/g2^9 + (2*g1^10*t^8.28)/g2^66 + (g2^41*t^8.359)/g1^5 + g2^14*t^8.374 - (2*g1^2*t^8.381)/g2^16 + (g1^7*t^8.396)/g2^43 + (g1^14*t^8.418)/g2^100 + (g2^34*t^8.482)/g1^6 + (3*g2^37*t^8.49)/g1^3 - (3*g2^7*t^8.497)/g1 + (3*g1^4*t^8.512)/g2^20 + (g1^11*t^8.534)/g2^77 + t^8.62/g1^2 + 2*g1*g2^3*t^8.627 + (2*g1^8*t^8.649)/g2^54 + (4*g2^26*t^8.743)/g1^2 - t^8.75/g2^4 + (g1^3*t^8.758)/g2 + (2*g1^5*t^8.765)/g2^31 + (g1^10*t^8.78)/g2^58 + (g1^12*t^8.787)/g2^88 + (g2^49*t^8.859)/g1^5 + (2*g1^2*t^8.881)/g2^8 - (g1^4*t^8.888)/g2^38 + (g1^9*t^8.903)/g2^65 + (g2^72*t^8.975)/g1^8 + (g2^45*t^8.989)/g1^3 - t^4.375/(g2^2*y) - (g1^4*t^6.387)/(g2^30*y) - (g2^16*t^6.619)/(g1^2*y) - (g1^2*t^6.756)/(g2^18*y) + (2*g1^2*t^7.256)/(g2^10*y) + (g1^6*t^7.394)/(g2^44*y) - (g2^6*t^7.494)/(g1^2*y) + (g1^3*t^7.509)/(g2^21*y) + (g2^2*t^7.625)/y + (g2^25*t^7.741)/(g1^3*y) + (g1*t^7.878)/(g2^9*y) + (g2^14*t^7.994)/(g1^2*y) + (g1^3*t^8.009)/(g2^13*y) + (2*g1^2*t^8.131)/(g2^20*y) + (g2^33*t^8.24)/(g1^3*y) + (g1^4*t^8.262)/(g2^24*y) + (2*g2^26*t^8.363)/(g1^4*y) + (g1*t^8.378)/(g2*y) - (g1^8*t^8.4)/(g2^58*y) + (2*g2^22*t^8.493)/(g1^2*y) + t^8.5/(g2^8*y) + (g1^5*t^8.515)/(g2^35*y) + (g2^15*t^8.616)/(g1^3*y) + (2*g2^11*t^8.747)/(g1*y) - (g1^6*t^8.769)/(g2^46*y) - (g2^34*t^8.862)/(g1^4*y) + (2*g1^3*t^8.884)/(g2^23*y) - (t^4.375*y)/g2^2 - (g1^4*t^6.387*y)/g2^30 - (g2^16*t^6.619*y)/g1^2 - (g1^2*t^6.756*y)/g2^18 + (2*g1^2*t^7.256*y)/g2^10 + (g1^6*t^7.394*y)/g2^44 - (g2^6*t^7.494*y)/g1^2 + (g1^3*t^7.509*y)/g2^21 + g2^2*t^7.625*y + (g2^25*t^7.741*y)/g1^3 + (g1*t^7.878*y)/g2^9 + (g2^14*t^7.994*y)/g1^2 + (g1^3*t^8.009*y)/g2^13 + (2*g1^2*t^8.131*y)/g2^20 + (g2^33*t^8.24*y)/g1^3 + (g1^4*t^8.262*y)/g2^24 + (2*g2^26*t^8.363*y)/g1^4 + (g1*t^8.378*y)/g2 - (g1^8*t^8.4*y)/g2^58 + (2*g2^22*t^8.493*y)/g1^2 + (t^8.5*y)/g2^8 + (g1^5*t^8.515*y)/g2^35 + (g2^15*t^8.616*y)/g1^3 + (2*g2^11*t^8.747*y)/g1 - (g1^6*t^8.769*y)/g2^46 - (g2^34*t^8.862*y)/g1^4 + (2*g1^3*t^8.884*y)/g2^23 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56980 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6803 | 0.8608 | 0.7903 | [M:[1.2, 0.9725, 0.8, 0.8575, 1.085, 0.685, 0.8], q:[0.4287, 0.3713], qb:[0.5988, 0.7713], phi:[0.4575]] | t^2.055 + 2*t^2.4 + t^2.572 + t^2.91 + t^2.917 + t^3.255 + t^3.6 + t^3.772 + 2*t^4.11 + t^4.283 + 3*t^4.455 + t^4.628 + 3*t^4.8 + 2*t^4.965 + 3*t^4.972 + t^5.145 + 3*t^5.31 + t^5.317 + t^5.483 + 3*t^5.655 + t^5.82 + 2*t^5.828 + t^5.835 - t^6. - t^4.372/y - t^4.372*y | detail | |
| 56981 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ | 0.7063 | 0.9014 | 0.7836 | [M:[1.1707, 1.0334, 0.8293, 0.7998, 1.0834, 0.7419, 0.6829, 0.8293], q:[0.3999, 0.4294], qb:[0.5667, 0.7709], phi:[0.4583]] | t^2.049 + t^2.226 + t^2.399 + 2*t^2.488 + t^2.988 + t^3.1 + t^3.25 + t^3.863 + t^4.013 + t^4.098 + 2*t^4.275 + t^4.363 + t^4.448 + t^4.452 + 2*t^4.537 + t^4.625 + 2*t^4.714 + t^4.775 + t^4.799 + 2*t^4.887 + 3*t^4.976 + t^5.037 + t^5.149 + t^5.214 + t^5.299 + t^5.326 + t^5.388 + 3*t^5.476 + t^5.588 + t^5.65 + 2*t^5.738 + t^5.976 - 3*t^6. - t^4.375/y - t^4.375*y | detail | |
| 56975 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{6}X_{1}$ | 0.5942 | 0.7444 | 0.7983 | [X:[1.4559], M:[1.2544, 0.9117, 0.7456, 0.9823, 1.053, 0.5441, 1.0177], q:[0.4912, 0.2544], qb:[0.5971, 0.7632], phi:[0.4735]] | t^2.237 + t^2.554 + t^2.735 + t^2.947 + t^3.053 + t^3.159 + t^3.657 + t^3.763 + t^3.975 + t^4.081 + t^4.368 + t^4.474 + t^4.685 + t^4.791 + t^5.003 + t^5.109 + t^5.184 + t^5.29 + t^5.396 + t^5.47 + t^5.502 + t^5.607 + t^5.713 + t^5.788 + 2*t^5.894 - t^6. - t^4.421/y - t^4.421*y | detail | |
| 56978 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.647 | 0.8101 | 0.7986 | [M:[1.2057, 0.8014, 0.7943, 0.8157, 1.1914, 0.78, 0.8229], q:[0.4079, 0.3864], qb:[0.7907, 0.7979], phi:[0.4043]] | t^2.34 + t^2.383 + t^2.404 + t^2.447 + t^2.469 + t^3.531 + t^3.574 + t^3.596 + t^3.617 + t^4.68 + t^4.723 + 2*t^4.744 + 2*t^4.766 + t^4.787 + 3*t^4.809 + t^4.83 + t^4.852 + t^4.873 + t^4.894 + t^4.916 + t^4.937 + t^5.871 + 2*t^5.914 + t^5.936 + 3*t^5.957 + 2*t^5.979 - t^6. - t^4.213/y - t^4.213*y | detail | |
| 56974 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ | 0.6027 | 0.7515 | 0.8019 | [X:[1.4215], M:[1.25, 0.8822, 0.75, 0.9607, 1.0785, 0.5785, 1.0], q:[0.4804, 0.2696], qb:[0.6374, 0.7696], phi:[0.4607]] | t^2.25 + t^2.647 + t^2.721 + t^2.882 + t^3. + t^3.236 + t^3.632 + t^3.75 + t^4.103 + t^4.221 + t^4.264 + t^4.5 + t^4.736 + t^4.971 + t^5.132 + t^5.207 + t^5.25 + t^5.293 + t^5.442 + t^5.486 + t^5.603 + t^5.647 + t^5.721 + t^5.764 + 2*t^5.882 + t^5.957 - t^6. - t^4.382/y - t^4.382*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47003 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.671 | 0.8353 | 0.8033 | [M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. - t^4.375/y - t^4.375*y | detail |