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 |
|---|---|---|---|---|---|---|---|---|---|
| 2647 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6995 | 0.8854 | 0.79 | [M:[1.022, 0.7855, 0.9743, 0.8332, 1.1668, 0.7149, 0.7627, 1.0257], q:[0.5853, 0.3927], qb:[0.4405, 0.7741], phi:[0.4519]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [2, 6], [1, 15]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{8}\phi_{1}^{2}$ | ${}$ | -2 | t^2.145 + t^2.288 + t^2.356 + t^2.5 + t^2.711 + t^3.066 + t^3.077 + t^3.5 + t^3.998 + t^4.078 + 2*t^4.29 + 2*t^4.433 + t^4.501 + t^4.576 + 2*t^4.644 + t^4.713 + t^4.788 + 2*t^4.856 + t^4.867 + 2*t^4.999 + t^5.068 + 2*t^5.211 + t^5.222 + t^5.354 + t^5.365 + t^5.422 + t^5.434 + t^5.577 + t^5.645 + t^5.777 + 2*t^5.788 - 2*t^6. + t^6.132 + t^6.143 + t^6.154 + t^6.223 + t^6.286 + t^6.366 + 2*t^6.434 + t^6.498 + 3*t^6.578 + 2*t^6.646 + t^6.71 + 2*t^6.721 - t^6.778 + 3*t^6.789 + t^6.858 + t^6.864 - t^6.921 + 2*t^6.932 + 3*t^7.001 + t^7.012 + t^7.064 + t^7.069 + 2*t^7.076 + 3*t^7.144 + 2*t^7.155 + t^7.212 + t^7.224 + t^7.287 + 2*t^7.356 + 2*t^7.367 + t^7.424 + 3*t^7.499 + 2*t^7.51 + 2*t^7.567 + 2*t^7.578 + t^7.642 + t^7.653 + t^7.71 + t^7.722 + t^7.779 + t^7.79 + t^7.865 + t^7.922 + 2*t^7.933 + t^7.944 + t^7.997 + t^8.065 + 3*t^8.076 + t^8.134 - 3*t^8.145 + t^8.277 - t^8.288 + t^8.299 - 3*t^8.356 + 2*t^8.368 + t^8.42 + 2*t^8.431 + t^8.442 + 2*t^8.488 - 2*t^8.5 + 2*t^8.511 - t^8.568 + t^8.574 + 2*t^8.579 + 2*t^8.654 - 3*t^8.711 + 2*t^8.722 + t^8.786 + 2*t^8.791 + t^8.843 + t^8.854 + 5*t^8.866 - 2*t^8.923 + 2*t^8.934 + t^8.945 + 2*t^8.998 - t^4.356/y - t^6.5/y - t^6.644/y - t^6.712/y - t^7.067/y + t^7.29/y - t^7.422/y + t^7.433/y + t^7.501/y + (3*t^7.644)/y + t^7.788/y + (2*t^7.856)/y + (2*t^7.999)/y + (2*t^8.068)/y + (3*t^8.211)/y + t^8.222/y + t^8.354/y + t^8.365/y + t^8.422/y + t^8.434/y + t^8.566/y + t^8.577/y + t^8.777/y + t^8.788/y - t^8.932/y - t^4.356*y - t^6.5*y - t^6.644*y - t^6.712*y - t^7.067*y + t^7.29*y - t^7.422*y + t^7.433*y + t^7.501*y + 3*t^7.644*y + t^7.788*y + 2*t^7.856*y + 2*t^7.999*y + 2*t^8.068*y + 3*t^8.211*y + t^8.222*y + t^8.354*y + t^8.365*y + t^8.422*y + t^8.434*y + t^8.566*y + t^8.577*y + t^8.777*y + t^8.788*y - t^8.932*y | (g2^5*t^2.145)/g1 + g1^2*g2^6*t^2.288 + t^2.356/(g1^2*g2^2) + (g1*t^2.5)/g2 + t^2.711/g2^8 + (g1^2*t^3.066)/g2^14 + g1*g2^15*t^3.077 + (g2*t^3.5)/g1 + (g1^4*t^3.998)/g2^4 + (g2^17*t^4.078)/g1 + (2*g2^10*t^4.29)/g1^2 + 2*g1*g2^11*t^4.433 + (g2^3*t^4.501)/g1^3 + g1^4*g2^12*t^4.576 + 2*g2^4*t^4.644 + t^4.713/(g1^4*g2^4) + g1^3*g2^5*t^4.788 + (2*t^4.856)/(g1*g2^3) + (g2^26*t^4.867)/g1^2 + (2*g1^2*t^4.999)/g2^2 + t^5.068/(g1^2*g2^10) + (2*g1*t^5.211)/g2^9 + g2^20*t^5.222 + (g1^4*t^5.354)/g2^8 + g1^3*g2^21*t^5.365 + t^5.422/g2^16 + (g2^13*t^5.434)/g1 + g1^2*g2^14*t^5.577 + (g2^6*t^5.645)/g1^2 + (g1^2*t^5.777)/g2^22 + 2*g1*g2^7*t^5.788 - 2*t^6. + (g1^4*t^6.132)/g2^28 + g1^3*g2*t^6.143 + g1^2*g2^30*t^6.154 + (g2^22*t^6.223)/g1^2 + g1^6*g2^2*t^6.286 + g1*g2^23*t^6.366 + (2*g2^15*t^6.434)/g1^3 + (g1^5*t^6.498)/g2^5 + 3*g2^16*t^6.578 + (2*g2^8*t^6.646)/g1^4 + (g1^4*t^6.71)/g2^12 + 2*g1^3*g2^17*t^6.721 - t^6.778/g2^20 + (3*g2^9*t^6.789)/g1 + (g2*t^6.858)/g1^5 + g1^6*g2^18*t^6.864 - (g1^3*t^6.921)/g2^19 + 2*g1^2*g2^10*t^6.932 + (3*g2^2*t^7.001)/g1^2 + (g2^31*t^7.012)/g1^3 + (g1^6*t^7.064)/g2^18 + t^7.069/(g1^6*g2^6) + 2*g1^5*g2^11*t^7.076 + 3*g1*g2^3*t^7.144 + 2*g2^32*t^7.155 + t^7.212/(g1^3*g2^5) + (g2^24*t^7.224)/g1^4 + g1^4*g2^4*t^7.287 + (2*t^7.356)/g2^4 + (2*g2^25*t^7.367)/g1 + t^7.424/(g1^4*g2^12) + (3*g1^3*t^7.499)/g2^3 + 2*g1^2*g2^26*t^7.51 + (2*t^7.567)/(g1*g2^11) + (2*g2^18*t^7.578)/g1^2 + (g1^6*t^7.642)/g2^2 + g1^5*g2^27*t^7.653 + (g1^2*t^7.71)/g2^10 + g1*g2^19*t^7.722 + t^7.779/(g1^2*g2^18) + (g2^11*t^7.79)/g1^3 + g1^4*g2^20*t^7.865 + (g1*t^7.922)/g2^17 + 2*g2^12*t^7.933 + (g2^41*t^7.944)/g1 + (g1^8*t^7.997)/g2^8 + (g1^4*t^8.065)/g2^16 + 3*g1^3*g2^13*t^8.076 + t^8.134/g2^24 - (3*g2^5*t^8.145)/g1 + (g1^3*t^8.277)/g2^23 - g1^2*g2^6*t^8.288 + g1*g2^35*t^8.299 - (3*t^8.356)/(g1^2*g2^2) + (2*g2^27*t^8.368)/g1^3 + (g1^6*t^8.42)/g2^22 + 2*g1^5*g2^7*t^8.431 + g1^4*g2^36*t^8.442 + (2*g1^2*t^8.488)/g2^30 - (2*g1*t^8.5)/g2 + 2*g2^28*t^8.511 - t^8.568/(g1^3*g2^9) + g1^8*g2^8*t^8.574 + (2*g2^20*t^8.579)/g1^4 + 2*g1^3*g2^29*t^8.654 - (3*t^8.711)/g2^8 + (2*g2^21*t^8.722)/g1 + g1^7*g2*t^8.786 + (2*g2^13*t^8.791)/g1^5 + (g1^4*t^8.843)/g2^36 + (g1^3*t^8.854)/g2^7 + 5*g1^2*g2^22*t^8.866 - (2*t^8.923)/(g1*g2^15) + (2*g2^14*t^8.934)/g1^2 + (g2^43*t^8.945)/g1^3 + (2*g1^6*t^8.998)/g2^6 - t^4.356/(g2^4*y) - (g2*t^6.5)/(g1*y) - (g1^2*g2^2*t^6.644)/y - t^6.712/(g1^2*g2^6*y) - t^7.067/(g2^12*y) + (g2^10*t^7.29)/(g1^2*y) - (g1^2*t^7.422)/(g2^18*y) + (g1*g2^11*t^7.433)/y + (g2^3*t^7.501)/(g1^3*y) + (3*g2^4*t^7.644)/y + (g1^3*g2^5*t^7.788)/y + (2*t^7.856)/(g1*g2^3*y) + (2*g1^2*t^7.999)/(g2^2*y) + (2*t^8.068)/(g1^2*g2^10*y) + (3*g1*t^8.211)/(g2^9*y) + (g2^20*t^8.222)/y + (g1^4*t^8.354)/(g2^8*y) + (g1^3*g2^21*t^8.365)/y + t^8.422/(g2^16*y) + (g2^13*t^8.434)/(g1*y) + (g1^3*t^8.566)/(g2^15*y) + (g1^2*g2^14*t^8.577)/y + (g1^2*t^8.777)/(g2^22*y) + (g1*g2^7*t^8.788)/y - (g1^4*g2^8*t^8.932)/y - (t^4.356*y)/g2^4 - (g2*t^6.5*y)/g1 - g1^2*g2^2*t^6.644*y - (t^6.712*y)/(g1^2*g2^6) - (t^7.067*y)/g2^12 + (g2^10*t^7.29*y)/g1^2 - (g1^2*t^7.422*y)/g2^18 + g1*g2^11*t^7.433*y + (g2^3*t^7.501*y)/g1^3 + 3*g2^4*t^7.644*y + g1^3*g2^5*t^7.788*y + (2*t^7.856*y)/(g1*g2^3) + (2*g1^2*t^7.999*y)/g2^2 + (2*t^8.068*y)/(g1^2*g2^10) + (3*g1*t^8.211*y)/g2^9 + g2^20*t^8.222*y + (g1^4*t^8.354*y)/g2^8 + g1^3*g2^21*t^8.365*y + (t^8.422*y)/g2^16 + (g2^13*t^8.434*y)/g1 + (g1^3*t^8.566*y)/g2^15 + g1^2*g2^14*t^8.577*y + (g1^2*t^8.777*y)/g2^22 + g1*g2^7*t^8.788*y - g1^4*g2^8*t^8.932*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 |
|---|---|---|---|---|---|---|---|---|
| 4802 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ | 0.6593 | 0.8223 | 0.8018 | [X:[1.3446], M:[1.1485, 0.6891, 0.9525, 0.8851, 1.1149, 0.6554, 0.8515, 1.0475], q:[0.5069, 0.3446], qb:[0.5406, 0.7703], phi:[0.4594]] | t^2.067 + t^2.554 + t^2.655 + t^2.756 + t^3.143 + t^3.345 + t^3.446 + t^3.832 + t^3.933 + t^4.034 + t^4.135 + t^4.42 + t^4.521 + 2*t^4.622 + t^4.723 + t^4.824 + t^5.109 + 2*t^5.21 + 2*t^5.311 + t^5.412 + t^5.513 + t^5.697 + t^5.798 + 2*t^5.899 - t^4.378/y - t^4.378*y | detail | |
| 4792 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}^{2}$ + ${ }M_{7}X_{1}$ | 0.6087 | 0.7781 | 0.7823 | [X:[1.4843], M:[0.9373, 1.0, 1.1952, 0.7422, 1.2578, 0.7735, 0.5157, 0.8048], q:[0.5627, 0.5], qb:[0.2422, 0.7578], phi:[0.4843]] | t^2.226 + t^2.321 + t^2.415 + t^2.812 + 2*t^2.906 + t^3. + t^3.774 + t^3.868 + t^3.962 + 2*t^4.453 + t^4.547 + 3*t^4.641 + t^4.735 + 2*t^4.829 + 3*t^5.132 + 3*t^5.226 + 3*t^5.321 + t^5.415 + t^5.624 + 2*t^5.718 + 3*t^5.812 + t^5.906 - 2*t^6. - t^4.453/y - t^4.453*y | detail | |
| 4801 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ | 0.6708 | 0.8437 | 0.795 | [M:[0.8655, 0.7345, 0.7673, 0.8327, 1.1673, 0.7673, 0.8655, 1.2327], q:[0.7673, 0.3673], qb:[0.4655, 0.8], phi:[0.4]] | t^2.204 + t^2.302 + t^2.4 + t^2.498 + 2*t^2.596 + t^3.502 + t^3.698 + t^3.993 + t^4.407 + t^4.505 + 3*t^4.604 + 3*t^4.702 + 3*t^4.8 + 4*t^4.898 + 3*t^4.996 + t^5.095 + 3*t^5.193 + 2*t^5.804 + t^5.902 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 4798 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ | 0.6217 | 0.7664 | 0.8112 | [X:[1.4074], M:[1.0372, 0.5926, 0.7223, 0.9074, 1.0926, 0.6851, 1.0, 1.2777], q:[0.6665, 0.2963], qb:[0.6112, 0.7963], phi:[0.4074]] | t^2.055 + t^2.445 + t^2.722 + t^3. + t^3.112 + t^3.278 + t^3.833 + 2*t^4.111 + t^4.222 + t^4.388 + t^4.5 + t^4.778 + t^4.889 + t^5.055 + 2*t^5.167 + t^5.221 + t^5.333 + 2*t^5.445 + t^5.556 + t^5.722 + t^5.888 - t^6. - t^4.222/y - t^4.222*y | detail | |
| 4804 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6913 | 0.874 | 0.791 | [M:[1.0445, 0.7929, 1.0041, 0.8332, 1.1668, 0.7074, 0.7478, 0.9959, 1.0813], q:[0.5591, 0.3964], qb:[0.4368, 0.7703], phi:[0.4593]] | t^2.122 + t^2.243 + t^2.379 + t^2.5 + t^2.988 + t^3.133 + t^3.244 + t^3.5 + t^3.988 + t^3.999 + 2*t^4.245 + 2*t^4.366 + t^4.487 + t^4.501 + 2*t^4.622 + t^4.733 + t^4.743 + t^4.757 + t^4.878 + t^4.999 + t^5.11 + t^5.231 + t^5.256 + 2*t^5.366 + t^5.377 + 2*t^5.487 + 2*t^5.623 + 2*t^5.744 + t^5.975 - 2*t^6. - t^4.378/y - t^4.378*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1556 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.705 | 0.8925 | 0.7899 | [M:[0.9877, 0.7581, 0.9066, 0.8392, 1.1608, 0.7244, 0.8055], q:[0.6333, 0.379], qb:[0.4601, 0.7818], phi:[0.4364]] | t^2.173 + t^2.274 + t^2.416 + t^2.518 + t^2.619 + t^2.72 + t^2.963 + t^3.482 + t^4.07 + t^4.245 + 2*t^4.346 + t^4.447 + t^4.549 + 2*t^4.59 + 2*t^4.691 + 2*t^4.792 + t^4.833 + 2*t^4.893 + t^4.934 + t^4.994 + 2*t^5.035 + t^5.109 + 3*t^5.136 + 2*t^5.237 + t^5.339 + t^5.379 + t^5.44 + t^5.582 + t^5.656 + t^5.683 + t^5.899 + t^5.926 - 2*t^6. - t^4.309/y - t^4.309*y | detail |