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 |
|---|---|---|---|---|---|---|---|---|---|
| 609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6698 | 0.8297 | 0.8073 | [M:[0.9823, 0.7363, 0.8719, 0.8467, 1.1533], q:[0.6495, 0.3682], qb:[0.4785, 0.7852], phi:[0.4297]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1]], 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 |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.209 + t^2.54 + t^2.578 + t^2.616 + t^2.947 + t^3.46 + t^3.498 + t^3.829 + t^4.16 + t^4.304 + t^4.342 + t^4.418 + t^4.673 + t^4.749 + t^4.787 + t^4.825 + t^5.08 + t^5.118 + 2*t^5.156 + t^5.186 + t^5.194 + t^5.232 + t^5.525 + t^5.563 + t^5.707 + t^5.894 - 2*t^6. + 2*t^6.038 + 2*t^6.076 + t^6.114 - t^6.331 + t^6.369 + t^6.407 + t^6.445 + t^6.551 + t^6.627 + t^6.7 + t^6.738 + t^6.776 - t^6.844 + t^6.882 + t^6.92 + 2*t^6.958 + 2*t^6.996 + t^7.034 + t^7.107 + t^7.289 + 2*t^7.327 + 2*t^7.365 + t^7.395 + t^7.403 + t^7.441 - t^7.582 + t^7.62 + 2*t^7.658 + t^7.696 + 2*t^7.734 + t^7.764 + 2*t^7.772 + t^7.802 + t^7.81 + t^7.84 + t^7.848 + t^7.916 + t^7.989 - t^8.095 + 2*t^8.103 + t^8.141 + t^8.179 - 3*t^8.209 + t^8.247 + t^8.285 + t^8.32 + t^8.323 + t^8.472 + t^8.51 - 3*t^8.54 - t^8.578 - t^8.616 + t^8.646 + 2*t^8.654 + t^8.684 + 2*t^8.692 + t^8.73 + t^8.76 + t^8.833 + t^8.836 + t^8.841 - t^8.871 - 2*t^8.947 + t^8.985 - t^4.289/y - t^6.498/y - t^6.867/y - t^6.905/y - t^7.236/y + t^7.342/y + t^7.673/y + t^7.711/y + t^7.749/y + t^7.787/y + t^7.825/y + t^8.08/y + t^8.118/y + (2*t^8.156)/y + t^8.194/y + t^8.487/y + t^8.525/y + t^8.563/y + t^8.669/y - t^4.289*y - t^6.498*y - t^6.867*y - t^6.905*y - t^7.236*y + t^7.342*y + t^7.673*y + t^7.711*y + t^7.749*y + t^7.787*y + t^7.825*y + t^8.08*y + t^8.118*y + 2*t^8.156*y + t^8.194*y + t^8.487*y + t^8.525*y + t^8.563*y + t^8.669*y | t^2.209/(g1^2*g2^2) + (g1*t^2.54)/g2 + t^2.578/g2^8 + t^2.616/(g1*g2^15) + (g1^2*t^2.947)/g2^14 + (g2*t^3.46)/g1 + t^3.498/(g1^2*g2^6) + (g1*t^3.829)/g2^5 + (g1^4*t^4.16)/g2^4 + (g2^17*t^4.304)/g1 + (g2^10*t^4.342)/g1^2 + t^4.418/(g1^4*g2^4) + g1*g2^11*t^4.673 + t^4.749/(g1*g2^3) + t^4.787/(g1^2*g2^10) + t^4.825/(g1^3*g2^17) + (g1^2*t^5.08)/g2^2 + (g1*t^5.118)/g2^9 + (2*t^5.156)/g2^16 + (g2^26*t^5.186)/g1^2 + t^5.194/(g1*g2^23) + t^5.232/(g1^2*g2^30) + (g1^2*t^5.525)/g2^22 + (g1*t^5.563)/g2^29 + t^5.707/(g1^4*g2^8) + (g1^4*t^5.894)/g2^28 - 2*t^6. + (2*t^6.038)/(g1*g2^7) + (2*t^6.076)/(g1^2*g2^14) + t^6.114/(g1^3*g2^21) - g1^3*g2*t^6.331 + (g1^2*t^6.369)/g2^6 + (g1*t^6.407)/g2^13 + t^6.445/g2^20 + (g2^8*t^6.551)/g1^4 + t^6.627/(g1^6*g2^6) + (g1^5*t^6.7)/g2^5 + (g1^4*t^6.738)/g2^12 + (g1^3*t^6.776)/g2^19 - g2^16*t^6.844 + (g2^9*t^6.882)/g1 + (g2^2*t^6.92)/g1^2 + (2*t^6.958)/(g1^3*g2^5) + (2*t^6.996)/(g1^4*g2^12) + t^7.034/(g1^5*g2^19) + (g1^6*t^7.107)/g2^18 + t^7.289/g2^4 + (2*t^7.327)/(g1*g2^11) + (2*t^7.365)/(g1^2*g2^18) + (g2^24*t^7.395)/g1^4 + t^7.403/(g1^3*g2^25) + t^7.441/(g1^4*g2^32) - g1^4*g2^4*t^7.582 + (g1^3*t^7.62)/g2^3 + (2*g1^2*t^7.658)/g2^10 + (g1*t^7.696)/g2^17 + (2*t^7.734)/g2^24 + (g2^18*t^7.764)/g1^2 + (2*t^7.772)/(g1*g2^31) + (g2^11*t^7.802)/g1^3 + t^7.81/(g1^2*g2^38) + (g2^4*t^7.84)/g1^4 + t^7.848/(g1^3*g2^45) + t^7.916/(g1^6*g2^10) + (g1^5*t^7.989)/g2^9 - g1*g2^19*t^8.095 + (2*g1^2*t^8.103)/g2^30 + (g1*t^8.141)/g2^37 + t^8.179/g2^44 - (3*t^8.209)/(g1^2*g2^2) + t^8.247/(g1^3*g2^9) + t^8.285/(g1^4*g2^16) + (g1^8*t^8.32)/g2^8 + t^8.323/(g1^5*g2^23) + (g1^4*t^8.472)/g2^36 + (g1^3*t^8.51)/g2^43 - (3*g1*t^8.54)/g2 - t^8.578/g2^8 - t^8.616/(g1*g2^15) + (g2^27*t^8.646)/g1^3 + (2*t^8.654)/(g1^2*g2^22) + (g2^20*t^8.684)/g1^4 + (2*t^8.692)/(g1^3*g2^29) + t^8.73/(g1^4*g2^36) + (g2^6*t^8.76)/g1^6 + g1^5*g2^7*t^8.833 + t^8.836/(g1^8*g2^8) + (g1^6*t^8.841)/g2^42 - g1^4*t^8.871 - (2*g1^2*t^8.947)/g2^14 + (g1*t^8.985)/g2^21 - t^4.289/(g2^4*y) - t^6.498/(g1^2*g2^6*y) - t^6.867/(g2^12*y) - t^6.905/(g1*g2^19*y) - (g1^2*t^7.236)/(g2^18*y) + (g2^10*t^7.342)/(g1^2*y) + (g1*g2^11*t^7.673)/y + (g2^4*t^7.711)/y + t^7.749/(g1*g2^3*y) + t^7.787/(g1^2*g2^10*y) + t^7.825/(g1^3*g2^17*y) + (g1^2*t^8.08)/(g2^2*y) + (g1*t^8.118)/(g2^9*y) + (2*t^8.156)/(g2^16*y) + t^8.194/(g1*g2^23*y) + (g1^3*t^8.487)/(g2^15*y) + (g1^2*t^8.525)/(g2^22*y) + (g1*t^8.563)/(g2^29*y) + t^8.669/(g1^3*g2*y) - (t^4.289*y)/g2^4 - (t^6.498*y)/(g1^2*g2^6) - (t^6.867*y)/g2^12 - (t^6.905*y)/(g1*g2^19) - (g1^2*t^7.236*y)/g2^18 + (g2^10*t^7.342*y)/g1^2 + g1*g2^11*t^7.673*y + g2^4*t^7.711*y + (t^7.749*y)/(g1*g2^3) + (t^7.787*y)/(g1^2*g2^10) + (t^7.825*y)/(g1^3*g2^17) + (g1^2*t^8.08*y)/g2^2 + (g1*t^8.118*y)/g2^9 + (2*t^8.156*y)/g2^16 + (t^8.194*y)/(g1*g2^23) + (g1^3*t^8.487*y)/g2^15 + (g1^2*t^8.525*y)/g2^22 + (g1*t^8.563*y)/g2^29 + (t^8.669*y)/(g1^3*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 983 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6651 | 0.8215 | 0.8096 | [M:[1.0528, 0.7461, 0.9472, 0.8518, 1.1482], q:[0.5741, 0.3731], qb:[0.4788, 0.7751], phi:[0.4497]] | t^2.238 + t^2.555 + t^2.698 + t^2.841 + t^3.159 + t^3.445 + t^3.588 + t^3.905 + t^4.048 + t^4.191 + t^4.222 + t^4.477 + t^4.508 + 2*t^4.794 + t^4.937 + t^5.08 + t^5.111 + t^5.254 + 2*t^5.397 + t^5.54 + t^5.683 + t^5.826 + t^5.857 - t^6. - t^4.349/y - t^4.349*y | detail | |
| 980 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ | 0.6303 | 0.778 | 0.8102 | [M:[1.0252, 0.8855, 1.1145, 0.7961, 1.2039], q:[0.5321, 0.4427], qb:[0.3534, 0.7612], phi:[0.4777]] | t^2.388 + t^2.656 + t^2.866 + t^3.075 + t^3.344 + t^3.553 + t^3.612 + t^3.821 + t^3.88 + 2*t^4.089 + t^4.357 + t^4.626 + t^4.777 + t^5.045 + t^5.254 + t^5.313 + t^5.522 + t^5.732 + 2*t^5.941 - t^6. - t^4.433/y - t^4.433*y | detail | |
| 987 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6669 | 0.8242 | 0.8092 | [M:[0.9689, 0.7812, 0.922, 0.8281, 1.1719], q:[0.6405, 0.3906], qb:[0.4375, 0.7812], phi:[0.4375]] | t^2.344 + t^2.484 + t^2.625 + t^2.766 + t^2.907 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.265 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + 2*t^4.969 + 2*t^5.11 + t^5.156 + 2*t^5.25 + t^5.391 + 2*t^5.532 + t^5.673 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | |
| 988 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6613 | 0.8142 | 0.8122 | [M:[1.0162, 0.7677, 0.9447, 0.8391, 1.1609, 1.0553], q:[0.6, 0.3838], qb:[0.4553, 0.777], phi:[0.446]] | t^2.303 + t^2.517 + t^2.676 + t^3.048 + t^3.166 + t^3.483 + t^3.641 + t^3.855 + t^4.07 + t^4.131 + t^4.289 + t^4.504 + t^4.606 + t^4.82 + t^4.938 + t^4.979 + t^5.035 + t^5.193 + t^5.352 + t^5.469 + t^5.683 + t^5.724 + t^5.842 + t^5.944 - 2*t^6. - t^4.338/y - t^4.338*y | detail | |
| 981 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6487 | 0.7997 | 0.8112 | [M:[1.0791, 0.8087, 1.0561, 0.8316, 1.1684], q:[0.5166, 0.4043], qb:[0.4273, 0.764], phi:[0.4719]] | t^2.426 + t^2.495 + t^2.832 + t^3.168 + t^3.237 + t^3.505 + 2*t^3.842 + t^3.911 + t^3.98 + t^4.179 + t^4.247 + t^4.515 + t^4.852 + t^4.921 + t^4.99 + t^5.258 + t^5.327 + t^5.594 + 2*t^5.663 - t^6. - t^4.416/y - t^4.416*y | detail | |
| 982 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ | 0.6596 | 0.8132 | 0.8111 | [M:[1.0406, 0.7923, 1.0, 0.8329, 1.1671], q:[0.5632, 0.3962], qb:[0.4368, 0.7709], phi:[0.4582]] | t^2.377 + t^2.499 + t^2.749 + t^3. + t^3.122 + t^3.501 + t^3.752 + t^3.874 + t^3.995 + t^4.002 + t^4.253 + t^4.375 + 2*t^4.754 + t^4.876 + t^4.998 + t^5.126 + t^5.248 + t^5.377 + 2*t^5.499 + t^5.749 + t^5.871 - t^6. - t^4.375/y - t^4.375*y | detail | |
| 986 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6898 | 0.8671 | 0.7956 | [M:[0.9905, 0.7331, 0.8747, 0.8489, 1.1511, 0.7202], q:[0.6429, 0.3665], qb:[0.4824, 0.7846], phi:[0.4309]] | t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*y | detail | |
| 989 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6851 | 0.8556 | 0.8007 | [M:[0.9791, 0.7612, 0.9034, 0.8369, 1.1631, 0.8037], q:[0.6403, 0.3806], qb:[0.4563, 0.7825], phi:[0.4351]] | t^2.284 + t^2.411 + t^2.511 + t^2.61 + t^2.71 + t^2.937 + t^3.489 + t^3.816 + t^4.043 + t^4.268 + t^4.368 + t^4.567 + t^4.595 + t^4.695 + t^4.794 + t^4.822 + t^4.894 + t^4.922 + t^4.994 + 2*t^5.021 + 2*t^5.121 + t^5.147 + 2*t^5.221 + t^5.321 + t^5.348 + t^5.42 + t^5.548 + t^5.647 + t^5.874 + t^5.9 - 2*t^6. - t^4.305/y - t^4.305*y | detail | |
| 984 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6579 | 0.8086 | 0.8137 | [M:[1.0037, 0.7433, 0.9002, 0.8467, 1.1533, 1.1265], q:[0.6247, 0.3716], qb:[0.4751, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.701 + t^3.011 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.161 + t^4.219 + t^4.299 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.058 + t^5.08 + t^5.241 + t^5.401 + t^5.609 + t^5.712 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail |