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 |
|---|---|---|---|---|---|---|---|---|---|
| 46799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6851 | 0.8556 | 0.8007 | [M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [-2, 18], [1, -15]], 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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$ | ${}$ | -2 | 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^6.1 + t^6.199 + t^6.327 + t^6.426 + t^6.454 + t^6.554 + t^6.652 + t^6.653 + t^6.679 + t^6.753 + t^6.851 + t^6.879 + 2*t^6.979 + t^6.98 + t^7.006 + t^7.078 + t^7.106 + t^7.178 + t^7.206 + t^7.233 + t^7.278 + 2*t^7.305 + t^7.333 + 2*t^7.405 + t^7.431 + t^7.433 + 2*t^7.505 + 3*t^7.532 + t^7.558 + t^7.604 + 3*t^7.632 + t^7.704 + 2*t^7.732 + t^7.758 + t^7.759 + 3*t^7.831 + t^7.859 + 2*t^7.931 + t^7.959 - t^7.985 + t^8.031 + t^8.058 + t^8.086 + t^8.13 + 2*t^8.158 - t^8.184 + t^8.258 - 3*t^8.284 + t^8.285 + t^8.311 + t^8.357 - 2*t^8.411 + t^8.485 - 2*t^8.511 + t^8.584 - t^8.61 + t^8.636 + t^8.638 - 2*t^8.71 + t^8.811 + t^8.837 + t^8.865 + t^8.91 + t^8.936 - 2*t^8.937 + t^8.965 - t^4.305/y - t^6.589/y - t^6.716/y - t^6.916/y - t^7.015/y - t^7.242/y + t^7.368/y + t^7.595/y + (2*t^7.695)/y + t^7.794/y + (2*t^7.894)/y + t^7.922/y + t^7.994/y + (2*t^8.021)/y + (2*t^8.121)/y + (2*t^8.221)/y + t^8.321/y + t^8.348/y + t^8.448/y + t^8.548/y + t^8.647/y + t^8.773/y - t^8.873/y + t^8.9/y - t^4.305*y - t^6.589*y - t^6.716*y - t^6.916*y - t^7.015*y - t^7.242*y + t^7.368*y + t^7.595*y + 2*t^7.695*y + t^7.794*y + 2*t^7.894*y + t^7.922*y + t^7.994*y + 2*t^8.021*y + 2*t^8.121*y + 2*t^8.221*y + t^8.321*y + t^8.348*y + t^8.448*y + t^8.548*y + t^8.647*y + t^8.773*y - t^8.873*y + t^8.9*y | (g1^2*t^2.284)/g2^16 + (g2^18*t^2.411)/g1^2 + (g2^7*t^2.511)/g1 + t^2.61/g2^4 + (g1*t^2.71)/g2^15 + (g2^8*t^2.937)/g1^2 + (g1*t^3.489)/g2^7 + (g2^5*t^3.816)/g1 + (g2^28*t^4.043)/g1^4 + g1*g2*t^4.268 + (g1^2*t^4.368)/g2^10 + (g1^4*t^4.567)/g2^32 + (g2^13*t^4.595)/g1 + g2^2*t^4.695 + (g1*t^4.794)/g2^9 + (g2^36*t^4.822)/g1^4 + (g1^2*t^4.894)/g2^20 + (g2^25*t^4.922)/g1^3 + (g1^3*t^4.994)/g2^31 + (2*g2^14*t^5.021)/g1^2 + (2*g2^3*t^5.121)/g1 + (g1^2*t^5.147)/g2^2 + (2*t^5.221)/g2^8 + (g1*t^5.321)/g2^19 + (g2^26*t^5.348)/g1^4 + (g1^2*t^5.42)/g2^30 + (g2^4*t^5.548)/g1^2 + t^5.647/(g1*g2^7) + (g2^16*t^5.874)/g1^4 + (g2^11*t^5.9)/g1 - 2*t^6. + (g1*t^6.1)/g2^11 + (g1^2*t^6.199)/g2^22 + (g2^12*t^6.327)/g1^2 + (g2*t^6.426)/g1 + (g2^46*t^6.454)/g1^6 + (g2^35*t^6.554)/g1^5 + (g1^4*t^6.652)/g2^26 + (g2^24*t^6.653)/g1^4 + (g2^19*t^6.679)/g1 + (g2^13*t^6.753)/g1^3 + (g1^6*t^6.851)/g2^48 + (g1*t^6.879)/g2^3 + (2*g1^2*t^6.979)/g2^14 + (g2^36*t^6.98)/g1^6 + (g2^31*t^7.006)/g1^3 + (g1^3*t^7.078)/g2^25 + (g2^20*t^7.106)/g1^2 + (g1^4*t^7.178)/g2^36 + (g2^9*t^7.206)/g1 + (g2^54*t^7.233)/g1^6 + (g1^5*t^7.278)/g2^47 + (2*t^7.305)/g2^2 + (g2^43*t^7.333)/g1^5 + (2*g1*t^7.405)/g2^13 + (g1^4*t^7.431)/g2^18 + (g2^32*t^7.433)/g1^4 + (2*g1^2*t^7.505)/g2^24 + (3*g2^21*t^7.532)/g1^3 + g2^16*t^7.558 + (g1^3*t^7.604)/g2^35 + (3*g2^10*t^7.632)/g1^2 + (g1^4*t^7.704)/g2^46 + (2*t^7.732)/(g1*g2) + (g1^2*t^7.758)/g2^6 + (g2^44*t^7.759)/g1^6 + (3*t^7.831)/g2^12 + (g2^33*t^7.859)/g1^5 + (2*g1*t^7.931)/g2^23 + (g2^22*t^7.959)/g1^4 - (g2^17*t^7.985)/g1 + (g1^2*t^8.031)/g2^34 + (g2^11*t^8.058)/g1^3 + (g2^56*t^8.086)/g1^8 + (g1^3*t^8.13)/g2^45 + (2*t^8.158)/g1^2 - (g1*t^8.184)/g2^5 + t^8.258/(g1*g2^11) - (3*g1^2*t^8.284)/g2^16 + (g2^34*t^8.285)/g1^6 + (g2^29*t^8.311)/g1^3 + t^8.357/g2^22 - (2*g2^18*t^8.411)/g1^2 + (g2^12*t^8.485)/g1^4 - (2*g2^7*t^8.511)/g1 + (g2*t^8.584)/g1^3 - t^8.61/g2^4 + (g1^3*t^8.636)/g2^9 + (g2^41*t^8.638)/g1^5 - (2*g1*t^8.71)/g2^15 + (g2^24*t^8.811)/g1^6 + (g2^19*t^8.837)/g1^3 + (g2^64*t^8.865)/g1^8 + (g1^3*t^8.91)/g2^37 + (g1^6*t^8.936)/g2^42 - (2*g2^8*t^8.937)/g1^2 + (g2^53*t^8.965)/g1^7 - t^4.305/(g2^2*y) - (g1^2*t^6.589)/(g2^18*y) - (g2^16*t^6.716)/(g1^2*y) - t^6.916/(g2^6*y) - (g1*t^7.015)/(g2^17*y) - (g2^6*t^7.242)/(g1^2*y) + (g1^2*t^7.368)/(g2^10*y) + (g2^13*t^7.595)/(g1*y) + (2*g2^2*t^7.695)/y + (g1*t^7.794)/(g2^9*y) + (2*g1^2*t^7.894)/(g2^20*y) + (g2^25*t^7.922)/(g1^3*y) + (g1^3*t^7.994)/(g2^31*y) + (2*g2^14*t^8.021)/(g1^2*y) + (2*g2^3*t^8.121)/(g1*y) + (2*t^8.221)/(g2^8*y) + (g1*t^8.321)/(g2^19*y) + (g2^26*t^8.348)/(g1^4*y) + (g2^15*t^8.448)/(g1^3*y) + (g2^4*t^8.548)/(g1^2*y) + t^8.647/(g1*g2^7*y) + (g1^3*t^8.773)/(g2^23*y) - (g1^4*t^8.873)/(g2^34*y) + (g2^11*t^8.9)/(g1*y) - (t^4.305*y)/g2^2 - (g1^2*t^6.589*y)/g2^18 - (g2^16*t^6.716*y)/g1^2 - (t^6.916*y)/g2^6 - (g1*t^7.015*y)/g2^17 - (g2^6*t^7.242*y)/g1^2 + (g1^2*t^7.368*y)/g2^10 + (g2^13*t^7.595*y)/g1 + 2*g2^2*t^7.695*y + (g1*t^7.794*y)/g2^9 + (2*g1^2*t^7.894*y)/g2^20 + (g2^25*t^7.922*y)/g1^3 + (g1^3*t^7.994*y)/g2^31 + (2*g2^14*t^8.021*y)/g1^2 + (2*g2^3*t^8.121*y)/g1 + (2*t^8.221*y)/g2^8 + (g1*t^8.321*y)/g2^19 + (g2^26*t^8.348*y)/g1^4 + (g2^15*t^8.448*y)/g1^3 + (g2^4*t^8.548*y)/g1^2 + (t^8.647*y)/(g1*g2^7) + (g1^3*t^8.773*y)/g2^23 - (g1^4*t^8.873*y)/g2^34 + (g2^11*t^8.9*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55343 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.6848 | 0.8548 | 0.8012 | [M:[1.1585, 1.0, 0.8415, 0.7561, 0.8049, 0.9146], q:[0.378, 0.4635], qb:[0.622, 0.7805], phi:[0.439]] | t^2.268 + t^2.415 + t^2.524 + t^2.634 + t^2.744 + t^3. + t^3.476 + t^3.841 + t^4.098 + t^4.207 + t^4.317 + t^4.536 + t^4.573 + t^4.683 + t^4.793 + t^4.83 + t^4.902 + t^4.939 + t^5.012 + 3*t^5.049 + 2*t^5.159 + 2*t^5.268 + t^5.378 + t^5.415 + t^5.487 + t^5.634 + t^5.744 + t^5.89 - t^6. - t^4.317/y - t^4.317*y | detail | |
| 50836 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.6212 | 0.7642 | 0.8129 | [X:[1.4041], M:[1.0959, 1.0207, 0.9041, 0.5959, 1.0, 0.7124], q:[0.2979, 0.6062], qb:[0.6814, 0.7979], phi:[0.4041]] | t^2.137 + t^2.425 + t^2.712 + t^3. + t^3.062 + t^3.288 + t^3.925 + t^4.15 + t^4.212 + t^4.274 + t^4.438 + t^4.562 + 2*t^4.85 + 2*t^5.137 + t^5.199 + t^5.301 + 3*t^5.425 + t^5.487 + t^5.712 - t^6. - t^4.212/y - t^4.212*y | detail | |
| 55295 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6689 | 0.8376 | 0.7985 | [M:[1.1715, 1.0713, 0.8285, 0.8144, 0.7142, 1.0572], q:[0.4072, 0.4213], qb:[0.5215, 0.7643], phi:[0.4714]] | t^2.143 + t^2.443 + t^2.486 + t^2.829 + t^3.171 + t^3.214 + t^3.514 + t^3.857 + t^3.9 + t^3.942 + t^4.2 + t^4.243 + t^4.285 + t^4.543 + t^4.586 + t^4.628 + t^4.886 + t^4.929 + 2*t^4.971 + t^5.272 + 2*t^5.314 + t^5.356 + t^5.615 + 3*t^5.657 - t^4.414/y - t^4.414*y | detail | |
| 55050 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ | 0.6788 | 0.8484 | 0.8001 | [M:[1.1711, 1.0295, 0.8289, 0.7994, 0.7434, 1.0], q:[0.3997, 0.4292], qb:[0.5708, 0.7714], phi:[0.4572]] | t^2.23 + t^2.398 + t^2.487 + t^2.743 + t^3. + t^3.089 + t^3.513 + t^3.858 + t^3.947 + t^4.027 + t^4.283 + t^4.372 + t^4.46 + t^4.628 + t^4.717 + 2*t^4.796 + t^4.885 + 2*t^4.973 + t^5.142 + 2*t^5.23 + t^5.319 + t^5.398 + 2*t^5.487 + 2*t^5.743 + t^5.832 - t^6. - t^4.372/y - t^4.372*y | detail | |
| 54739 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6741 | 0.8369 | 0.8055 | [M:[1.1625, 1.0013, 0.8375, 0.7671, 0.7907, 0.9309, 1.1158], q:[0.3836, 0.4539], qb:[0.6152, 0.7789], phi:[0.4421]] | t^2.301 + t^2.372 + t^2.512 + t^2.793 + t^3.004 + t^3.347 + t^3.488 + t^3.839 + t^4.05 + t^4.182 + t^4.323 + t^4.534 + t^4.603 + t^4.674 + t^4.744 + t^4.814 + t^4.885 + t^5.017 + t^5.025 + t^5.094 + t^5.165 + t^5.305 + t^5.376 + t^5.586 + t^5.649 + t^5.72 + t^5.797 + 2*t^5.86 - 2*t^6. - t^4.326/y - t^4.326*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46743 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6793 | 0.8474 | 0.8016 | [M:[1.1687, 1.0148, 0.8313, 0.788, 0.7613], q:[0.394, 0.4373], qb:[0.5912, 0.7746], phi:[0.4507]] | t^2.284 + t^2.364 + t^2.494 + t^2.704 + t^3.044 + t^3.086 + t^3.506 + t^3.846 + t^3.976 + t^4.097 + t^4.308 + t^4.438 + t^4.568 + t^4.648 + t^4.728 + t^4.778 + t^4.858 + t^4.899 + 2*t^4.988 + t^5.068 + t^5.198 + t^5.328 + t^5.369 + t^5.408 + t^5.45 + t^5.58 + t^5.749 + 2*t^5.79 - 2*t^6. - t^4.352/y - t^4.352*y | detail |