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 |
|---|---|---|---|---|---|---|---|---|---|
| 46708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -5]], 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 |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. + t^6.139 + t^6.159 + t^6.228 + t^6.249 + t^6.317 + t^6.318 + 2*t^6.408 + 2*t^6.567 + t^6.615 + t^6.636 + t^6.726 + t^6.774 + 3*t^6.795 + t^6.885 - t^6.933 + 2*t^6.954 + t^7.043 + 2*t^7.113 + t^7.161 + t^7.182 + t^7.203 + t^7.251 + t^7.271 + 2*t^7.272 + t^7.341 - t^7.41 + 2*t^7.431 + 2*t^7.5 + t^7.569 + 2*t^7.59 + 2*t^7.659 + t^7.728 + 2*t^7.749 + t^7.887 + 2*t^7.908 + t^7.977 + t^8.046 + t^8.066 + t^8.067 - 2*t^8.136 + t^8.184 + t^8.205 + t^8.226 + t^8.274 - 2*t^8.295 + t^8.364 + 2*t^8.384 + 2*t^8.434 + t^8.453 + t^8.454 - 2*t^8.523 + 3*t^8.544 + t^8.592 + t^8.612 + t^8.613 - 2*t^8.682 + 2*t^8.703 + t^8.821 + t^8.84 + 2*t^8.862 + t^8.91 + t^8.931 - t^4.341/y - t^6.477/y - t^6.636/y - t^7.023/y + t^7.272/y - t^7.41/y + t^7.431/y + (2*t^7.659)/y + (2*t^7.818)/y + t^7.977/y + t^8.046/y + (3*t^8.205)/y + t^8.295/y + t^8.364/y + t^8.454/y + t^8.592/y + t^8.682/y + t^8.751/y + t^8.772/y + t^8.841/y - t^4.341*y - t^6.477*y - t^6.636*y - t^7.023*y + t^7.272*y - t^7.41*y + t^7.431*y + 2*t^7.659*y + 2*t^7.818*y + t^7.977*y + t^8.046*y + 3*t^8.205*y + t^8.295*y + t^8.364*y + t^8.454*y + t^8.592*y + t^8.682*y + t^8.751*y + t^8.772*y + t^8.841*y | (g1*t^2.136)/g2^5 + (g1^2*t^2.295)/g2^16 + (g2^7*t^2.523)/g1 + t^2.682/g2^4 + (g2^8*t^3.069)/g1^2 + (g2^15*t^3.159)/g1 + (g1*t^3.477)/g2^7 + (g1^2*t^3.636)/g2^18 + (g2^28*t^4.092)/g1^4 + g1*g2*t^4.113 + (2*g1^2*t^4.272)/g2^10 + (g1^3*t^4.431)/g2^21 + (g2^13*t^4.5)/g1 + (g1^4*t^4.59)/g2^32 + g2^2*t^4.659 + (2*g1*t^4.818)/g2^9 + (g1^2*t^4.907)/g2^2 + (g1^2*t^4.977)/g2^20 + (g2^14*t^5.046)/g1^2 + (2*g2^3*t^5.205)/g1 + g2^10*t^5.295 + t^5.364/g2^8 + (g1*t^5.454)/g2 + (g1^2*t^5.613)/g2^12 + (g2^22*t^5.682)/g1^2 + (g2^4*t^5.751)/g1^2 + (g1^3*t^5.772)/g2^23 + (g2^11*t^5.841)/g1 + (g1^4*t^5.931)/g2^34 - 2*t^6. + (g2^16*t^6.139)/g1^4 + (g1*t^6.159)/g2^11 + (g2^23*t^6.228)/g1^3 + (g1^2*t^6.249)/g2^4 + (g2^30*t^6.317)/g1^2 + (g1^2*t^6.318)/g2^22 + (2*g1^3*t^6.408)/g2^15 + (2*g1^4*t^6.567)/g2^26 + (g2^35*t^6.615)/g1^5 + g2^8*t^6.636 + (g1^5*t^6.726)/g2^37 + (g2^24*t^6.774)/g1^4 + (3*g1*t^6.795)/g2^3 + (g1^6*t^6.885)/g2^48 - (g2^13*t^6.933)/g1^3 + (2*g1^2*t^6.954)/g2^14 + (g1^3*t^7.043)/g2^7 + (2*g1^3*t^7.113)/g2^25 + (g2^36*t^7.161)/g1^6 + (g2^9*t^7.182)/g1 + (g1^4*t^7.203)/g2^18 + (g2^43*t^7.251)/g1^5 + g2^16*t^7.271 + (2*g1^4*t^7.272)/g2^36 + t^7.341/g2^2 - (g2^32*t^7.41)/g1^4 + 2*g1*g2^5*t^7.431 + (2*g1*t^7.5)/g2^13 + (g2^21*t^7.569)/g1^3 + (2*g1^2*t^7.59)/g2^6 + (g1^2*t^7.659)/g2^24 + (g2^28*t^7.659)/g1^2 + (g2^10*t^7.728)/g1^2 + (2*g1^3*t^7.749)/g2^17 + t^7.887/(g1*g2) + (2*g1^4*t^7.908)/g2^28 + g2^6*t^7.977 + t^8.046/g2^12 + g1*g2^13*t^8.066 + (g1^5*t^8.067)/g2^39 - (2*g1*t^8.136)/g2^5 + (g2^56*t^8.184)/g1^8 + (g2^29*t^8.205)/g1^3 + (g1^6*t^8.226)/g2^50 + (g2^11*t^8.274)/g1^3 - (2*g1^2*t^8.295)/g2^16 + (g2^18*t^8.364)/g1^2 + (2*g1^3*t^8.384)/g2^9 + (2*t^8.434)/g1^2 + (g2^25*t^8.453)/g1 + (g1^3*t^8.454)/g2^27 - (2*g2^7*t^8.523)/g1 + (3*g1^4*t^8.544)/g2^20 + (g2^41*t^8.592)/g1^5 + g2^14*t^8.612 + (g1^4*t^8.613)/g2^38 - (2*t^8.682)/g2^4 + (2*g1^5*t^8.703)/g2^31 + (g2^12*t^8.821)/g1^4 + (g2^37*t^8.84)/g1^3 + (2*g1^6*t^8.862)/g2^42 + (g2^19*t^8.91)/g1^3 + (g1^2*t^8.931)/g2^8 - t^4.341/(g2^2*y) - (g1*t^6.477)/(g2^7*y) - (g1^2*t^6.636)/(g2^18*y) - t^7.023/(g2^6*y) + (g1^2*t^7.272)/(g2^10*y) - (g2^6*t^7.41)/(g1^2*y) + (g1^3*t^7.431)/(g2^21*y) + (2*g2^2*t^7.659)/y + (2*g1*t^7.818)/(g2^9*y) + (g1^2*t^7.977)/(g2^20*y) + (g2^14*t^8.046)/(g1^2*y) + (3*g2^3*t^8.205)/(g1*y) + (g2^10*t^8.295)/y + t^8.364/(g2^8*y) + (g1*t^8.454)/(g2*y) + (g2^15*t^8.592)/(g1^3*y) + (g2^22*t^8.682)/(g1^2*y) + (g2^4*t^8.751)/(g1^2*y) + (g1^3*t^8.772)/(g2^23*y) + (g2^11*t^8.841)/(g1*y) - (t^4.341*y)/g2^2 - (g1*t^6.477*y)/g2^7 - (g1^2*t^6.636*y)/g2^18 - (t^7.023*y)/g2^6 + (g1^2*t^7.272*y)/g2^10 - (g2^6*t^7.41*y)/g1^2 + (g1^3*t^7.431*y)/g2^21 + 2*g2^2*t^7.659*y + (2*g1*t^7.818*y)/g2^9 + (g1^2*t^7.977*y)/g2^20 + (g2^14*t^8.046*y)/g1^2 + (3*g2^3*t^8.205*y)/g1 + g2^10*t^8.295*y + (t^8.364*y)/g2^8 + (g1*t^8.454*y)/g2 + (g2^15*t^8.592*y)/g1^3 + (g2^22*t^8.682*y)/g1^2 + (g2^4*t^8.751*y)/g1^2 + (g1^3*t^8.772*y)/g2^23 + (g2^11*t^8.841*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 |
|---|---|---|---|---|---|---|---|---|
| 48292 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ | 0.6955 | 0.8765 | 0.7936 | [M:[1.1646, 1.013, 0.8354, 0.7766, 0.7172, 0.8354], q:[0.3883, 0.4471], qb:[0.5987, 0.7763], phi:[0.4474]] | t^2.152 + t^2.33 + 2*t^2.506 + t^2.684 + t^3.039 + t^3.137 + t^3.672 + t^4.025 + t^4.125 + 2*t^4.303 + t^4.48 + t^4.481 + 2*t^4.658 + t^4.66 + 3*t^4.836 + t^4.934 + 3*t^5.012 + t^5.014 + 3*t^5.191 + t^5.289 + t^5.369 + t^5.467 + t^5.545 + 2*t^5.644 + t^5.723 + t^5.822 - 3*t^6. - t^4.342/y - t^4.342*y | detail | |
| 47153 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6767 | 0.8464 | 0.7996 | [M:[1.143, 0.9996, 0.857, 0.7144, 0.7144], q:[0.3572, 0.4998], qb:[0.6431, 0.7857], phi:[0.4285]] | 2*t^2.143 + 2*t^2.571 + t^2.999 + 3*t^3.429 + t^4.284 + 5*t^4.287 + 5*t^4.714 + 4*t^5.142 + t^5.144 + t^5.57 + 5*t^5.572 + t^5.998 + 2*t^6. - t^4.286/y - t^4.286*y | detail | |
| 48307 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ | 0.6637 | 0.8211 | 0.8083 | [M:[1.168, 1.0146, 0.832, 0.7862, 0.7178, 1.2138], q:[0.3931, 0.4389], qb:[0.5922, 0.7749], phi:[0.4502]] | t^2.153 + t^2.496 + t^2.701 + t^3.044 + t^3.093 + t^3.504 + t^3.641 + t^3.709 + t^3.984 + t^4.101 + 2*t^4.307 + t^4.444 + t^4.649 + t^4.855 + t^4.904 + t^4.992 + 2*t^5.197 + t^5.247 + t^5.589 + t^5.657 + t^5.745 + 2*t^5.795 - 2*t^6. - t^4.351/y - t^4.351*y | detail | |
| 48217 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6814 | 0.8523 | 0.7995 | [M:[1.1632, 1.0209, 0.8368, 0.7755, 0.7141], q:[0.3877, 0.4491], qb:[0.5914, 0.7755], phi:[0.4491]] | t^2.142 + t^2.326 + t^2.51 + t^2.694 + t^3.063 + t^3.121 + t^3.49 + t^3.674 + t^4.042 + t^4.101 + 2*t^4.285 + 2*t^4.469 + 2*t^4.653 + 2*t^4.837 + t^4.896 + 2*t^5.021 + 2*t^5.205 + t^5.264 + t^5.389 + t^5.448 + 2*t^5.632 + t^5.757 + 2*t^5.816 - t^6. - t^4.347/y - t^4.347*y | detail | |
| 47280 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ | 0.6087 | 0.7781 | 0.7823 | [M:[1.2578, 0.9373, 0.7422, 1.0, 0.7735], q:[0.5, 0.2422], qb:[0.5627, 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 | |
| 47041 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6779 | 0.8482 | 0.7993 | [M:[1.1823, 0.9951, 0.8177, 0.8177, 0.7291], q:[0.4089, 0.4089], qb:[0.596, 0.7734], phi:[0.4532]] | t^2.187 + 2*t^2.453 + t^2.719 + t^2.985 + t^3.015 + t^3.547 + 2*t^3.813 + t^4.108 + 3*t^4.374 + 2*t^4.64 + 4*t^4.906 + t^4.936 + 3*t^5.172 + t^5.202 + t^5.438 + 2*t^5.468 + t^5.705 + 2*t^5.734 + t^5.971 - t^4.36/y - t^4.36*y | detail | {a: 93927043/138556848, c: 58758829/69278424, M1: 6026/5097, M2: 5072/5097, M3: 4168/5097, M4: 4168/5097, M5: 3716/5097, q1: 2084/5097, q2: 2084/5097, qb1: 3038/5097, qb2: 1314/1699, phi1: 770/1699} |
| 47066 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6598 | 0.8251 | 0.7997 | [M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | t^2.132 + t^2.266 + t^2.4 + t^2.534 + t^2.668 + t^3.332 + t^3.466 + t^3.734 + t^4.136 + t^4.264 + t^4.398 + 3*t^4.532 + 3*t^4.666 + 2*t^4.8 + 3*t^4.934 + 2*t^5.068 + t^5.336 + t^5.464 + t^5.598 + 3*t^5.732 + 2*t^5.866 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 47204 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6726 | 0.8389 | 0.8018 | [M:[1.1599, 1.0455, 0.8401, 0.775, 0.7048, 1.0898], q:[0.3875, 0.4526], qb:[0.567, 0.7724], phi:[0.4551]] | t^2.114 + t^2.325 + t^2.52 + t^3.059 + t^3.137 + t^3.269 + t^3.48 + t^3.69 + t^4.018 + t^4.081 + 2*t^4.229 + t^4.424 + t^4.439 + t^4.635 + t^4.65 + t^4.767 + t^4.845 + t^5.041 + t^5.173 + t^5.251 + 2*t^5.384 + t^5.579 + 2*t^5.594 + t^5.79 + t^5.805 - 2*t^6. - t^4.365/y - t^4.365*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46292 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6613 | 0.8142 | 0.8122 | [M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 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 |