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 |
|---|---|---|---|---|---|---|---|---|---|
| 549 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | [X:[[12]], M:[[-12], [4], [6], [-24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.346 + t^2.436 + t^2.616 + t^3.384 + t^3.474 + t^3.564 + t^3.654 + t^3.744 + t^3.924 + t^4.602 + 2*t^4.692 + 2*t^4.872 + t^4.962 + t^5.231 + 3*t^5.82 + t^5.91 - t^6. + 2*t^6.09 + t^6.18 + 2*t^6.359 + t^6.539 + t^6.769 + t^6.859 + 3*t^7.038 + t^7.128 + 4*t^7.308 + t^7.398 + t^7.488 + 2*t^7.577 + t^7.667 + 2*t^7.847 + t^7.987 + t^8.076 + t^8.166 + 2*t^8.256 - t^8.346 + t^8.526 - t^8.616 + 2*t^8.795 + t^8.975 - t^4.218/y - t^6.564/y - t^6.834/y + t^7.602/y + t^7.782/y + t^7.872/y + t^7.962/y + t^8.052/y + t^8.73/y + (2*t^8.82)/y + t^8.91/y - t^4.218*y - t^6.564*y - t^6.834*y + t^7.602*y + t^7.782*y + t^7.872*y + t^7.962*y + t^8.052*y + t^8.73*y + 2*t^8.82*y + t^8.91*y | g1^6*t^2.346 + t^2.436/g1^4 + t^2.616/g1^24 + g1^24*t^3.384 + g1^14*t^3.474 + g1^4*t^3.564 + t^3.654/g1^6 + t^3.744/g1^16 + t^3.924/g1^36 + g1^22*t^4.602 + 2*g1^12*t^4.692 + (2*t^4.872)/g1^8 + t^4.962/g1^18 + t^5.231/g1^48 + 3*g1^20*t^5.82 + g1^10*t^5.91 - t^6. + (2*t^6.09)/g1^10 + t^6.18/g1^20 + (2*t^6.359)/g1^40 + t^6.539/g1^60 + g1^48*t^6.769 + g1^38*t^6.859 + 3*g1^18*t^7.038 + g1^8*t^7.128 + (4*t^7.308)/g1^12 + t^7.398/g1^22 + t^7.488/g1^32 + (2*t^7.577)/g1^42 + t^7.667/g1^52 + (2*t^7.847)/g1^72 + g1^46*t^7.987 + g1^36*t^8.076 + g1^26*t^8.166 + 2*g1^16*t^8.256 - g1^6*t^8.346 + t^8.526/g1^14 - t^8.616/g1^24 + (2*t^8.795)/g1^44 + t^8.975/g1^64 - t^4.218/(g1^2*y) - (g1^4*t^6.564)/y - t^6.834/(g1^26*y) + (g1^22*t^7.602)/y + (g1^2*t^7.782)/y + t^7.872/(g1^8*y) + t^7.962/(g1^18*y) + t^8.052/(g1^28*y) + (g1^30*t^8.73)/y + (2*g1^20*t^8.82)/y + (g1^10*t^8.91)/y - (t^4.218*y)/g1^2 - g1^4*t^6.564*y - (t^6.834*y)/g1^26 + g1^22*t^7.602*y + g1^2*t^7.782*y + (t^7.872*y)/g1^8 + (t^7.962*y)/g1^18 + (t^8.052*y)/g1^28 + g1^30*t^8.73*y + 2*g1^20*t^8.82*y + g1^10*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 861 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{3}$ | 0.6135 | 0.751 | 0.8169 | [X:[1.6], M:[0.4, 1.2, 0.8, 0.8], q:[0.8, 0.8], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.4 + 6*t^3.6 + 7*t^4.8 + 9*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1227/2000, c: 751/1000, X1: 8/5, M1: 2/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 4/5, q2: 4/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| 862 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ | 0.6345 | 0.7831 | 0.8102 | [X:[1.5667], M:[0.4333, 1.1889, 0.7834, 0.8665, 0.8111], q:[0.7972, 0.7695], qb:[0.4471, 0.364], phi:[0.4055]] | t^2.35 + 2*t^2.433 + t^2.6 + t^3.4 + t^3.484 + t^3.65 + t^3.733 + t^3.899 + t^4.617 + 2*t^4.7 + t^4.783 + 4*t^4.867 + t^4.95 + t^5.033 + t^5.199 + 4*t^5.834 + t^5.917 - 2*t^6. - t^4.217/y - t^4.217*y | detail | |
| 863 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | 2*t^2.341 + t^2.439 + t^2.636 + t^3.364 + t^3.462 + t^3.561 + t^3.757 + t^3.954 + t^4.584 + 4*t^4.682 + t^4.78 + 2*t^4.879 + 2*t^4.977 + t^5.272 + t^5.705 + 4*t^5.803 + 2*t^5.902 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 864 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6395 | 0.796 | 0.8033 | [X:[1.5608], M:[0.4392, 1.1869, 0.7804, 0.8784, 0.6823], q:[0.7967, 0.7641], qb:[0.4556, 0.3575], phi:[0.4065]] | t^2.047 + t^2.341 + t^2.439 + t^2.635 + t^3.365 + t^3.463 + t^3.561 + t^3.659 + t^3.757 + t^4.094 + t^4.388 + t^4.486 + t^4.584 + 3*t^4.682 + 2*t^4.878 + t^4.976 + t^5.271 + t^5.412 + t^5.51 + t^5.608 + t^5.706 + 4*t^5.804 + t^5.902 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 1916 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6379 | 0.7905 | 0.8069 | [X:[1.5576], M:[0.4424, 1.1859, 0.7788, 0.8848, 0.7434], q:[0.7965, 0.7611], qb:[0.4601, 0.354], phi:[0.4071]] | t^2.23 + t^2.336 + t^2.442 + t^2.655 + t^3.345 + t^3.452 + t^3.558 + t^3.664 + t^3.982 + t^4.461 + 2*t^4.567 + 3*t^4.673 + 3*t^4.885 + t^4.991 + t^5.309 + t^5.576 + t^5.682 + 4*t^5.788 + 2*t^5.894 - t^6. - t^4.221/y - t^4.221*y | detail | |
| 1915 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6329 | 0.7805 | 0.8109 | [X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8516, 0.8301], q:[0.7978, 0.7763], qb:[0.4366, 0.372], phi:[0.4043]] | t^2.361 + t^2.426 + t^2.49 + t^2.555 + t^3.445 + t^3.574 + t^3.639 + t^3.703 + t^3.832 + t^4.658 + 2*t^4.723 + 3*t^4.852 + 2*t^4.916 + t^4.981 + t^5.045 + t^5.11 + 2*t^5.871 + t^5.935 - t^6. - t^4.213/y - t^4.213*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 |
|---|---|---|---|---|---|---|---|---|---|
| 348 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6916 | 0.8641 | 0.8004 | [M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | t^2.051 + t^2.079 + t^2.684 + t^2.909 + t^2.986 + t^3.316 + t^3.619 + t^3.723 + t^4.026 + t^4.103 + 2*t^4.131 + t^4.158 + t^4.251 + t^4.356 + t^4.581 + t^4.735 + t^4.763 + t^4.96 + t^4.988 + t^5.038 + t^5.065 + 2*t^5.368 + t^5.395 + t^5.593 + t^5.67 + t^5.698 + t^5.803 + t^5.818 + t^5.972 - 2*t^6. - t^4.342/y - t^4.342*y | detail |