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 |
|---|---|---|---|---|---|---|---|---|---|
| 52426 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6471 | 0.8081 | 0.8007 | [M:[1.1947, 1.0602, 0.8053, 0.8726, 1.1274, 0.7788], q:[0.4363, 0.369], qb:[0.5035, 0.7584], phi:[0.4832]] | [M:[[10], [-38], [-10], [14], [-14], [40]], q:[[7], [-17]], qb:[[31], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$ | ${}$ | -1 | t^2.336 + t^2.416 + t^2.618 + t^2.899 + t^3.18 + t^3.382 + t^3.584 + t^3.786 + t^3.865 + 2*t^4.067 + t^4.269 + t^4.471 + t^4.673 + t^4.752 + t^4.832 + t^4.954 + t^5.034 + 2*t^5.235 + t^5.315 + 2*t^5.517 + t^5.719 + t^5.798 + t^5.92 - t^6. + t^6.08 + t^6.122 + t^6.281 + t^6.361 + 2*t^6.404 + 2*t^6.483 + t^6.563 + t^6.605 + 2*t^6.685 + t^6.765 + t^6.807 + t^6.887 + 2*t^6.966 + t^7.009 + 2*t^7.089 + t^7.168 + t^7.248 + t^7.29 + 2*t^7.37 + t^7.45 + 2*t^7.572 + 3*t^7.651 + t^7.731 + 4*t^7.853 + t^7.933 + 2*t^8.055 + 3*t^8.135 + 2*t^8.257 + t^8.459 + 2*t^8.538 - 2*t^8.618 + 2*t^8.697 + 3*t^8.74 + 2*t^8.942 + t^8.979 - t^4.45/y - t^6.786/y + t^7.269/y - t^7.349/y + t^7.55/y - t^7.63/y + t^7.752/y + t^7.954/y + t^8.034/y + t^8.113/y + t^8.235/y + t^8.315/y + (2*t^8.517)/y + t^8.596/y + t^8.719/y + (2*t^8.798)/y + t^8.92/y - t^4.45*y - t^6.786*y + t^7.269*y - t^7.349*y + t^7.55*y - t^7.63*y + t^7.752*y + t^7.954*y + t^8.034*y + t^8.113*y + t^8.235*y + t^8.315*y + 2*t^8.517*y + t^8.596*y + t^8.719*y + 2*t^8.798*y + t^8.92*y | g1^40*t^2.336 + t^2.416/g1^10 + g1^14*t^2.618 + t^2.899/g1^12 + t^3.18/g1^38 + t^3.382/g1^14 + g1^10*t^3.584 + g1^34*t^3.786 + t^3.865/g1^16 + 2*g1^8*t^4.067 + g1^32*t^4.269 + g1^56*t^4.471 + g1^80*t^4.673 + g1^30*t^4.752 + t^4.832/g1^20 + g1^54*t^4.954 + g1^4*t^5.034 + 2*g1^28*t^5.235 + t^5.315/g1^22 + 2*g1^2*t^5.517 + g1^26*t^5.719 + t^5.798/g1^24 + g1^50*t^5.92 - t^6. + t^6.08/g1^50 + g1^74*t^6.122 + t^6.281/g1^26 + t^6.361/g1^76 + 2*g1^48*t^6.404 + (2*t^6.483)/g1^2 + t^6.563/g1^52 + g1^72*t^6.605 + 2*g1^22*t^6.685 + t^6.765/g1^28 + g1^96*t^6.807 + g1^46*t^6.887 + (2*t^6.966)/g1^4 + g1^120*t^7.009 + 2*g1^70*t^7.089 + g1^20*t^7.168 + t^7.248/g1^30 + g1^94*t^7.29 + 2*g1^44*t^7.37 + t^7.45/g1^6 + 2*g1^68*t^7.572 + 3*g1^18*t^7.651 + t^7.731/g1^32 + 4*g1^42*t^7.853 + t^7.933/g1^8 + 2*g1^66*t^8.055 + 3*g1^16*t^8.135 + 2*g1^90*t^8.257 + g1^114*t^8.459 + 2*g1^64*t^8.538 - 2*g1^14*t^8.618 + (2*t^8.697)/g1^36 + 3*g1^88*t^8.74 + 2*g1^112*t^8.942 + t^8.979/g1^62 - t^4.45/(g1^6*y) - (g1^34*t^6.786)/y + (g1^32*t^7.269)/y - t^7.349/(g1^18*y) + (g1^6*t^7.55)/y - t^7.63/(g1^44*y) + (g1^30*t^7.752)/y + (g1^54*t^7.954)/y + (g1^4*t^8.034)/y + t^8.113/(g1^46*y) + (g1^28*t^8.235)/y + t^8.315/(g1^22*y) + (2*g1^2*t^8.517)/y + t^8.596/(g1^48*y) + (g1^26*t^8.719)/y + (2*t^8.798)/(g1^24*y) + (g1^50*t^8.92)/y - (t^4.45*y)/g1^6 - g1^34*t^6.786*y + g1^32*t^7.269*y - (t^7.349*y)/g1^18 + g1^6*t^7.55*y - (t^7.63*y)/g1^44 + g1^30*t^7.752*y + g1^54*t^7.954*y + g1^4*t^8.034*y + (t^8.113*y)/g1^46 + g1^28*t^8.235*y + (t^8.315*y)/g1^22 + 2*g1^2*t^8.517*y + (t^8.596*y)/g1^48 + g1^26*t^8.719*y + (2*t^8.798*y)/g1^24 + g1^50*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 56340 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6467 | 0.8067 | 0.8017 | [M:[1.2, 1.04, 0.8, 0.88, 1.12, 0.8], q:[0.44, 0.36], qb:[0.52, 0.76], phi:[0.48]] | 2*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 2*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 10104/15625, c: 12604/15625, M1: 6/5, M2: 26/25, M3: 4/5, M4: 22/25, M5: 28/25, M6: 4/5, q1: 11/25, q2: 9/25, qb1: 13/25, qb2: 19/25, phi1: 12/25} |
| 56346 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6633 | 0.8362 | 0.7932 | [M:[1.1968, 1.0521, 0.8032, 0.8756, 1.1244, 0.7873, 0.8032], q:[0.4378, 0.3654], qb:[0.5102, 0.759], phi:[0.4819]] | t^2.362 + 2*t^2.41 + t^2.627 + t^2.891 + t^3.156 + t^3.373 + t^3.808 + t^3.855 + 2*t^4.072 + t^4.29 + t^4.507 + t^4.724 + 2*t^4.771 + 3*t^4.819 + t^4.989 + 2*t^5.036 + 2*t^5.253 + 2*t^5.301 + 2*t^5.518 + t^5.566 + t^5.735 + 2*t^5.783 - 2*t^6. - t^4.446/y - t^4.446*y | detail | |
| 56338 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.5917 | 0.7398 | 0.7998 | [M:[1.2593, 0.8148, 0.7407, 0.963, 1.037, 1.037], q:[0.4815, 0.2593], qb:[0.7037, 0.7778], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 3*t^4.889 + 2*t^5.111 + 2*t^5.333 + 4*t^5.556 + 3*t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 1294/2187, c: 1618/2187, M1: 34/27, M2: 22/27, M3: 20/27, M4: 26/27, M5: 28/27, M6: 28/27, q1: 13/27, q2: 7/27, qb1: 19/27, qb2: 7/9, phi1: 4/9} |
| 56341 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.6359 | 0.7886 | 0.8064 | [M:[1.1987, 1.045, 0.8013, 0.8782, 1.1218, 0.7947, 1.1218], q:[0.4391, 0.3622], qb:[0.5159, 0.7596], phi:[0.4808]] | t^2.384 + t^2.404 + t^2.885 + t^3.135 + 2*t^3.366 + t^3.596 + t^3.827 + t^3.846 + 2*t^4.077 + t^4.307 + t^4.538 + t^4.768 + t^4.788 + t^4.808 + t^5.269 + t^5.289 + t^5.519 + 2*t^5.75 + t^5.769 + t^5.98 - 2*t^6. - t^4.442/y - t^4.442*y | detail | |
| 56339 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.6292 | 0.783 | 0.8035 | [M:[1.2308, 0.9231, 0.7692, 0.9231, 1.0769, 0.9231], q:[0.4615, 0.3077], qb:[0.6154, 0.7692], phi:[0.4615]] | t^2.308 + 4*t^2.769 + t^3.231 + 2*t^3.692 + 3*t^4.154 + 2*t^4.615 + 4*t^5.077 + 9*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 5529/8788, c: 6881/8788, M1: 16/13, M2: 12/13, M3: 10/13, M4: 12/13, M5: 14/13, M6: 12/13, q1: 6/13, q2: 4/13, qb1: 8/13, qb2: 10/13, phi1: 6/13} |
| 56344 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ | 0.6586 | 0.8288 | 0.7947 | [M:[1.1909, 1.0747, 0.8091, 0.8672, 1.1328, 0.7635, 0.8672], q:[0.4336, 0.3755], qb:[0.4917, 0.7573], phi:[0.4855]] | t^2.29 + t^2.427 + 2*t^2.602 + t^2.913 + t^3.224 + t^3.573 + t^3.747 + t^3.884 + 2*t^4.058 + t^4.232 + t^4.407 + t^4.581 + t^4.718 + t^4.855 + 2*t^4.892 + 2*t^5.029 + 4*t^5.203 + t^5.34 + 3*t^5.515 + t^5.826 + t^5.863 - 2*t^6. - t^4.456/y - t^4.456*y | detail | |
| 56336 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.606 | 0.756 | 0.8016 | [M:[1.25, 0.85, 0.75, 0.95, 1.05, 1.0], q:[0.475, 0.275], qb:[0.675, 0.775], phi:[0.45]] | t^2.25 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^4.95 + 2*t^5.1 + 2*t^5.25 + 2*t^5.4 + 2*t^5.55 + 3*t^5.7 + 2*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 38781/64000, c: 48381/64000, M1: 5/4, M2: 17/20, M3: 3/4, M4: 19/20, M5: 21/20, M6: 1, q1: 19/40, q2: 11/40, qb1: 27/40, qb2: 31/40, phi1: 9/20} |
| 56349 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6674 | 0.8468 | 0.7881 | [M:[1.1934, 1.0649, 0.8066, 0.8708, 1.1292, 0.7738, 0.7095], q:[0.4354, 0.3712], qb:[0.4997, 0.758], phi:[0.4839]] | t^2.129 + t^2.321 + t^2.42 + t^2.612 + t^2.904 + t^3.195 + t^3.388 + t^3.58 + t^3.773 + 2*t^4.064 + 2*t^4.257 + 2*t^4.45 + t^4.548 + t^4.643 + 2*t^4.741 + t^4.839 + t^4.934 + 2*t^5.032 + 2*t^5.225 + 2*t^5.323 + 3*t^5.516 + 2*t^5.709 + t^5.807 + 2*t^5.902 - t^6. - t^4.452/y - t^4.452*y | detail | |
| 56342 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6441 | 0.8042 | 0.801 | [M:[1.1908, 1.0748, 0.8092, 0.8672, 1.1328, 0.7633, 1.029], q:[0.4336, 0.3756], qb:[0.4916, 0.7572], phi:[0.4855]] | t^2.29 + t^2.428 + t^2.601 + t^3.087 + t^3.225 + t^3.399 + t^3.572 + t^3.746 + t^3.884 + 2*t^4.058 + t^4.232 + t^4.406 + t^4.58 + t^4.717 + t^4.855 + t^4.891 + t^5.029 + t^5.203 + t^5.377 + 2*t^5.514 + 2*t^5.688 + t^5.862 - t^6. - t^4.457/y - t^4.457*y | detail | |
| 56348 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6668 | 0.8443 | 0.7898 | [M:[1.1983, 1.0464, 0.8017, 0.8776, 1.1224, 0.7932, 0.7258], q:[0.4388, 0.3629], qb:[0.5147, 0.7595], phi:[0.481]] | t^2.177 + t^2.38 + t^2.405 + t^2.633 + t^2.886 + t^3.139 + t^3.367 + t^3.595 + t^3.848 + 2*t^4.076 + t^4.304 + t^4.355 + t^4.532 + t^4.557 + t^4.582 + t^4.759 + t^4.785 + 2*t^4.81 + t^5.013 + t^5.038 + t^5.063 + 2*t^5.266 + t^5.291 + t^5.317 + 2*t^5.519 + t^5.544 + t^5.747 + 2*t^5.772 + t^5.975 - t^6. - t^4.443/y - t^4.443*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47054 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6303 | 0.778 | 0.8102 | [M:[1.2039, 1.0252, 0.7961, 0.8855, 1.1145], q:[0.4427, 0.3534], qb:[0.5321, 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 |