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 |
|---|---|---|---|---|---|---|---|---|---|
| 54573 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6913 | 0.874 | 0.791 | [M:[1.1668, 1.0445, 0.8332, 0.7929, 1.0813, 0.7478, 0.7074], q:[0.3964, 0.4368], qb:[0.5591, 0.7703], phi:[0.4593]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [0, 4], [-2, 18], [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 |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.122 + t^2.243 + t^2.379 + t^2.5 + t^2.988 + t^3.133 + t^3.244 + t^3.5 + t^3.988 + t^3.999 + 2*t^4.245 + 2*t^4.366 + t^4.487 + t^4.501 + 2*t^4.622 + t^4.733 + t^4.743 + t^4.757 + t^4.878 + t^4.999 + t^5.11 + t^5.231 + t^5.256 + 2*t^5.366 + t^5.377 + 2*t^5.487 + 2*t^5.623 + 2*t^5.744 + t^5.975 - 2*t^6. + t^6.111 + t^6.121 + 2*t^6.232 + t^6.242 - t^6.256 + t^6.267 + 2*t^6.367 + t^6.377 + 4*t^6.488 + t^6.499 + 2*t^6.609 + 2*t^6.623 + t^6.73 + 3*t^6.744 + t^6.855 + 2*t^6.865 + t^6.879 - t^6.89 + 2*t^6.976 + 2*t^6.987 + t^7.001 - t^7.011 + t^7.111 + t^7.122 + t^7.132 + t^7.136 + 3*t^7.232 + t^7.243 + 2*t^7.353 + t^7.475 + 3*t^7.489 + 2*t^7.499 + 3*t^7.61 + t^7.62 + t^7.72 + 2*t^7.731 + 2*t^7.745 - t^7.755 + 3*t^7.866 + t^7.977 + 3*t^7.987 + t^7.998 + t^8.001 - t^8.012 + t^8.098 - 3*t^8.122 + t^8.219 + 2*t^8.233 - t^8.243 + 3*t^8.354 + 2*t^8.365 - 4*t^8.379 + t^8.389 + 3*t^8.475 + t^8.486 + 2*t^8.489 - 3*t^8.5 + t^8.51 + 4*t^8.61 + t^8.621 - t^8.635 + t^8.645 + t^8.721 + 6*t^8.731 + t^8.742 + 2*t^8.745 - t^8.756 + 2*t^8.853 + 3*t^8.867 + t^8.963 + t^8.974 + 2*t^8.977 + t^8.988 + t^8.998 - t^4.378/y - t^6.5/y - t^6.621/y - t^6.757/y + t^7.245/y + t^7.366/y + t^7.501/y - t^7.511/y + (2*t^7.622)/y + t^7.743/y + t^7.878/y + t^7.999/y + t^8.11/y + t^8.135/y + t^8.231/y + (2*t^8.256)/y + (2*t^8.366)/y + t^8.377/y + (2*t^8.487)/y + t^8.512/y + t^8.623/y + t^8.633/y + t^8.744/y - t^8.865/y - t^4.378*y - t^6.5*y - t^6.621*y - t^6.757*y + t^7.245*y + t^7.366*y + t^7.501*y - t^7.511*y + 2*t^7.622*y + t^7.743*y + t^7.878*y + t^7.999*y + t^8.11*y + t^8.135*y + t^8.231*y + 2*t^8.256*y + 2*t^8.366*y + t^8.377*y + 2*t^8.487*y + t^8.512*y + t^8.623*y + t^8.633*y + t^8.744*y - t^8.865*y | (g1*t^2.122)/g2^5 + (g2^18*t^2.243)/g1^2 + (g1^2*t^2.379)/g2^16 + (g2^7*t^2.5)/g1 + (g2^15*t^2.988)/g1 + (g2^8*t^3.133)/g1^2 + g2^4*t^3.244 + (g1*t^3.5)/g2^7 + g1*g2*t^3.988 + (g2^28*t^3.999)/g1^4 + (2*g1^2*t^4.245)/g2^10 + (2*g2^13*t^4.366)/g1 + (g2^36*t^4.487)/g1^4 + (g1^3*t^4.501)/g2^21 + 2*g2^2*t^4.622 + (g1^2*t^4.733)/g2^2 + (g2^25*t^4.743)/g1^3 + (g1^4*t^4.757)/g2^32 + (g1*t^4.878)/g2^9 + (g2^14*t^4.999)/g1^2 + g2^10*t^5.11 + (g2^33*t^5.231)/g1^3 + (g2^3*t^5.256)/g1 + (2*g1*t^5.366)/g2 + (g2^26*t^5.377)/g1^4 + (2*g2^22*t^5.487)/g1^2 + (2*g1^2*t^5.623)/g2^12 + (2*g2^11*t^5.744)/g1 + (g2^30*t^5.975)/g1^2 - 2*t^6. + (g1^2*t^6.111)/g2^4 + (g2^23*t^6.121)/g1^3 + (2*g2^19*t^6.232)/g1 + (g2^46*t^6.242)/g1^6 - (g1*t^6.256)/g2^11 + (g2^16*t^6.267)/g1^4 + (2*g1^3*t^6.367)/g2^15 + (g2^12*t^6.377)/g1^2 + 4*g2^8*t^6.488 + (g2^35*t^6.499)/g1^5 + (2*g2^31*t^6.609)/g1^3 + (2*g1^4*t^6.623)/g2^26 + (g2^54*t^6.73)/g1^6 + (3*g1*t^6.744)/g2^3 + (g1^3*t^6.855)/g2^7 + (2*g2^20*t^6.865)/g1^2 + (g1^5*t^6.879)/g2^37 - t^6.89/g2^10 + 2*g2^16*t^6.976 + (2*g2^43*t^6.987)/g1^5 + (g1^2*t^7.001)/g2^14 - (g2^13*t^7.011)/g1^3 + (g1^4*t^7.111)/g2^18 + (g2^9*t^7.122)/g1 + (g2^36*t^7.132)/g1^6 + (g1^6*t^7.136)/g2^48 + 3*g1*g2^5*t^7.232 + (g2^32*t^7.243)/g1^4 + (2*g2^28*t^7.353)/g1^2 + (g2^51*t^7.475)/g1^5 + (3*g1^2*t^7.489)/g2^6 + (2*g2^21*t^7.499)/g1^3 + (3*g2^17*t^7.61)/g1 + (g2^44*t^7.62)/g1^6 + g1*g2^13*t^7.72 + (2*g2^40*t^7.731)/g1^4 + (2*g1^3*t^7.745)/g2^17 - (g2^10*t^7.755)/g1^2 + 3*g2^6*t^7.866 + g1^2*g2^2*t^7.977 + (3*g2^29*t^7.987)/g1^3 + (g2^56*t^7.998)/g1^8 + (g1^4*t^8.001)/g2^28 - t^8.012/(g1*g2) + (g2^25*t^8.098)/g1 - (3*g1*t^8.122)/g2^5 + (g2^48*t^8.219)/g1^4 + (2*g1^3*t^8.233)/g2^9 - (g2^18*t^8.243)/g1^2 + 3*g2^14*t^8.354 + (2*g2^41*t^8.365)/g1^5 - (4*g1^2*t^8.379)/g2^16 + (g2^11*t^8.389)/g1^3 + (3*g2^37*t^8.475)/g1^3 + (g2^64*t^8.486)/g1^8 + (2*g1^4*t^8.489)/g2^20 - (3*g2^7*t^8.5)/g1 + (g2^34*t^8.51)/g1^6 + 4*g1*g2^3*t^8.61 + (g2^30*t^8.621)/g1^4 - (g1^3*t^8.635)/g2^27 + t^8.645/g1^2 + (g1^3*t^8.721)/g2 + (6*g2^26*t^8.731)/g1^2 + (g2^53*t^8.742)/g1^7 + (2*g1^5*t^8.745)/g2^31 - t^8.756/g2^4 + (2*g2^49*t^8.853)/g1^5 + (3*g1^2*t^8.867)/g2^8 + (g2^45*t^8.963)/g1^3 + (g2^72*t^8.974)/g1^8 + (2*g1^4*t^8.977)/g2^12 + (g2^15*t^8.988)/g1 + (g2^42*t^8.998)/g1^6 - t^4.378/(g2^2*y) - (g1*t^6.5)/(g2^7*y) - (g2^16*t^6.621)/(g1^2*y) - (g1^2*t^6.757)/(g2^18*y) + (g1^2*t^7.245)/(g2^10*y) + (g2^13*t^7.366)/(g1*y) + (g1^3*t^7.501)/(g2^21*y) - (g2^6*t^7.511)/(g1^2*y) + (2*g2^2*t^7.622)/y + (g2^25*t^7.743)/(g1^3*y) + (g1*t^7.878)/(g2^9*y) + (g2^14*t^7.999)/(g1^2*y) + (g2^10*t^8.11)/y + (g1^2*t^8.135)/(g2^20*y) + (g2^33*t^8.231)/(g1^3*y) + (2*g2^3*t^8.256)/(g1*y) + (2*g1*t^8.366)/(g2*y) + (g2^26*t^8.377)/(g1^4*y) + (2*g2^22*t^8.487)/(g1^2*y) + t^8.512/(g2^8*y) + (g1^2*t^8.623)/(g2^12*y) + (g2^15*t^8.633)/(g1^3*y) + (g2^11*t^8.744)/(g1*y) - (g2^34*t^8.865)/(g1^4*y) - (t^4.378*y)/g2^2 - (g1*t^6.5*y)/g2^7 - (g2^16*t^6.621*y)/g1^2 - (g1^2*t^6.757*y)/g2^18 + (g1^2*t^7.245*y)/g2^10 + (g2^13*t^7.366*y)/g1 + (g1^3*t^7.501*y)/g2^21 - (g2^6*t^7.511*y)/g1^2 + 2*g2^2*t^7.622*y + (g2^25*t^7.743*y)/g1^3 + (g1*t^7.878*y)/g2^9 + (g2^14*t^7.999*y)/g1^2 + g2^10*t^8.11*y + (g1^2*t^8.135*y)/g2^20 + (g2^33*t^8.231*y)/g1^3 + (2*g2^3*t^8.256*y)/g1 + (2*g1*t^8.366*y)/g2 + (g2^26*t^8.377*y)/g1^4 + (2*g2^22*t^8.487*y)/g1^2 + (t^8.512*y)/g2^8 + (g1^2*t^8.623*y)/g2^12 + (g2^15*t^8.633*y)/g1^3 + (g2^11*t^8.744*y)/g1 - (g2^34*t^8.865*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56579 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6543 | 0.8147 | 0.8031 | [M:[1.1673, 0.8655, 0.8327, 0.7345, 1.2, 0.8655, 0.7673], q:[0.3673, 0.4655], qb:[0.7673, 0.8], phi:[0.4]] | t^2.204 + t^2.302 + t^2.498 + 2*t^2.596 + t^3.502 + t^3.6 + t^3.698 + t^3.993 + t^4.407 + t^4.505 + 2*t^4.604 + 2*t^4.702 + 2*t^4.8 + 3*t^4.898 + t^4.996 + t^5.095 + 3*t^5.193 + 3*t^5.804 + t^5.902 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 56581 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6942 | 0.8747 | 0.7937 | [M:[1.1605, 1.009, 0.8395, 0.7644, 1.1133, 0.7923, 0.7172, 0.9339], q:[0.3822, 0.4573], qb:[0.6088, 0.7783], phi:[0.4433]] | t^2.152 + t^2.293 + t^2.377 + t^2.518 + t^2.802 + t^3.027 + t^3.34 + t^3.482 + t^4.074 + t^4.162 + 2*t^4.303 + t^4.445 + 2*t^4.528 + t^4.586 + 2*t^4.67 + t^4.754 + t^4.812 + t^4.895 + t^4.953 + t^4.983 + t^5.037 + t^5.095 + 2*t^5.178 + t^5.32 + t^5.404 + t^5.492 + t^5.603 + 2*t^5.633 + t^5.717 + t^5.829 + 2*t^5.858 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 56584 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7122 | 0.9154 | 0.778 | [M:[1.1669, 1.0435, 0.8331, 0.7928, 1.0819, 0.7481, 0.7078, 0.6694], q:[0.3964, 0.4367], qb:[0.5601, 0.7705], phi:[0.4591]] | t^2.008 + t^2.123 + t^2.244 + t^2.378 + t^2.499 + t^2.991 + t^3.13 + t^3.246 + t^3.501 + t^3.998 + t^4.016 + t^4.132 + 2*t^4.247 + t^4.253 + 2*t^4.368 + t^4.387 + t^4.489 + t^4.502 + t^4.508 + 2*t^4.623 + t^4.738 + t^4.744 + t^4.757 + t^4.878 + 2*t^4.999 + t^5.114 + t^5.139 + t^5.235 + 2*t^5.254 + 2*t^5.369 + t^5.375 + 2*t^5.49 + t^5.509 + 2*t^5.624 + 2*t^5.745 + t^5.981 - 2*t^6. - t^4.377/y - t^4.377*y | detail | |
| 56580 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.6913 | 0.8736 | 0.7913 | [M:[1.1664, 1.0424, 0.8336, 0.7912, 1.0832, 0.7504, 0.708], q:[0.3956, 0.438], qb:[0.562, 0.7708], phi:[0.4584]] | t^2.124 + t^2.251 + t^2.374 + t^2.501 + t^3. + t^3.127 + t^3.25 + t^3.499 + t^3.998 + t^4.003 + 2*t^4.248 + 2*t^4.375 + t^4.498 + t^4.502 + 2*t^4.625 + 2*t^4.747 + t^4.752 + t^4.874 + t^5.002 + t^5.124 + 2*t^5.251 + 2*t^5.374 + t^5.379 + 2*t^5.501 + 2*t^5.623 + 2*t^5.75 - t^6. - t^4.375/y - t^4.375*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47003 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.671 | 0.8353 | 0.8033 | [M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. - t^4.375/y - t^4.375*y | detail |