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 |
|---|---|---|---|---|---|---|---|---|---|
| 56349 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 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]] | [M:[[10], [-38], [-10], [14], [-14], [40], [16]], q:[[7], [-17]], qb:[[31], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | 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^6.094 + t^6.098 + t^6.193 + 4*t^6.386 + t^6.39 + t^6.484 + 3*t^6.578 + t^6.582 + 3*t^6.677 + 2*t^6.771 + 3*t^6.869 + t^6.964 + 3*t^6.968 + 3*t^7.062 - t^7.066 + 3*t^7.161 + t^7.255 + 4*t^7.353 + 2*t^7.452 + 2*t^7.546 + 5*t^7.645 + 6*t^7.837 + 4*t^8.03 + t^8.129 + 3*t^8.223 + t^8.227 + t^8.416 + 5*t^8.514 + t^8.518 - 2*t^8.612 + 6*t^8.707 + 2*t^8.711 + 2*t^8.805 + 4*t^8.9 - t^8.904 + 5*t^8.998 - t^4.452/y - t^6.58/y - t^6.773/y + t^7.257/y - t^7.355/y + t^7.45/y + (2*t^7.548)/y - t^7.647/y + (2*t^7.741)/y + t^7.934/y + (2*t^8.032)/y + t^8.131/y + t^8.225/y + (3*t^8.323)/y + (3*t^8.516)/y + t^8.614/y + t^8.709/y + (2*t^8.807)/y + t^8.902/y - t^4.452*y - t^6.58*y - t^6.773*y + t^7.257*y - t^7.355*y + t^7.45*y + 2*t^7.548*y - t^7.647*y + 2*t^7.741*y + t^7.934*y + 2*t^8.032*y + t^8.131*y + t^8.225*y + 3*t^8.323*y + 3*t^8.516*y + t^8.614*y + t^8.709*y + 2*t^8.807*y + t^8.902*y | g1^16*t^2.129 + g1^40*t^2.321 + t^2.42/g1^10 + g1^14*t^2.612 + t^2.904/g1^12 + t^3.195/g1^38 + t^3.388/g1^14 + g1^10*t^3.58 + g1^34*t^3.773 + 2*g1^8*t^4.064 + 2*g1^32*t^4.257 + 2*g1^56*t^4.45 + g1^6*t^4.548 + g1^80*t^4.643 + 2*g1^30*t^4.741 + t^4.839/g1^20 + g1^54*t^4.934 + 2*g1^4*t^5.032 + 2*g1^28*t^5.225 + (2*t^5.323)/g1^22 + 3*g1^2*t^5.516 + 2*g1^26*t^5.709 + t^5.807/g1^24 + 2*g1^50*t^5.902 - t^6. + g1^74*t^6.094 + t^6.098/g1^50 + g1^24*t^6.193 + 4*g1^48*t^6.386 + t^6.39/g1^76 + t^6.484/g1^2 + 3*g1^72*t^6.578 + t^6.582/g1^52 + 3*g1^22*t^6.677 + 2*g1^96*t^6.771 + 3*g1^46*t^6.869 + g1^120*t^6.964 + (3*t^6.968)/g1^4 + 3*g1^70*t^7.062 - t^7.066/g1^54 + 3*g1^20*t^7.161 + g1^94*t^7.255 + 4*g1^44*t^7.353 + (2*t^7.452)/g1^6 + 2*g1^68*t^7.546 + 5*g1^18*t^7.645 + 6*g1^42*t^7.837 + 4*g1^66*t^8.03 + g1^16*t^8.129 + 3*g1^90*t^8.223 + t^8.227/g1^34 + g1^114*t^8.416 + 5*g1^64*t^8.514 + t^8.518/g1^60 - 2*g1^14*t^8.612 + 6*g1^88*t^8.707 + (2*t^8.711)/g1^36 + 2*g1^38*t^8.805 + 4*g1^112*t^8.9 - t^8.904/g1^12 + 5*g1^62*t^8.998 - t^4.452/(g1^6*y) - (g1^10*t^6.58)/y - (g1^34*t^6.773)/y + (g1^32*t^7.257)/y - t^7.355/(g1^18*y) + (g1^56*t^7.45)/y + (2*g1^6*t^7.548)/y - t^7.647/(g1^44*y) + (2*g1^30*t^7.741)/y + (g1^54*t^7.934)/y + (2*g1^4*t^8.032)/y + t^8.131/(g1^46*y) + (g1^28*t^8.225)/y + (3*t^8.323)/(g1^22*y) + (3*g1^2*t^8.516)/y + t^8.614/(g1^48*y) + (g1^26*t^8.709)/y + (2*t^8.807)/(g1^24*y) + (g1^50*t^8.902)/y - (t^4.452*y)/g1^6 - g1^10*t^6.58*y - g1^34*t^6.773*y + g1^32*t^7.257*y - (t^7.355*y)/g1^18 + g1^56*t^7.45*y + 2*g1^6*t^7.548*y - (t^7.647*y)/g1^44 + 2*g1^30*t^7.741*y + g1^54*t^7.934*y + 2*g1^4*t^8.032*y + (t^8.131*y)/g1^46 + g1^28*t^8.225*y + (3*t^8.323*y)/g1^22 + 3*g1^2*t^8.516*y + (t^8.614*y)/g1^48 + g1^26*t^8.709*y + (2*t^8.807*y)/g1^24 + g1^50*t^8.902*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 |
|---|---|---|---|---|---|---|---|---|
| 58809 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6646 | 0.8434 | 0.788 | [M:[1.1898, 1.0789, 0.8102, 0.8657, 1.1343, 0.759, 0.7036, 1.0277], q:[0.4328, 0.3774], qb:[0.4882, 0.7569], phi:[0.4861]] | t^2.111 + t^2.277 + t^2.431 + t^2.597 + t^3.083 + t^3.237 + t^3.403 + t^3.569 + t^3.735 + 2*t^4.055 + 2*t^4.222 + 2*t^4.388 + t^4.542 + t^4.554 + 2*t^4.708 + t^4.861 + t^4.874 + t^5.028 + 2*t^5.194 + t^5.348 + t^5.36 + 3*t^5.514 + 3*t^5.68 + 2*t^5.846 - t^6. - t^4.458/y - t^4.458*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.45/y - t^4.45*y | detail |