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 |
|---|---|---|---|---|---|---|---|---|---|
| 1517 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6471 | 0.8081 | 0.8007 | [M:[1.0602, 0.8726, 1.1274, 0.8053, 1.1947, 0.7788], q:[0.5035, 0.4363], qb:[0.369, 0.7584], phi:[0.4832]] | [M:[[-38], [14], [-14], [-10], [10], [40]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$ | ${}$ | -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 |
|---|---|---|---|---|---|---|---|---|
| 2606 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6359 | 0.7886 | 0.8064 | [M:[1.045, 0.8782, 1.1218, 0.8013, 1.1987, 0.7947, 1.1218], q:[0.5159, 0.4391], qb:[0.3622, 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 | |
| 2608 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6586 | 0.8288 | 0.7947 | [M:[1.0747, 0.8672, 1.1328, 0.8091, 1.1909, 0.7635, 0.8672], q:[0.4917, 0.4336], qb:[0.3755, 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 | |
| 2609 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6633 | 0.8362 | 0.7932 | [M:[1.0521, 0.8756, 1.1244, 0.8032, 1.1968, 0.7873, 0.8032], q:[0.5102, 0.4378], qb:[0.3654, 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 980 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ | 0.6303 | 0.778 | 0.8102 | [M:[1.0252, 0.8855, 1.1145, 0.7961, 1.2039], q:[0.5321, 0.4427], qb:[0.3534, 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 |