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 |
|---|---|---|---|---|---|---|---|---|---|
| 208 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5895 | 0.742 | 0.7945 | [M:[1.0, 1.0406, 0.9189], q:[0.7601, 0.2399], qb:[0.5406, 0.5406], phi:[0.4797]] | [M:[[0, 0], [4, 4], [-8, -8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}M_{3}$ | ${}$ | -4 | 2*t^2.341 + t^2.757 + t^2.878 + t^3. + t^3.122 + 2*t^3.78 + 2*t^3.902 + 6*t^4.683 + 2*t^5.22 + 2*t^5.341 + 2*t^5.463 + t^5.513 + t^5.635 + 2*t^5.757 + t^5.878 - 4*t^6. + 4*t^6.122 + 4*t^6.243 + 2*t^6.659 + 10*t^7.024 - 2*t^7.439 + 4*t^7.561 + 6*t^7.683 + 6*t^7.804 + 2*t^8.098 + t^8.27 - 10*t^8.341 + t^8.392 + 8*t^8.463 + 2*t^8.513 + 10*t^8.585 + 2*t^8.635 - t^8.757 - 5*t^8.878 - t^4.439/y - t^7.196/y + (2*t^7.683)/y + (2*t^8.098)/y + (2*t^8.22)/y + (2*t^8.341)/y + (2*t^8.463)/y + t^8.635/y + t^8.757/y + (2*t^8.878)/y - t^4.439*y - t^7.196*y + 2*t^7.683*y + 2*t^8.098*y + 2*t^8.22*y + 2*t^8.341*y + 2*t^8.463*y + t^8.635*y + t^8.757*y + 2*t^8.878*y | (g1^7*t^2.341)/g2 + (g2^7*t^2.341)/g1 + t^2.757/(g1^8*g2^8) + t^2.878/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.122 + (g1^5*t^3.78)/g2^3 + (g2^5*t^3.78)/g1^3 + g1^9*g2*t^3.902 + g1*g2^9*t^3.902 + (2*g1^14*t^4.683)/g2^2 + 2*g1^6*g2^6*t^4.683 + (2*g2^14*t^4.683)/g1^2 + (g1^3*t^5.22)/g2^5 + (g2^3*t^5.22)/g1^5 + (g1^7*t^5.341)/g2 + (g2^7*t^5.341)/g1 + g1^11*g2^3*t^5.463 + g1^3*g2^11*t^5.463 + t^5.513/(g1^16*g2^16) + t^5.635/(g1^12*g2^12) + (2*t^5.757)/(g1^8*g2^8) + t^5.878/(g1^4*g2^4) - 2*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.122)/g2^4 + 2*g1^4*g2^4*t^6.122 + (g2^12*t^6.122)/g1^4 + g1^16*t^6.243 + 2*g1^8*g2^8*t^6.243 + g2^16*t^6.243 + (g1*t^6.659)/g2^7 + (g2*t^6.659)/g1^7 + (2*g1^21*t^7.024)/g2^3 + 3*g1^13*g2^5*t^7.024 + 3*g1^5*g2^13*t^7.024 + (2*g2^21*t^7.024)/g1^3 - (2*t^7.439)/(g1^2*g2^2) + (2*g1^10*t^7.561)/g2^6 + (2*g2^10*t^7.561)/g1^6 + (2*g1^14*t^7.683)/g2^2 + 2*g1^6*g2^6*t^7.683 + (2*g2^14*t^7.683)/g1^2 + 2*g1^18*g2^2*t^7.804 + 2*g1^10*g2^10*t^7.804 + 2*g1^2*g2^18*t^7.804 + t^8.098/(g1*g2^9) + t^8.098/(g1^9*g2) + t^8.27/(g1^24*g2^24) - (g1^15*t^8.341)/g2^9 - (4*g1^7*t^8.341)/g2 - (4*g2^7*t^8.341)/g1 - (g2^15*t^8.341)/g1^9 + t^8.392/(g1^20*g2^20) + (2*g1^19*t^8.463)/g2^5 + 2*g1^11*g2^3*t^8.463 + 2*g1^3*g2^11*t^8.463 + (2*g2^19*t^8.463)/g1^5 + (2*t^8.513)/(g1^16*g2^16) + (2*g1^23*t^8.585)/g2 + 3*g1^15*g2^7*t^8.585 + 3*g1^7*g2^15*t^8.585 + (2*g2^23*t^8.585)/g1 + (2*t^8.635)/(g1^12*g2^12) - t^8.757/(g1^8*g2^8) - (g1^4*t^8.878)/g2^12 - (3*t^8.878)/(g1^4*g2^4) - (g2^4*t^8.878)/g1^12 - t^4.439/(g1^2*g2^2*y) - t^7.196/(g1^10*g2^10*y) + (2*g1^6*g2^6*t^7.683)/y + t^8.098/(g1*g2^9*y) + t^8.098/(g1^9*g2*y) + (g1^3*t^8.22)/(g2^5*y) + (g2^3*t^8.22)/(g1^5*y) + (g1^7*t^8.341)/(g2*y) + (g2^7*t^8.341)/(g1*y) + (g1^11*g2^3*t^8.463)/y + (g1^3*g2^11*t^8.463)/y + t^8.635/(g1^12*g2^12*y) + t^8.757/(g1^8*g2^8*y) + (2*t^8.878)/(g1^4*g2^4*y) - (t^4.439*y)/(g1^2*g2^2) - (t^7.196*y)/(g1^10*g2^10) + 2*g1^6*g2^6*t^7.683*y + (t^8.098*y)/(g1*g2^9) + (t^8.098*y)/(g1^9*g2) + (g1^3*t^8.22*y)/g2^5 + (g2^3*t^8.22*y)/g1^5 + (g1^7*t^8.341*y)/g2 + (g2^7*t^8.341*y)/g1 + g1^11*g2^3*t^8.463*y + g1^3*g2^11*t^8.463*y + (t^8.635*y)/(g1^12*g2^12) + (t^8.757*y)/(g1^8*g2^8) + (2*t^8.878*y)/(g1^4*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 335 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.5742 | 0.7205 | 0.797 | [M:[1.0, 1.1067, 0.7865], q:[0.7767, 0.2233], qb:[0.6699, 0.5436], phi:[0.4466]] | t^2.301 + t^2.36 + 2*t^2.68 + t^3. + t^3.32 + t^3.64 + t^3.961 + t^4.02 + t^4.34 + 2*t^4.601 + t^4.719 + 3*t^4.98 + t^5.039 + t^5.301 + 5*t^5.36 + 2*t^5.68 + t^5.941 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 334 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6092 | 0.7784 | 0.7826 | [M:[1.0, 1.0424, 0.9152, 0.7291], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]] | t^2.187 + t^2.315 + t^2.376 + t^2.745 + t^2.873 + t^3. + t^3.127 + t^3.751 + t^3.878 + t^3.94 + t^4.375 + t^4.502 + t^4.564 + 2*t^4.629 + 2*t^4.691 + 2*t^4.753 + t^4.933 + t^5.06 + 2*t^5.187 + t^5.249 + 2*t^5.315 + t^5.376 + t^5.442 + t^5.491 + t^5.504 + t^5.618 + 2*t^5.745 + t^5.873 - 2*t^6. - t^4.436/y - t^4.436*y | detail | |
| 333 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.5867 | 0.74 | 0.7929 | [M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]] | 2*t^2.293 + t^2.884 + t^3. + 2*t^3.058 + 2*t^3.764 + 2*t^3.822 + 6*t^4.587 + 2*t^5.293 + 4*t^5.351 + t^5.769 + t^5.884 + t^5.942 - 5*t^6. - t^4.471/y - t^4.471*y | detail | |
| 1735 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6102 | 0.7816 | 0.7806 | [M:[1.0, 1.0442, 0.9116, 0.6905], q:[0.761, 0.239], qb:[0.5484, 0.54], phi:[0.4779]] | t^2.072 + t^2.337 + t^2.362 + t^2.735 + t^2.867 + t^3. + t^3.133 + t^3.771 + t^3.796 + t^3.903 + t^4.143 + t^4.408 + t^4.434 + 2*t^4.674 + 2*t^4.699 + 2*t^4.724 + t^4.806 + t^4.939 + t^5.072 + 2*t^5.204 + t^5.229 + t^5.337 + t^5.362 + t^5.469 + t^5.47 + t^5.495 + t^5.602 + 2*t^5.735 + t^5.842 + 2*t^5.867 - 2*t^6. - t^4.434/y - t^4.434*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 |
|---|---|---|---|---|---|---|---|---|---|
| 127 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6849 | 0.8216 | 0.8337 | [M:[0.689, 1.2094, 0.8921], q:[0.8024, 0.5086], qb:[0.554, 0.554], phi:[0.3953]] | t^2.067 + t^2.676 + 2*t^3.188 + t^3.628 + 2*t^4.069 + t^4.134 + t^4.237 + 2*t^4.374 + 3*t^4.51 + t^4.743 + 2*t^5.255 + t^5.353 + t^5.695 - 5*t^6. - t^4.186/y - t^4.186*y | detail |