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 |
|---|---|---|---|---|---|---|---|---|---|
| 46331 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 0.979, 1.1205, 0.6807], q:[0.5813, 0.4398], qb:[0.4398, 0.7801], phi:[0.4398]] | [M:[[1, -7], [-1, -11], [0, 4], [0, 6]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | -2 | t^2.042 + t^2.639 + 2*t^2.937 + t^3.361 + 2*t^3.66 + 2*t^3.958 + 2*t^4.084 + 2*t^4.382 + t^4.681 + t^4.807 + 2*t^4.979 + t^5.277 + t^5.403 + 2*t^5.702 + 3*t^5.874 - 2*t^6. + 2*t^6.126 + 2*t^6.298 + 5*t^6.597 + t^6.723 + t^6.849 + 2*t^6.895 + 4*t^7.021 + 3*t^7.319 + 2*t^7.445 + 2*t^7.618 + 4*t^7.744 + 6*t^7.916 + 3*t^8.168 + 2*t^8.34 + 2*t^8.467 + t^8.639 + 2*t^8.765 + 4*t^8.811 + 2*t^8.891 - 6*t^8.937 - t^4.319/y - t^6.361/y - (2*t^7.256)/y + (2*t^7.382)/y + t^7.681/y + (2*t^7.979)/y + t^8.277/y + (2*t^8.576)/y + (2*t^8.702)/y + t^8.874/y - t^4.319*y - t^6.361*y - 2*t^7.256*y + 2*t^7.382*y + t^7.681*y + 2*t^7.979*y + t^8.277*y + 2*t^8.576*y + 2*t^8.702*y + t^8.874*y | g2^6*t^2.042 + t^2.639/g2^4 + t^2.937/(g1*g2^11) + (g1*t^2.937)/g2^7 + g2^4*t^3.361 + t^3.66/(g1*g2^3) + g1*g2*t^3.66 + t^3.958/(g1^2*g2^10) + (g1^2*t^3.958)/g2^2 + 2*g2^12*t^4.084 + (g2^5*t^4.382)/g1 + g1*g2^9*t^4.382 + g2^2*t^4.681 + g2^20*t^4.807 + t^4.979/(g1*g2^5) + (g1*t^4.979)/g2 + t^5.277/g2^8 + g2^10*t^5.403 + (g2^3*t^5.702)/g1 + g1*g2^7*t^5.702 + t^5.874/(g1^2*g2^22) + t^5.874/g2^18 + (g1^2*t^5.874)/g2^14 - 2*t^6. + 2*g2^18*t^6.126 + t^6.298/(g1*g2^7) + (g1*t^6.298)/g2^3 + (2*t^6.597)/(g1^2*g2^14) + t^6.597/g2^10 + (2*g1^2*t^6.597)/g2^6 + g2^8*t^6.723 + g2^26*t^6.849 + t^6.895/(g1^3*g2^21) + (g1^3*t^6.895)/g2^9 + (2*g2*t^7.021)/g1 + 2*g1*g2^5*t^7.021 + t^7.319/(g1^2*g2^6) + t^7.319/g2^2 + g1^2*g2^2*t^7.319 + 2*g2^16*t^7.445 + t^7.618/(g1^3*g2^13) + (g1^3*t^7.618)/g2 + (2*g2^9*t^7.744)/g1 + 2*g1*g2^13*t^7.744 + t^7.916/(g1^4*g2^20) + t^7.916/(g1^2*g2^16) + (2*t^7.916)/g2^12 + (g1^2*t^7.916)/g2^8 + (g1^4*t^7.916)/g2^4 + (g2^2*t^8.042)/g1^2 - 2*g2^6*t^8.042 + g1^2*g2^10*t^8.042 + 3*g2^24*t^8.168 + t^8.34/(g1^3*g2^5) + g1^3*g2^7*t^8.34 + (g2^17*t^8.467)/g1 + g1*g2^21*t^8.467 + g1^2*t^8.639 + t^8.639/(g1^2*g2^8) - t^8.639/g2^4 + (g2^10*t^8.765)/g1^2 + g1^2*g2^18*t^8.765 + t^8.811/(g1^3*g2^33) + t^8.811/(g1*g2^29) + (g1*t^8.811)/g2^25 + (g1^3*t^8.811)/g2^21 + 2*g2^32*t^8.891 - (3*t^8.937)/(g1*g2^11) - (3*g1*t^8.937)/g2^7 - t^4.319/(g2^2*y) - (g2^4*t^6.361)/y - t^7.256/(g1*g2^13*y) - (g1*t^7.256)/(g2^9*y) + (g2^5*t^7.382)/(g1*y) + (g1*g2^9*t^7.382)/y + (g2^2*t^7.681)/y + t^7.979/(g1*g2^5*y) + (g1*t^7.979)/(g2*y) + t^8.277/(g2^8*y) + t^8.576/(g1*g2^15*y) + (g1*t^8.576)/(g2^11*y) + (g2^3*t^8.702)/(g1*y) + (g1*g2^7*t^8.702)/y + t^8.874/(g2^18*y) - (t^4.319*y)/g2^2 - g2^4*t^6.361*y - (t^7.256*y)/(g1*g2^13) - (g1*t^7.256*y)/g2^9 + (g2^5*t^7.382*y)/g1 + g1*g2^9*t^7.382*y + g2^2*t^7.681*y + (t^7.979*y)/(g1*g2^5) + (g1*t^7.979*y)/g2 + (t^8.277*y)/g2^8 + (t^8.576*y)/(g1*g2^15) + (g1*t^8.576*y)/g2^11 + (g2^3*t^8.702*y)/g1 + g1*g2^7*t^8.702*y + (t^8.874*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46474 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.67 | 0.8227 | 0.8144 | [M:[0.9824, 1.0, 1.115, 0.6725], q:[0.5663, 0.4513], qb:[0.4337, 0.7788], phi:[0.4425]] | t^2.018 + t^2.655 + t^2.947 + t^3. + t^3.345 + t^3.637 + t^3.69 + t^3.93 + 3*t^4.035 + t^4.327 + t^4.38 + t^4.673 + t^4.725 + t^4.965 + t^5.018 + t^5.31 + t^5.363 + t^5.655 + t^5.708 + t^5.895 + t^5.947 - t^6. - t^4.327/y - t^4.327*y | detail | |
| 46691 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.6814 | 0.8416 | 0.8096 | [M:[0.9657, 0.9657, 1.1263, 0.6895, 0.8737], q:[0.5974, 0.4368], qb:[0.4368, 0.7816], phi:[0.4368]] | t^2.069 + 2*t^2.621 + 2*t^2.897 + 2*t^3.655 + 2*t^3.931 + 2*t^4.137 + 2*t^4.413 + 2*t^4.69 + t^4.895 + 2*t^4.966 + 3*t^5.242 + 2*t^5.518 + 2*t^5.724 + 3*t^5.794 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 46367 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6912 | 0.864 | 0.8 | [M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]] | t^2.025 + t^2.04 + t^2.64 + t^2.933 + t^2.948 + t^3.36 + t^3.653 + t^3.667 + t^3.946 + t^4.05 + t^4.065 + 2*t^4.08 + t^4.372 + t^4.387 + t^4.665 + t^4.68 + t^4.799 + t^4.958 + 2*t^4.973 + t^4.987 + t^5.28 + t^5.385 + t^5.4 + t^5.678 + 2*t^5.693 + t^5.707 + t^5.866 + t^5.881 + t^5.895 + t^5.971 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 46667 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6883 | 0.8554 | 0.8047 | [M:[0.9686, 0.9936, 1.1195, 0.6793, 0.7674], q:[0.5787, 0.4528], qb:[0.4277, 0.7799], phi:[0.4402]] | t^2.038 + t^2.302 + t^2.641 + t^2.906 + t^2.981 + t^3.359 + t^3.623 + t^3.887 + t^4.037 + 2*t^4.076 + 2*t^4.34 + t^4.415 + t^4.604 + t^4.679 + t^4.793 + 2*t^4.944 + t^5.019 + t^5.208 + 2*t^5.283 + t^5.396 + 2*t^5.661 + t^5.811 + t^5.886 + t^5.925 + t^5.962 - 2*t^6. - t^4.321/y - t^4.321*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45948 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6496 | 0.7822 | 0.8305 | [M:[0.9769, 0.9769, 1.1214], q:[0.5838, 0.4393], qb:[0.4393, 0.7803], phi:[0.4393]] | t^2.636 + 2*t^2.931 + t^3.364 + 2*t^3.659 + 3*t^3.954 + t^4.092 + 2*t^4.387 + t^4.821 + t^5.272 + 3*t^5.861 - 4*t^6. - t^4.318/y - t^4.318*y | detail |