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 |
|---|---|---|---|---|---|---|---|---|---|
| 262 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | [M:[[-7, 1], [4, 0], [-11, -1], [6, 0]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | -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 | g1^6*t^2.042 + t^2.639/g1^4 + t^2.937/(g1^11*g2) + (g2*t^2.937)/g1^7 + g1^4*t^3.361 + t^3.66/(g1^3*g2) + g1*g2*t^3.66 + t^3.958/(g1^10*g2^2) + (g2^2*t^3.958)/g1^2 + 2*g1^12*t^4.084 + (g1^5*t^4.382)/g2 + g1^9*g2*t^4.382 + g1^2*t^4.681 + g1^20*t^4.807 + t^4.979/(g1^5*g2) + (g2*t^4.979)/g1 + t^5.277/g1^8 + g1^10*t^5.403 + (g1^3*t^5.702)/g2 + g1^7*g2*t^5.702 + t^5.874/g1^18 + t^5.874/(g1^22*g2^2) + (g2^2*t^5.874)/g1^14 - 2*t^6. + 2*g1^18*t^6.126 + t^6.298/(g1^7*g2) + (g2*t^6.298)/g1^3 + t^6.597/g1^10 + (2*t^6.597)/(g1^14*g2^2) + (2*g2^2*t^6.597)/g1^6 + g1^8*t^6.723 + g1^26*t^6.849 + t^6.895/(g1^21*g2^3) + (g2^3*t^6.895)/g1^9 + (2*g1*t^7.021)/g2 + 2*g1^5*g2*t^7.021 + t^7.319/g1^2 + t^7.319/(g1^6*g2^2) + g1^2*g2^2*t^7.319 + 2*g1^16*t^7.445 + t^7.618/(g1^13*g2^3) + (g2^3*t^7.618)/g1 + (2*g1^9*t^7.744)/g2 + 2*g1^13*g2*t^7.744 + (2*t^7.916)/g1^12 + t^7.916/(g1^20*g2^4) + t^7.916/(g1^16*g2^2) + (g2^2*t^7.916)/g1^8 + (g2^4*t^7.916)/g1^4 - 2*g1^6*t^8.042 + (g1^2*t^8.042)/g2^2 + g1^10*g2^2*t^8.042 + 3*g1^24*t^8.168 + t^8.34/(g1^5*g2^3) + g1^7*g2^3*t^8.34 + (g1^17*t^8.467)/g2 + g1^21*g2*t^8.467 - t^8.639/g1^4 + t^8.639/(g1^8*g2^2) + g2^2*t^8.639 + (g1^10*t^8.765)/g2^2 + g1^18*g2^2*t^8.765 + t^8.811/(g1^33*g2^3) + t^8.811/(g1^29*g2) + (g2*t^8.811)/g1^25 + (g2^3*t^8.811)/g1^21 + 2*g1^32*t^8.891 - (3*t^8.937)/(g1^11*g2) - (3*g2*t^8.937)/g1^7 - t^4.319/(g1^2*y) - (g1^4*t^6.361)/y - t^7.256/(g1^13*g2*y) - (g2*t^7.256)/(g1^9*y) + (g1^5*t^7.382)/(g2*y) + (g1^9*g2*t^7.382)/y + (g1^2*t^7.681)/y + t^7.979/(g1^5*g2*y) + (g2*t^7.979)/(g1*y) + t^8.277/(g1^8*y) + t^8.576/(g1^15*g2*y) + (g2*t^8.576)/(g1^11*y) + (g1^3*t^8.702)/(g2*y) + (g1^7*g2*t^8.702)/y + t^8.874/(g1^18*y) - (t^4.319*y)/g1^2 - g1^4*t^6.361*y - (t^7.256*y)/(g1^13*g2) - (g2*t^7.256*y)/g1^9 + (g1^5*t^7.382*y)/g2 + g1^9*g2*t^7.382*y + g1^2*t^7.681*y + (t^7.979*y)/(g1^5*g2) + (g2*t^7.979*y)/g1 + (t^8.277*y)/g1^8 + (t^8.576*y)/(g1^15*g2) + (g2*t^8.576*y)/g1^11 + (g1^3*t^8.702*y)/g2 + g1^7*g2*t^8.702*y + (t^8.874*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 410 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.67 | 0.8227 | 0.8144 | [M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], 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 | |
| 413 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.63 | 0.78 | 0.8077 | [M:[0.8, 1.2, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 63/100, c: 39/50, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
| 411 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6814 | 0.8416 | 0.8096 | [M:[0.9657, 1.1263, 0.9657, 0.6895, 0.8737], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], 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 | |
| 414 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6566 | 0.8083 | 0.8123 | [M:[0.8549, 1.1451, 0.9921, 0.7177], q:[0.7863, 0.496], qb:[0.6491, 0.3588], phi:[0.4274]] | t^2.153 + 2*t^2.565 + t^2.976 + 3*t^3.435 + t^3.847 + t^4.259 + 3*t^4.306 + 3*t^4.718 + 3*t^5.129 + t^5.177 + t^5.541 + 2*t^5.588 + t^5.953 + 3*t^6. - t^4.282/y - t^4.282*y | detail | |
| 415 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6912 | 0.864 | 0.8 | [M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], 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 | |
| 412 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6883 | 0.8554 | 0.8047 | [M:[0.9936, 1.1195, 0.9686, 0.6793, 0.7674], q:[0.7799, 0.4277], qb:[0.5787, 0.4528], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 169 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6496 | 0.7822 | 0.8305 | [M:[0.9769, 1.1214, 0.9769], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], 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 |