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 |
|---|---|---|---|---|---|---|---|---|---|
| 3666 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6247 | 0.8113 | 0.77 | [M:[1.0, 1.0138, 0.9724, 0.7396, 0.7258, 1.0276], q:[0.7535, 0.2465], qb:[0.5069, 0.5207], phi:[0.4931]] | [M:[[0], [4], [-8], [-3], [-7], [8]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0 | t^2.177 + t^2.219 + t^2.26 + t^2.302 + t^2.959 + t^3. + t^3.041 + t^3.083 + t^3.74 + t^3.781 + t^4.355 + t^4.396 + 2*t^4.438 + 2*t^4.479 + 3*t^4.521 + 2*t^4.562 + 2*t^4.604 + t^5.136 + t^5.177 + 2*t^5.219 + 4*t^5.26 + 3*t^5.302 + 2*t^5.343 + t^5.385 + 2*t^5.917 + t^5.959 + 2*t^6.041 + 2*t^6.083 + t^6.124 + t^6.166 + t^6.532 + t^6.574 + 2*t^6.615 + 2*t^6.657 + 3*t^6.698 + 4*t^6.74 + 4*t^6.781 + 4*t^6.823 + 3*t^6.864 + 2*t^6.906 + t^7.313 + t^7.355 + 2*t^7.396 + 3*t^7.438 + 4*t^7.479 + 4*t^7.521 + 6*t^7.562 + 5*t^7.604 + 3*t^7.645 + 2*t^7.687 + 2*t^8.094 + t^8.136 - t^8.177 + t^8.302 + 4*t^8.343 + 4*t^8.385 + 2*t^8.426 + t^8.468 + t^8.71 + t^8.751 + 2*t^8.793 + 2*t^8.834 + 5*t^8.876 + 3*t^8.917 + 2*t^8.959 - t^4.479/y - t^6.657/y - t^6.698/y + t^7.396/y + t^7.438/y + (2*t^7.479)/y + t^7.521/y + t^7.562/y + t^8.136/y + (2*t^8.177)/y + (3*t^8.219)/y + (5*t^8.26)/y + (4*t^8.302)/y + (2*t^8.343)/y + t^8.385/y - t^8.834/y - t^8.876/y + (3*t^8.959)/y - t^4.479*y - t^6.657*y - t^6.698*y + t^7.396*y + t^7.438*y + 2*t^7.479*y + t^7.521*y + t^7.562*y + t^8.136*y + 2*t^8.177*y + 3*t^8.219*y + 5*t^8.26*y + 4*t^8.302*y + 2*t^8.343*y + t^8.385*y - t^8.834*y - t^8.876*y + 3*t^8.959*y | t^2.177/g1^7 + t^2.219/g1^3 + g1*t^2.26 + g1^5*t^2.302 + t^2.959/g1^4 + t^3. + g1^4*t^3.041 + g1^8*t^3.083 + t^3.74/g1 + g1^3*t^3.781 + t^4.355/g1^14 + t^4.396/g1^10 + (2*t^4.438)/g1^6 + (2*t^4.479)/g1^2 + 3*g1^2*t^4.521 + 2*g1^6*t^4.562 + 2*g1^10*t^4.604 + t^5.136/g1^11 + t^5.177/g1^7 + (2*t^5.219)/g1^3 + 4*g1*t^5.26 + 3*g1^5*t^5.302 + 2*g1^9*t^5.343 + g1^13*t^5.385 + (2*t^5.917)/g1^8 + t^5.959/g1^4 + 2*g1^4*t^6.041 + 2*g1^8*t^6.083 + g1^12*t^6.124 + g1^16*t^6.166 + t^6.532/g1^21 + t^6.574/g1^17 + (2*t^6.615)/g1^13 + (2*t^6.657)/g1^9 + (3*t^6.698)/g1^5 + (4*t^6.74)/g1 + 4*g1^3*t^6.781 + 4*g1^7*t^6.823 + 3*g1^11*t^6.864 + 2*g1^15*t^6.906 + t^7.313/g1^18 + t^7.355/g1^14 + (2*t^7.396)/g1^10 + (3*t^7.438)/g1^6 + (4*t^7.479)/g1^2 + 4*g1^2*t^7.521 + 6*g1^6*t^7.562 + 5*g1^10*t^7.604 + 3*g1^14*t^7.645 + 2*g1^18*t^7.687 + (2*t^8.094)/g1^15 + t^8.136/g1^11 - t^8.177/g1^7 + g1^5*t^8.302 + 4*g1^9*t^8.343 + 4*g1^13*t^8.385 + 2*g1^17*t^8.426 + g1^21*t^8.468 + t^8.71/g1^28 + t^8.751/g1^24 + (2*t^8.793)/g1^20 + (2*t^8.834)/g1^16 + (5*t^8.876)/g1^12 + (3*t^8.917)/g1^8 + (2*t^8.959)/g1^4 - t^4.479/(g1^2*y) - t^6.657/(g1^9*y) - t^6.698/(g1^5*y) + t^7.396/(g1^10*y) + t^7.438/(g1^6*y) + (2*t^7.479)/(g1^2*y) + (g1^2*t^7.521)/y + (g1^6*t^7.562)/y + t^8.136/(g1^11*y) + (2*t^8.177)/(g1^7*y) + (3*t^8.219)/(g1^3*y) + (5*g1*t^8.26)/y + (4*g1^5*t^8.302)/y + (2*g1^9*t^8.343)/y + (g1^13*t^8.385)/y - t^8.834/(g1^16*y) - t^8.876/(g1^12*y) + (3*t^8.959)/(g1^4*y) - (t^4.479*y)/g1^2 - (t^6.657*y)/g1^9 - (t^6.698*y)/g1^5 + (t^7.396*y)/g1^10 + (t^7.438*y)/g1^6 + (2*t^7.479*y)/g1^2 + g1^2*t^7.521*y + g1^6*t^7.562*y + (t^8.136*y)/g1^11 + (2*t^8.177*y)/g1^7 + (3*t^8.219*y)/g1^3 + 5*g1*t^8.26*y + 4*g1^5*t^8.302*y + 2*g1^9*t^8.343*y + g1^13*t^8.385*y - (t^8.834*y)/g1^16 - (t^8.876*y)/g1^12 + (3*t^8.959*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3936 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6442 | 0.847 | 0.7605 | [M:[1.0, 1.0179, 0.9643, 0.7366, 0.7187, 1.0357, 0.7366], q:[0.7545, 0.2455], qb:[0.5089, 0.5268], phi:[0.4911]] | t^2.156 + 2*t^2.21 + t^2.263 + t^2.317 + t^2.946 + t^3. + t^3.054 + t^3.107 + t^3.737 + t^4.312 + 2*t^4.366 + 4*t^4.42 + 3*t^4.473 + 4*t^4.527 + 2*t^4.58 + 2*t^4.634 + t^5.103 + 2*t^5.156 + 3*t^5.21 + 5*t^5.263 + 4*t^5.317 + 2*t^5.371 + t^5.424 + 2*t^5.893 + t^5.946 - t^6. - t^4.473/y - t^4.473*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3245 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6298 | 0.8198 | 0.7682 | [M:[1.0, 1.0409, 0.9182, 0.7193, 0.6784], q:[0.7602, 0.2398], qb:[0.5205, 0.5614], phi:[0.4795]] | t^2.035 + t^2.158 + t^2.281 + t^2.403 + t^2.755 + t^2.877 + t^3. + t^3.123 + t^3.719 + t^3.842 + t^4.071 + t^4.193 + 2*t^4.316 + 2*t^4.439 + 3*t^4.561 + 2*t^4.684 + t^4.79 + 2*t^4.807 + 2*t^4.913 + 2*t^5.035 + 3*t^5.158 + 3*t^5.281 + 2*t^5.403 + t^5.509 + t^5.526 + t^5.632 + 3*t^5.755 + 2*t^5.877 - t^4.439/y - t^4.439*y | detail |