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 |
|---|---|---|---|---|---|---|---|---|---|
| 1314 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7332 | 0.912 | 0.804 | [M:[0.8602, 1.0699, 1.0, 1.0, 0.8602, 1.0, 0.6748], q:[0.5699, 0.5699], qb:[0.4301, 0.5699], phi:[0.465]] | [M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | -2 | t^2.024 + 2*t^2.581 + 3*t^3. + t^3.21 + t^3.419 + t^4.049 + 3*t^4.395 + 2*t^4.605 + 6*t^4.815 + 3*t^5.024 + 3*t^5.161 + t^5.234 + t^5.444 + 3*t^5.581 + 2*t^5.79 - 2*t^6. + t^6.073 + 3*t^6.21 + 3*t^6.419 + 3*t^6.629 + 7*t^6.839 + 3*t^6.976 + 3*t^7.049 + 2*t^7.185 + t^7.258 + 9*t^7.395 + t^7.468 + 3*t^7.605 + 4*t^7.742 + 11*t^7.815 - 2*t^8.024 + t^8.097 + 3*t^8.161 + 6*t^8.234 + 3*t^8.371 + 3*t^8.444 - 8*t^8.581 + 3*t^8.653 + 3*t^8.79 + 7*t^8.863 - t^4.395/y - t^6.419/y - (2*t^6.976)/y + (2*t^7.605)/y + (2*t^7.815)/y + (3*t^8.024)/y + t^8.161/y + t^8.234/y + t^8.371/y + (6*t^8.581)/y + (2*t^8.79)/y - t^4.395*y - t^6.419*y - 2*t^6.976*y + 2*t^7.605*y + 2*t^7.815*y + 3*t^8.024*y + t^8.161*y + t^8.234*y + t^8.371*y + 6*t^8.581*y + 2*t^8.79*y | t^2.024/g1^5 + (g1^2*t^2.581)/g2 + g1^6*g2*t^2.581 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^3.21/g1^2 + t^3.419/g1^4 + t^4.049/g1^10 + g1*t^4.395 + t^4.395/(g1*g2) + g1^3*g2*t^4.395 + t^4.605/(g1^3*g2) + g1*g2*t^4.605 + (2*t^4.815)/g1^3 + t^4.815/(g1^7*g2^2) + t^4.815/(g1^5*g2) + (g2*t^4.815)/g1 + g1*g2^2*t^4.815 + t^5.024/g1^5 + t^5.024/(g1^7*g2) + (g2*t^5.024)/g1^3 + g1^8*t^5.161 + (g1^4*t^5.161)/g2^2 + g1^12*g2^2*t^5.161 + t^5.234/g1^7 + t^5.444/g1^9 + g1^4*t^5.581 + t^5.581/g2^2 + g1^8*g2^2*t^5.581 + t^5.79/g2 + g1^4*g2*t^5.79 - 2*t^6. + t^6.073/g1^15 + t^6.21/g1^2 + t^6.21/(g1^4*g2) + g2*t^6.21 + t^6.419/g1^4 + t^6.419/(g1^6*g2) + (g2*t^6.419)/g1^2 + t^6.629/g1^6 + t^6.629/(g1^8*g2) + (g2*t^6.629)/g1^4 + (3*t^6.839)/g1^8 + t^6.839/(g1^12*g2^2) + t^6.839/(g1^10*g2) + (g2*t^6.839)/g1^6 + (g2^2*t^6.839)/g1^4 + g1^5*t^6.976 + (g1*t^6.976)/g2^2 + g1^9*g2^2*t^6.976 + t^7.049/g1^10 + t^7.049/(g1^12*g2) + (g2*t^7.049)/g1^8 + t^7.185/(g1*g2^2) + g1^7*g2^2*t^7.185 + t^7.258/g1^12 + g1*t^7.395 + t^7.395/(g1^5*g2^3) + t^7.395/(g1^3*g2^2) + (2*t^7.395)/(g1*g2) + 2*g1^3*g2*t^7.395 + g1^5*g2^2*t^7.395 + g1^7*g2^3*t^7.395 + t^7.468/g1^14 + t^7.605/g1 + t^7.605/(g1^5*g2^2) + g1^3*g2^2*t^7.605 + (g1^6*t^7.742)/g2^3 + (g1^10*t^7.742)/g2 + g1^14*g2*t^7.742 + g1^18*g2^3*t^7.742 + t^7.815/g1^3 + t^7.815/(g1^9*g2^3) + t^7.815/(g1^7*g2^2) + (3*t^7.815)/(g1^5*g2) + (3*g2*t^7.815)/g1 + g1*g2^2*t^7.815 + g1^3*g2^3*t^7.815 - (2*t^8.024)/g1^5 + t^8.097/g1^20 - g1^8*t^8.161 + (g1^2*t^8.161)/g2^3 + (g1^6*t^8.161)/g2 + g1^10*g2*t^8.161 + g1^14*g2^3*t^8.161 + (2*t^8.234)/g1^7 + t^8.234/(g1^11*g2^2) + t^8.234/(g1^9*g2) + (g2*t^8.234)/g1^5 + (g2^2*t^8.234)/g1^3 + g1^6*t^8.371 + (g1^2*t^8.371)/g2^2 + g1^10*g2^2*t^8.371 + t^8.444/g1^9 + t^8.444/(g1^11*g2) + (g2*t^8.444)/g1^7 - 2*g1^4*t^8.581 - (3*g1^2*t^8.581)/g2 - 3*g1^6*g2*t^8.581 + t^8.653/g1^11 + t^8.653/(g1^13*g2) + (g2*t^8.653)/g1^9 + g1^2*t^8.79 + t^8.79/(g1^2*g2^2) + g1^6*g2^2*t^8.79 + (3*t^8.863)/g1^13 + t^8.863/(g1^17*g2^2) + t^8.863/(g1^15*g2) + (g2*t^8.863)/g1^11 + (g2^2*t^8.863)/g1^9 - (g1*t^4.395)/y - t^6.419/(g1^4*y) - (g1^3*t^6.976)/(g2*y) - (g1^7*g2*t^6.976)/y + t^7.605/(g1^3*g2*y) + (g1*g2*t^7.605)/y + t^7.815/(g1^5*g2*y) + (g2*t^7.815)/(g1*y) + t^8.024/(g1^5*y) + t^8.024/(g1^7*g2*y) + (g2*t^8.024)/(g1^3*y) + (g1^8*t^8.161)/y + t^8.234/(g1^7*y) + (g1^6*t^8.371)/y + (2*g1^4*t^8.581)/y + t^8.581/(g2^2*y) + (g1^2*t^8.581)/(g2*y) + (g1^6*g2*t^8.581)/y + (g1^8*g2^2*t^8.581)/y + t^8.79/(g2*y) + (g1^4*g2*t^8.79)/y - g1*t^4.395*y - (t^6.419*y)/g1^4 - (g1^3*t^6.976*y)/g2 - g1^7*g2*t^6.976*y + (t^7.605*y)/(g1^3*g2) + g1*g2*t^7.605*y + (t^7.815*y)/(g1^5*g2) + (g2*t^7.815*y)/g1 + (t^8.024*y)/g1^5 + (t^8.024*y)/(g1^7*g2) + (g2*t^8.024*y)/g1^3 + g1^8*t^8.161*y + (t^8.234*y)/g1^7 + g1^6*t^8.371*y + 2*g1^4*t^8.581*y + (t^8.581*y)/g2^2 + (g1^2*t^8.581*y)/g2 + g1^6*g2*t^8.581*y + g1^8*g2^2*t^8.581*y + (t^8.79*y)/g2 + g1^4*g2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 2358 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.7345 | 0.915 | 0.8027 | [M:[0.8326, 1.0699, 1.0276, 0.9724, 0.8878, 1.0, 0.6748, 0.9724], q:[0.5975, 0.5699], qb:[0.4301, 0.5423], phi:[0.465]] | t^2.024 + t^2.498 + t^2.663 + 2*t^2.917 + t^3. + t^3.21 + t^3.419 + t^4.049 + t^4.312 + t^4.395 + t^4.478 + t^4.522 + t^4.649 + t^4.688 + t^4.732 + 2*t^4.815 + t^4.897 + 2*t^4.942 + t^4.98 + t^4.996 + t^5.024 + t^5.161 + t^5.234 + t^5.327 + 2*t^5.415 + t^5.444 + t^5.581 + t^5.708 + 2*t^5.834 + t^5.873 + t^5.917 - 3*t^6. - t^4.395/y - t^4.395*y | detail | |
| 2355 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5744 | 0.7027 | 0.8173 | [X:[1.5892], M:[0.4108, 1.1784, 1.2324, 0.7676, 0.8757, 1.0, 0.9459], q:[0.9108, 0.6784], qb:[0.3216, 0.4459], phi:[0.4108]] | t^2.303 + t^2.627 + t^2.838 + t^3. + 2*t^3.535 + t^3.697 + t^3.908 + t^4.07 + t^4.605 + t^4.768 + t^4.93 + t^5.141 + t^5.254 + t^5.303 + t^5.676 + 2*t^5.838 - t^6. - t^4.232/y - t^4.232*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 |
|---|---|---|---|---|---|---|---|---|---|
| 830 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ | 0.7124 | 0.8709 | 0.818 | [M:[0.8576, 1.0712, 1.0, 1.0, 0.8576, 1.0], q:[0.5712, 0.5712], qb:[0.4288, 0.5712], phi:[0.4644]] | 2*t^2.573 + 3*t^3. + t^3.214 + t^3.427 + t^3.966 + 3*t^4.393 + 6*t^4.82 + 3*t^5.146 + 3*t^5.573 + 2*t^5.786 - 2*t^6. - t^4.393/y - t^4.393*y | detail |