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 |
|---|---|---|---|---|---|---|---|---|---|
| 593 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ | 0.7215 | 0.8862 | 0.8142 | [M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]] | [M:[[1, 0], [-1, -4], [-1, 0], [1, -4], [0, 0]], q:[[0, 0], [-1, 0]], qb:[[1, 0], [0, 4]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | -2 | 2*t^2.459 + t^2.73 + 3*t^3. + t^3.541 + 6*t^4.365 + 3*t^4.906 + 3*t^4.918 + 2*t^5.189 + t^5.446 + 4*t^5.459 + 3*t^5.73 - 2*t^6. + t^6.27 - t^6.541 + 9*t^6.824 + t^7.082 + 6*t^7.094 + 12*t^7.365 + 4*t^7.378 - 3*t^7.635 + 3*t^7.648 + 5*t^7.906 + 6*t^7.918 - 2*t^8.176 + 4*t^8.189 + 3*t^8.446 - 7*t^8.459 - t^8.717 + 13*t^8.73 + t^8.987 - t^4.365/y - (2*t^6.824)/y - t^7.094/y + t^7.635/y + (2*t^7.906)/y + t^7.918/y + (2*t^8.189)/y + (6*t^8.459)/y + (3*t^8.73)/y - t^4.365*y - 2*t^6.824*y - t^7.094*y + t^7.635*y + 2*t^7.906*y + t^7.918*y + 2*t^8.189*y + 6*t^8.459*y + 3*t^8.73*y | t^2.459/(g1*g2^4) + (g1*t^2.459)/g2^4 + t^2.73/g2^2 + t^3. + t^3./g1 + g1*t^3. + g2^4*t^3.541 + (2*t^4.365)/g2 + t^4.365/(g1^2*g2) + t^4.365/(g1*g2) + (g1*t^4.365)/g2 + (g1^2*t^4.365)/g2 + g2^3*t^4.906 + (g2^3*t^4.906)/g1 + g1*g2^3*t^4.906 + t^4.918/g2^8 + t^4.918/(g1^2*g2^8) + (g1^2*t^4.918)/g2^8 + t^5.189/(g1*g2^6) + (g1*t^5.189)/g2^6 + g2^7*t^5.446 + (2*t^5.459)/g2^4 + t^5.459/(g1^2*g2^4) + (g1^2*t^5.459)/g2^4 + t^5.73/g2^2 + t^5.73/(g1*g2^2) + (g1*t^5.73)/g2^2 - 2*t^6. + g2^2*t^6.27 - g2^4*t^6.541 + t^6.824/g2^5 + t^6.824/(g1^3*g2^5) + t^6.824/(g1^2*g2^5) + (2*t^6.824)/(g1*g2^5) + (2*g1*t^6.824)/g2^5 + (g1^2*t^6.824)/g2^5 + (g1^3*t^6.824)/g2^5 + g2^8*t^7.082 + (2*t^7.094)/g2^3 + t^7.094/(g1^2*g2^3) + t^7.094/(g1*g2^3) + (g1*t^7.094)/g2^3 + (g1^2*t^7.094)/g2^3 + (2*t^7.365)/g2 + t^7.365/(g1^3*g2) + (2*t^7.365)/(g1^2*g2) + (2*t^7.365)/(g1*g2) + (2*g1*t^7.365)/g2 + (2*g1^2*t^7.365)/g2 + (g1^3*t^7.365)/g2 + t^7.378/(g1^3*g2^12) + t^7.378/(g1*g2^12) + (g1*t^7.378)/g2^12 + (g1^3*t^7.378)/g2^12 - g2*t^7.635 - (g2*t^7.635)/g1^2 - g1^2*g2*t^7.635 + t^7.648/g2^10 + t^7.648/(g1^2*g2^10) + (g1^2*t^7.648)/g2^10 + g2^3*t^7.906 + (g2^3*t^7.906)/g1^2 + (g2^3*t^7.906)/g1 + g1*g2^3*t^7.906 + g1^2*g2^3*t^7.906 + t^7.918/(g1^3*g2^8) + (2*t^7.918)/(g1*g2^8) + (2*g1*t^7.918)/g2^8 + (g1^3*t^7.918)/g2^8 - (g2^5*t^8.176)/g1 - g1*g2^5*t^8.176 + (2*t^8.189)/g2^6 + t^8.189/(g1^2*g2^6) + (g1^2*t^8.189)/g2^6 + g2^7*t^8.446 + (g2^7*t^8.446)/g1 + g1*g2^7*t^8.446 - t^8.459/g2^4 - t^8.459/(g1^2*g2^4) - (2*t^8.459)/(g1*g2^4) - (2*g1*t^8.459)/g2^4 - (g1^2*t^8.459)/g2^4 - g2^9*t^8.717 + t^8.73/g2^2 + t^8.73/(g1^4*g2^2) + t^8.73/(g1^3*g2^2) + (2*t^8.73)/(g1^2*g2^2) + (2*t^8.73)/(g1*g2^2) + (2*g1*t^8.73)/g2^2 + (2*g1^2*t^8.73)/g2^2 + (g1^3*t^8.73)/g2^2 + (g1^4*t^8.73)/g2^2 + g2^11*t^8.987 - t^4.365/(g2*y) - t^6.824/(g1*g2^5*y) - (g1*t^6.824)/(g2^5*y) - t^7.094/(g2^3*y) + (g2*t^7.635)/y + (g2^3*t^7.906)/(g1*y) + (g1*g2^3*t^7.906)/y + t^7.918/(g2^8*y) + t^8.189/(g1*g2^6*y) + (g1*t^8.189)/(g2^6*y) + (2*t^8.459)/(g2^4*y) + t^8.459/(g1^2*g2^4*y) + t^8.459/(g1*g2^4*y) + (g1*t^8.459)/(g2^4*y) + (g1^2*t^8.459)/(g2^4*y) + t^8.73/(g2^2*y) + t^8.73/(g1*g2^2*y) + (g1*t^8.73)/(g2^2*y) - (t^4.365*y)/g2 - (t^6.824*y)/(g1*g2^5) - (g1*t^6.824*y)/g2^5 - (t^7.094*y)/g2^3 + g2*t^7.635*y + (g2^3*t^7.906*y)/g1 + g1*g2^3*t^7.906*y + (t^7.918*y)/g2^8 + (t^8.189*y)/(g1*g2^6) + (g1*t^8.189*y)/g2^6 + (2*t^8.459*y)/g2^4 + (t^8.459*y)/(g1^2*g2^4) + (t^8.459*y)/(g1*g2^4) + (g1*t^8.459*y)/g2^4 + (g1^2*t^8.459*y)/g2^4 + (t^8.73*y)/g2^2 + (t^8.73*y)/(g1*g2^2) + (g1*t^8.73*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 933 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ | 0.7226 | 0.8888 | 0.8131 | [M:[1.0234, 0.7968, 0.9766, 0.8437, 1.0, 0.9766], q:[0.5, 0.4766], qb:[0.5234, 0.6798], phi:[0.4551]] | t^2.39 + t^2.531 + t^2.73 + 2*t^2.93 + t^3. + t^3.539 + t^4.225 + t^4.295 + 2*t^4.365 + t^4.435 + t^4.506 + t^4.781 + t^4.834 + t^4.904 + t^4.921 + t^4.975 + t^5.062 + t^5.121 + t^5.261 + 2*t^5.32 + t^5.444 + 2*t^5.461 + 2*t^5.66 + t^5.73 + 2*t^5.859 + t^5.93 - 3*t^6. - t^4.365/y - t^4.365*y | detail | |
| 930 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6972 | 0.855 | 0.8154 | [M:[0.949, 1.017, 1.051, 0.915, 1.0], q:[0.5, 0.551], qb:[0.449, 0.534], phi:[0.4915]] | t^2.745 + t^2.847 + t^2.949 + t^3. + t^3.051 + t^3.102 + t^3.153 + t^4.169 + t^4.322 + t^4.424 + 2*t^4.475 + t^4.576 + t^4.627 + t^4.678 + t^4.729 + t^4.78 + t^5.49 + t^5.592 + t^5.694 + 2*t^5.796 + 2*t^5.898 + t^5.949 - t^6. - t^4.475/y - t^4.475*y | detail | |
| 932 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7378 | 0.9171 | 0.8045 | [M:[1.0, 0.7895, 1.0, 0.7895, 1.0, 0.7895], q:[0.5, 0.5], qb:[0.5, 0.7105], phi:[0.4474]] | 3*t^2.368 + t^2.684 + 3*t^3. + 6*t^4.342 + 6*t^4.737 + 3*t^4.974 + 3*t^5.053 + 7*t^5.368 + t^5.605 + 3*t^5.684 - 4*t^6. - t^4.342/y - t^4.342*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 |
|---|---|---|---|---|---|---|---|---|---|
| 369 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ | 0.7466 | 0.9183 | 0.813 | [M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*y | detail |