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 |
|---|---|---|---|---|---|---|---|---|---|
| 571 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.652 | 0.8312 | 0.7844 | [M:[0.8043, 1.1957, 0.8043, 0.6957, 1.1326], q:[0.75, 0.4457], qb:[0.4217, 0.3826], phi:[0.5]] | [M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.087 + 2*t^2.413 + t^2.485 + t^3. + 2*t^3.398 + t^3.515 + t^3.796 + t^3.985 + t^4.03 + t^4.102 + 2*t^4.174 + 2*t^4.5 + t^4.572 + 3*t^4.826 + 2*t^4.898 + t^4.97 + t^5.087 + 2*t^5.413 + 3*t^5.485 + t^5.602 + 3*t^5.811 + 2*t^5.883 + t^5.928 - 2*t^6. + 2*t^6.209 + 2*t^6.261 + t^6.28 + 2*t^6.398 + 2*t^6.443 + t^6.47 + 2*t^6.515 + 3*t^6.587 + 2*t^6.659 + 3*t^6.796 + 3*t^6.913 + t^6.985 + t^7.03 + t^7.057 - t^7.102 + t^7.174 + 2*t^7.193 + 4*t^7.239 + 2*t^7.311 + 2*t^7.383 + t^7.455 + t^7.5 + t^7.545 + 3*t^7.572 + t^7.591 - t^7.617 + t^7.78 + 3*t^7.826 + 4*t^7.898 + 4*t^7.97 + t^8.061 - 3*t^8.087 + t^8.132 + t^8.159 + t^8.204 + 4*t^8.224 + t^8.276 + 3*t^8.296 + t^8.341 + 3*t^8.348 + 2*t^8.368 - 5*t^8.413 - 2*t^8.485 - t^8.602 + 3*t^8.621 + 2*t^8.674 + 2*t^8.693 + 2*t^8.746 + t^8.765 + 2*t^8.811 + 3*t^8.856 + 4*t^8.883 + 2*t^8.928 + t^8.955 - t^4.5/y - t^6.587/y - t^6.913/y + t^7.102/y + (2*t^7.5)/y + t^7.572/y + t^7.826/y + t^7.898/y + (2*t^8.087)/y + (3*t^8.413)/y + (3*t^8.485)/y + t^8.602/y - t^8.674/y + (4*t^8.811)/y + (3*t^8.883)/y + (2*t^8.928)/y - t^4.5*y - t^6.587*y - t^6.913*y + t^7.102*y + 2*t^7.5*y + t^7.572*y + t^7.826*y + t^7.898*y + 2*t^8.087*y + 3*t^8.413*y + 3*t^8.485*y + t^8.602*y - t^8.674*y + 4*t^8.811*y + 3*t^8.883*y + 2*t^8.928*y | t^2.087/(g1*g2) + 2*g1*g2*t^2.413 + t^2.485/g1 + t^3. + 2*g2*t^3.398 + g1*t^3.515 + g2^2*t^3.796 + t^3.985/g1 + g1^2*t^4.03 + t^4.102/g2 + (2*t^4.174)/(g1^2*g2^2) + 2*t^4.5 + t^4.572/(g1^2*g2) + 3*g1^2*g2^2*t^4.826 + 2*g2*t^4.898 + t^4.97/g1^2 + t^5.087/(g1*g2) + 2*g1*g2*t^5.413 + (3*t^5.485)/g1 + t^5.602/g2 + 3*g1*g2^2*t^5.811 + (2*g2*t^5.883)/g1 + g1^2*g2*t^5.928 - 2*t^6. + 2*g1*g2^3*t^6.209 + (2*t^6.261)/(g1^3*g2^3) + (g2^2*t^6.28)/g1 + 2*g2*t^6.398 + 2*g1^3*g2*t^6.443 + t^6.47/g1^2 + 2*g1*t^6.515 + (3*t^6.587)/(g1*g2) + (2*t^6.659)/(g1^3*g2^2) + 3*g2^2*t^6.796 + 3*g1*g2*t^6.913 + t^6.985/g1 + g1^2*t^7.03 + t^7.057/(g1^3*g2) - t^7.102/g2 + t^7.174/(g1^2*g2^2) + 2*g2^3*t^7.193 + 4*g1^3*g2^3*t^7.239 + 2*g1*g2^2*t^7.311 + (2*g2*t^7.383)/g1 + t^7.455/g1^3 + t^7.5 + g1^3*t^7.545 + (3*t^7.572)/(g1^2*g2) + g2^4*t^7.591 - (g1*t^7.617)/g2 + (g2^2*t^7.78)/g1 + 3*g1^2*g2^2*t^7.826 + 4*g2*t^7.898 + (4*t^7.97)/g1^2 + g1^4*t^8.061 - (3*t^8.087)/(g1*g2) + (g1^2*t^8.132)/g2 + t^8.159/(g1^3*g2^2) + t^8.204/g2^2 + 4*g1^2*g2^3*t^8.224 + t^8.276/(g1^2*g2^3) + 3*g2^2*t^8.296 + g1^3*g2^2*t^8.341 + (3*t^8.348)/(g1^4*g2^4) + (2*g2*t^8.368)/g1^2 - 5*g1*g2*t^8.413 - (2*t^8.485)/g1 - t^8.602/g2 + 3*g1^2*g2^4*t^8.621 + (2*t^8.674)/(g1^2*g2^2) + 2*g2^3*t^8.693 + (2*t^8.746)/(g1^4*g2^3) + (g2^2*t^8.765)/g1^2 + 2*g1*g2^2*t^8.811 + 3*g1^4*g2^2*t^8.856 + (4*g2*t^8.883)/g1 + 2*g1^2*g2*t^8.928 + t^8.955/g1^3 - t^4.5/y - t^6.587/(g1*g2*y) - (g1*g2*t^6.913)/y + t^7.102/(g2*y) + (2*t^7.5)/y + t^7.572/(g1^2*g2*y) + (g1^2*g2^2*t^7.826)/y + (g2*t^7.898)/y + (2*t^8.087)/(g1*g2*y) + (3*g1*g2*t^8.413)/y + (3*t^8.485)/(g1*y) + t^8.602/(g2*y) - t^8.674/(g1^2*g2^2*y) + (4*g1*g2^2*t^8.811)/y + (3*g2*t^8.883)/(g1*y) + (2*g1^2*g2*t^8.928)/y - t^4.5*y - (t^6.587*y)/(g1*g2) - g1*g2*t^6.913*y + (t^7.102*y)/g2 + 2*t^7.5*y + (t^7.572*y)/(g1^2*g2) + g1^2*g2^2*t^7.826*y + g2*t^7.898*y + (2*t^8.087*y)/(g1*g2) + 3*g1*g2*t^8.413*y + (3*t^8.485*y)/g1 + (t^8.602*y)/g2 - (t^8.674*y)/(g1^2*g2^2) + 4*g1*g2^2*t^8.811*y + (3*g2*t^8.883*y)/g1 + 2*g1^2*g2*t^8.928*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 |
|---|---|---|---|---|---|---|---|---|
| 887 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6728 | 0.8725 | 0.7711 | [M:[0.804, 1.196, 0.804, 0.696, 1.1331, 0.6709], q:[0.75, 0.446], qb:[0.4209, 0.3831], phi:[0.5]] | t^2.013 + t^2.088 + 2*t^2.412 + t^2.487 + t^3. + 2*t^3.399 + t^3.513 + t^3.798 + 2*t^4.026 + 2*t^4.101 + 2*t^4.176 + 2*t^4.425 + 3*t^4.5 + t^4.575 + 3*t^4.824 + 2*t^4.899 + t^4.974 + t^5.013 + t^5.088 + 4*t^5.412 + 3*t^5.487 + t^5.526 + t^5.601 + 4*t^5.811 + 2*t^5.886 + t^5.925 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 1919 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6674 | 0.8593 | 0.7766 | [M:[0.8127, 1.1873, 0.8127, 0.6873, 1.1204, 0.8077], q:[0.75, 0.4373], qb:[0.4423, 0.3704], phi:[0.5]] | t^2.062 + 2*t^2.423 + 2*t^2.438 + t^3. + 2*t^3.361 + t^3.723 + t^3.923 + 2*t^4.124 + t^4.139 + t^4.154 + 2*t^4.485 + 2*t^4.5 + 3*t^4.846 + 4*t^4.861 + 3*t^4.876 + t^5.062 + 4*t^5.423 + 2*t^5.438 + 4*t^5.784 + 3*t^5.8 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 886 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6381 | 0.8072 | 0.7905 | [M:[0.7944, 1.2056, 0.7944, 0.7056, 1.1472, 1.1472], q:[0.75, 0.4556], qb:[0.3972, 0.3972], phi:[0.5]] | t^2.117 + 2*t^2.383 + t^3. + 4*t^3.442 + 2*t^3.883 + 2*t^4.058 + 2*t^4.233 + 2*t^4.5 + 3*t^4.767 + t^5.117 + 2*t^5.383 + 4*t^5.558 + 6*t^5.825 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 359 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6647 | 0.8522 | 0.78 | [M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.056 + 2*t^2.444 + 2*t^2.528 + t^3. + 2*t^3.472 + 2*t^3.944 + 2*t^4.028 + 2*t^4.112 + 2*t^4.5 + 2*t^4.584 + 3*t^4.888 + 4*t^4.972 + 4*t^5.056 + 2*t^5.444 + 4*t^5.528 + 2*t^5.916 + t^6. - t^4.5/y - t^4.5*y | detail |