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 |
|---|---|---|---|---|---|---|---|---|---|
| 46052 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.652 | 0.8312 | 0.7844 | [M:[1.1326, 0.6957, 0.8043], q:[0.75, 0.4217], qb:[0.3826, 0.4457], phi:[0.5]] | [M:[[1, 0], [0, 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 |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$ | ${}$ | -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 | g2*t^2.087 + (2*t^2.413)/g2 + g1*g2*t^2.485 + t^3. + 2*g1*t^3.398 + t^3.515/(g1*g2) + g1^2*t^3.796 + g1*g2*t^3.985 + t^4.03/(g1^2*g2^2) + t^4.102/g1 + 2*g2^2*t^4.174 + 2*t^4.5 + g1*g2^2*t^4.572 + (3*t^4.826)/g2^2 + 2*g1*t^4.898 + g1^2*g2^2*t^4.97 + g2*t^5.087 + (2*t^5.413)/g2 + 3*g1*g2*t^5.485 + t^5.602/g1 + (3*g1*t^5.811)/g2 + 2*g1^2*g2*t^5.883 + t^5.928/(g1*g2^2) - 2*t^6. + (2*g1^2*t^6.209)/g2 + 2*g2^3*t^6.261 + g1^3*g2*t^6.28 + 2*g1*t^6.398 + (2*t^6.443)/(g1^2*g2^3) + g1^2*g2^2*t^6.47 + (2*t^6.515)/(g1*g2) + 3*g2*t^6.587 + 2*g1*g2^3*t^6.659 + 3*g1^2*t^6.796 + (3*t^6.913)/g2 + g1*g2*t^6.985 + t^7.03/(g1^2*g2^2) + g1^2*g2^3*t^7.057 - t^7.102/g1 + g2^2*t^7.174 + 2*g1^3*t^7.193 + (4*t^7.239)/g2^3 + (2*g1*t^7.311)/g2 + 2*g1^2*g2*t^7.383 + g1^3*g2^3*t^7.455 + t^7.5 + t^7.545/(g1^3*g2^3) + 3*g1*g2^2*t^7.572 + g1^4*t^7.591 - t^7.617/(g1^2*g2) + g1^3*g2*t^7.78 + (3*t^7.826)/g2^2 + 4*g1*t^7.898 + 4*g1^2*g2^2*t^7.97 + t^8.061/(g1^4*g2^4) - 3*g2*t^8.087 + t^8.132/(g1^3*g2^2) + g1*g2^3*t^8.159 + t^8.204/g1^2 + (4*g1*t^8.224)/g2^2 + (g2^2*t^8.276)/g1 + 3*g1^2*t^8.296 + t^8.341/(g1*g2^3) + 3*g2^4*t^8.348 + 2*g1^3*g2^2*t^8.368 - (5*t^8.413)/g2 - 2*g1*g2*t^8.485 - t^8.602/g1 + (3*g1^2*t^8.621)/g2^2 + 2*g2^2*t^8.674 + 2*g1^3*t^8.693 + 2*g1*g2^4*t^8.746 + g1^4*g2^2*t^8.765 + (2*g1*t^8.811)/g2 + (3*t^8.856)/(g1^2*g2^4) + 4*g1^2*g2*t^8.883 + (2*t^8.928)/(g1*g2^2) + g1^3*g2^3*t^8.955 - t^4.5/y - (g2*t^6.587)/y - t^6.913/(g2*y) + t^7.102/(g1*y) + (2*t^7.5)/y + (g1*g2^2*t^7.572)/y + t^7.826/(g2^2*y) + (g1*t^7.898)/y + (2*g2*t^8.087)/y + (3*t^8.413)/(g2*y) + (3*g1*g2*t^8.485)/y + t^8.602/(g1*y) - (g2^2*t^8.674)/y + (4*g1*t^8.811)/(g2*y) + (3*g1^2*g2*t^8.883)/y + (2*t^8.928)/(g1*g2^2*y) - t^4.5*y - g2*t^6.587*y - (t^6.913*y)/g2 + (t^7.102*y)/g1 + 2*t^7.5*y + g1*g2^2*t^7.572*y + (t^7.826*y)/g2^2 + g1*t^7.898*y + 2*g2*t^8.087*y + (3*t^8.413*y)/g2 + 3*g1*g2*t^8.485*y + (t^8.602*y)/g1 - g2^2*t^8.674*y + (4*g1*t^8.811*y)/g2 + 3*g1^2*g2*t^8.883*y + (2*t^8.928*y)/(g1*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 |
|---|---|---|---|---|---|---|---|---|
| 46194 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6728 | 0.8725 | 0.7711 | [M:[1.1331, 0.696, 0.804, 0.6709], q:[0.75, 0.4209], qb:[0.3831, 0.446], 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 | |
| 46186 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6674 | 0.8593 | 0.7766 | [M:[1.1204, 0.6873, 0.8127, 0.8077], q:[0.75, 0.4423], qb:[0.3704, 0.4373], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45938 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6363 | 0.8038 | 0.7916 | [M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.392, 0.4275], phi:[0.5]] | t^2.032 + t^2.458 + t^2.468 + t^3. + 2*t^3.426 + t^3.532 + t^3.542 + t^3.852 + t^3.958 + 2*t^4.065 + t^4.074 + t^4.083 + t^4.491 + t^4.5 + t^4.917 + t^4.926 + t^4.935 + t^5.032 + 3*t^5.458 + t^5.468 + t^5.565 + t^5.574 + 2*t^5.884 + t^5.893 + t^5.991 - t^6. - t^4.5/y - t^4.5*y | detail |