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 |
|---|---|---|---|---|---|---|---|---|---|
| 360 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6314 | 0.7921 | 0.7972 | [M:[0.7994, 1.2006, 0.7994, 1.1301], q:[0.75, 0.4506], qb:[0.4193, 0.3801], phi:[0.5]] | [M:[[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 |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.398 + t^2.492 + t^3. + 2*t^3.39 + t^3.508 + t^3.78 + t^3.898 + t^3.992 + t^4.016 + t^4.11 + t^4.204 + 3*t^4.796 + 2*t^4.89 + t^4.984 + 2*t^5.398 + t^5.492 + 3*t^5.788 + t^5.882 + t^5.906 - 2*t^6. - t^6.094 - t^6.118 + 2*t^6.178 - t^6.212 + t^6.273 + 2*t^6.296 + 3*t^6.39 + 2*t^6.414 + t^6.484 + 2*t^6.508 + t^6.602 + t^6.696 + 3*t^6.78 + t^6.898 - t^6.992 + t^7.016 - t^7.11 + 2*t^7.171 + 4*t^7.194 + 4*t^7.288 + 2*t^7.382 + t^7.406 + t^7.476 - t^7.5 + t^7.524 + t^7.561 - t^7.618 + t^7.678 - t^7.712 + t^7.773 + 4*t^7.796 + 2*t^7.89 + t^7.914 + 2*t^7.984 + t^8.032 + t^8.126 + 4*t^8.186 + t^8.196 + t^8.22 + t^8.28 + t^8.304 + t^8.314 + t^8.374 - 5*t^8.398 + t^8.408 - 4*t^8.492 - 2*t^8.516 + 3*t^8.577 - t^8.586 - 3*t^8.61 + 2*t^8.671 + 3*t^8.694 - t^8.704 + t^8.765 + 4*t^8.788 + 3*t^8.812 + 2*t^8.882 + 2*t^8.906 + t^8.976 - t^4.5/y - t^6.898/y + t^7.11/y + t^7.796/y + t^7.89/y + t^8.102/y + (2*t^8.398)/y + t^8.492/y + (4*t^8.788)/y + (2*t^8.882)/y + (2*t^8.906)/y - t^4.5*y - t^6.898*y + t^7.11*y + t^7.796*y + t^7.89*y + t^8.102*y + 2*t^8.398*y + t^8.492*y + 4*t^8.788*y + 2*t^8.882*y + 2*t^8.906*y | 2*g1*g2*t^2.398 + t^2.492/g1 + t^3. + 2*g2*t^3.39 + g1*t^3.508 + g2^2*t^3.78 + g1*g2*t^3.898 + t^3.992/g1 + g1^2*t^4.016 + t^4.11/g2 + t^4.204/(g1^2*g2^2) + 3*g1^2*g2^2*t^4.796 + 2*g2*t^4.89 + t^4.984/g1^2 + 2*g1*g2*t^5.398 + t^5.492/g1 + 3*g1*g2^2*t^5.788 + (g2*t^5.882)/g1 + g1^2*g2*t^5.906 - 2*t^6. - t^6.094/(g1^2*g2) - (g1*t^6.118)/g2 + 2*g1*g2^3*t^6.178 - t^6.212/(g1*g2^2) + (g2^2*t^6.273)/g1 + 2*g1^2*g2^2*t^6.296 + 3*g2*t^6.39 + 2*g1^3*g2*t^6.414 + t^6.484/g1^2 + 2*g1*t^6.508 + t^6.602/(g1*g2) + t^6.696/(g1^3*g2^2) + 3*g2^2*t^6.78 + g1*g2*t^6.898 - t^6.992/g1 + g1^2*t^7.016 - t^7.11/g2 + 2*g2^3*t^7.171 + 4*g1^3*g2^3*t^7.194 + 4*g1*g2^2*t^7.288 + (2*g2*t^7.382)/g1 + g1^2*g2*t^7.406 + t^7.476/g1^3 - t^7.5 + g1^3*t^7.524 + g2^4*t^7.561 - (g1*t^7.618)/g2 + g1*g2^3*t^7.678 - t^7.712/(g1*g2^2) + (g2^2*t^7.773)/g1 + 4*g1^2*g2^2*t^7.796 + 2*g2*t^7.89 + g1^3*g2*t^7.914 + (2*t^7.984)/g1^2 + g1^4*t^8.032 + (g1^2*t^8.126)/g2 + 4*g1^2*g2^3*t^8.186 + t^8.196/(g1^3*g2^2) + t^8.22/g2^2 + g2^2*t^8.28 + g1^3*g2^2*t^8.304 + t^8.314/(g1^2*g2^3) + (g2*t^8.374)/g1^2 - 5*g1*g2*t^8.398 + t^8.408/(g1^4*g2^4) - (4*t^8.492)/g1 - 2*g1^2*t^8.516 + 3*g1^2*g2^4*t^8.577 - t^8.586/(g1^3*g2) - (3*t^8.61)/g2 + 2*g2^3*t^8.671 + 3*g1^3*g2^3*t^8.694 - t^8.704/(g1^2*g2^2) + (g2^2*t^8.765)/g1^2 + 4*g1*g2^2*t^8.788 + 3*g1^4*g2^2*t^8.812 + (2*g2*t^8.882)/g1 + 2*g1^2*g2*t^8.906 + t^8.976/g1^3 - t^4.5/y - (g1*g2*t^6.898)/y + t^7.11/(g2*y) + (g1^2*g2^2*t^7.796)/y + (g2*t^7.89)/y + t^8.102/(g1*g2*y) + (2*g1*g2*t^8.398)/y + t^8.492/(g1*y) + (4*g1*g2^2*t^8.788)/y + (2*g2*t^8.882)/(g1*y) + (2*g1^2*g2*t^8.906)/y - t^4.5*y - g1*g2*t^6.898*y + (t^7.11*y)/g2 + g1^2*g2^2*t^7.796*y + g2*t^7.89*y + (t^8.102*y)/(g1*g2) + 2*g1*g2*t^8.398*y + (t^8.492*y)/g1 + 4*g1*g2^2*t^8.788*y + (2*g2*t^8.882*y)/g1 + 2*g1^2*g2*t^8.906*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 |
|---|---|---|---|---|---|---|---|---|
| 1781 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6467 | 0.8193 | 0.7892 | [M:[0.8093, 1.1907, 0.8093, 1.1186, 0.8093], q:[0.75, 0.4407], qb:[0.4407, 0.3686], phi:[0.5]] | 4*t^2.428 + t^3. + 2*t^3.356 + t^3.711 + 2*t^3.928 + 3*t^4.144 + 10*t^4.856 + 4*t^5.428 + 6*t^5.784 - 5*t^6. - t^4.5/y - t^4.5*y | detail | |
| 572 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6178 | 0.7693 | 0.803 | [M:[0.7877, 1.2123, 0.7877, 1.1439, 1.1439], q:[0.75, 0.4623], qb:[0.3939, 0.3939], phi:[0.5]] | 2*t^2.363 + t^3. + 4*t^3.432 + 3*t^3.863 + 2*t^4.068 + t^4.274 + 3*t^4.726 + 2*t^5.363 + 6*t^5.795 - 5*t^6. - t^4.5/y - t^4.5*y | detail | |
| 570 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6307 | 0.7901 | 0.7983 | [M:[0.7999, 1.2001, 0.7999, 1.1499], q:[0.75, 0.4501], qb:[0.3999, 0.3999], phi:[0.5]] | 2*t^2.4 + t^2.55 + t^3. + 3*t^3.45 + 3*t^3.9 + 2*t^4.05 + t^4.201 + 3*t^4.799 + 2*t^4.95 + t^5.1 + 2*t^5.4 + t^5.55 + 4*t^5.849 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ | 0.644 | 0.812 | 0.7931 | [M:[0.8115, 1.1885, 0.8115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | 2*t^2.435 + 2*t^2.533 + t^3. + 2*t^3.467 + 3*t^3.935 + 2*t^4.033 + t^4.131 + 3*t^4.869 + 4*t^4.967 + 3*t^5.065 + 2*t^5.435 + 2*t^5.533 + 2*t^5.902 - t^6. - t^4.5/y - t^4.5*y | detail |