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 |
|---|---|---|---|---|---|---|---|---|---|
| 226 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}^{4}$ | 0.6965 | 0.8596 | 0.8103 | [M:[1.0542, 0.9458, 0.9458, 0.9458], q:[0.4985, 0.4472], qb:[0.5557, 0.4985], phi:[0.5]] | [M:[[0, 1, 1], [0, -1, -1], [1, 0, 1], [0, -1, -1]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -5 | 4*t^2.837 + t^2.991 + t^3. + t^3.009 + t^4.183 + 2*t^4.337 + 3*t^4.491 + t^4.509 + 2*t^4.663 + t^4.834 + 9*t^5.675 + 2*t^5.828 + 4*t^5.837 + 2*t^5.846 + t^5.982 + t^5.991 - 5*t^6. + t^6.009 + t^6.018 - 2*t^6.154 - 2*t^6.172 - t^6.325 + 4*t^7.021 + 7*t^7.175 + t^7.192 + 10*t^7.328 + 2*t^7.346 + 3*t^7.482 + 2*t^7.5 + t^7.518 - 2*t^7.654 + 2*t^7.672 - t^7.825 + t^7.843 + t^8.367 + 16*t^8.512 + 2*t^8.521 + 3*t^8.666 + 12*t^8.675 + t^8.683 + t^8.692 + 2*t^8.82 + 6*t^8.828 - 20*t^8.837 + 4*t^8.846 + 2*t^8.855 + t^8.974 + 6*t^8.982 - 11*t^8.991 - t^4.5/y - (2*t^7.337)/y + (2*t^7.663)/y + (6*t^8.675)/y + (4*t^8.828)/y + (4*t^8.837)/y + (4*t^8.846)/y + t^8.991/y - t^4.5*y - 2*t^7.337*y + 2*t^7.663*y + 6*t^8.675*y + 4*t^8.828*y + 4*t^8.837*y + 4*t^8.846*y + t^8.991*y | (2*t^2.837)/(g2*g3) + 2*g1*g3*t^2.837 + t^2.991/(g1*g2) + t^3. + g1*g2*t^3.009 + g1^2*t^4.183 + t^4.337/(g2*g3) + g1*g3*t^4.337 + t^4.491/(g1*g2) + t^4.491/(g1^2*g2^2*g3^2) + g3^2*t^4.491 + g1*g2*t^4.509 + t^4.663/(g1*g3) + g2*g3*t^4.663 + g2^2*t^4.834 + (3*g1*t^5.675)/g2 + (3*t^5.675)/(g2^2*g3^2) + 3*g1^2*g3^2*t^5.675 + t^5.828/(g1*g2^2*g3) + (g3*t^5.828)/g2 + (2*t^5.837)/(g2*g3) + 2*g1*g3*t^5.837 + (g1*t^5.846)/g3 + g1^2*g2*g3*t^5.846 + t^5.982/(g1^2*g2^2) + t^5.991/(g1*g2) - 3*t^6. - t^6./(g1*g2*g3^2) - g1*g2*g3^2*t^6. + g1*g2*t^6.009 + g1^2*g2^2*t^6.018 - t^6.154/(g1^2*g2*g3) - (g3*t^6.154)/g1 - (g2*t^6.172)/g3 - g1*g2^2*g3*t^6.172 - (g2*t^6.325)/g1 + (2*g1^2*t^7.021)/(g2*g3) + 2*g1^3*g3*t^7.021 + (3*g1*t^7.175)/g2 + (2*t^7.175)/(g2^2*g3^2) + 2*g1^2*g3^2*t^7.175 + g1^3*g2*t^7.192 + (2*t^7.328)/(g1^2*g2^3*g3^3) + (3*t^7.328)/(g1*g2^2*g3) + (3*g3*t^7.328)/g2 + 2*g1*g3^3*t^7.328 + (g1*t^7.346)/g3 + g1^2*g2*g3*t^7.346 + t^7.482/(g1^2*g2^2) + t^7.482/(g1^3*g2^3*g3^2) + (g3^2*t^7.482)/(g1*g2) + t^7.5/(g1*g2*g3^2) + g1*g2*g3^2*t^7.5 + g1^2*g2^2*t^7.518 - t^7.654/(g1^2*g2*g3) - (g3*t^7.654)/g1 + (g2*t^7.672)/g3 + g1*g2^2*g3*t^7.672 - (g2*t^7.825)/g1 + g1*g2^3*t^7.843 + g1^4*t^8.367 + (4*t^8.512)/(g2^3*g3^3) + (4*g1*t^8.512)/(g2^2*g3) + (4*g1^2*g3*t^8.512)/g2 + 4*g1^3*g3^3*t^8.512 + (g1^2*t^8.521)/(g2*g3) + g1^3*g3*t^8.521 + t^8.666/g2^2 + t^8.666/(g1*g2^3*g3^2) + (g1*g3^2*t^8.666)/g2 + (4*g1*t^8.675)/g2 + (4*t^8.675)/(g2^2*g3^2) + 4*g1^2*g3^2*t^8.675 - g1^2*t^8.683 + (g1*t^8.683)/(g2*g3^2) + g1^3*g2*g3^2*t^8.683 + g1^3*g2*t^8.692 + t^8.82/(g1^2*g2^3*g3) + (g3*t^8.82)/(g1*g2^2) + t^8.828/(g1^2*g2^3*g3^3) + (2*t^8.828)/(g1*g2^2*g3) + (2*g3*t^8.828)/g2 + g1*g3^3*t^8.828 - (2*t^8.837)/(g1*g2^2*g3^3) - (8*t^8.837)/(g2*g3) - 8*g1*g3*t^8.837 - 2*g1^2*g2*g3^3*t^8.837 + (2*g1*t^8.846)/g3 + 2*g1^2*g2*g3*t^8.846 + (g1^2*g2*t^8.855)/g3 + g1^3*g2^2*g3*t^8.855 + t^8.974/(g1^3*g2^3) + (2*t^8.982)/(g1^2*g2^2) + t^8.982/(g1^4*g2^4*g3^4) + t^8.982/(g1^3*g2^3*g3^2) + (g3^2*t^8.982)/(g1*g2) + g3^4*t^8.982 - (5*t^8.991)/(g1*g2) - (3*t^8.991)/(g1^2*g2^2*g3^2) - 3*g3^2*t^8.991 - t^4.5/y - t^7.337/(g2*g3*y) - (g1*g3*t^7.337)/y + t^7.663/(g1*g3*y) + (g2*g3*t^7.663)/y + (4*g1*t^8.675)/(g2*y) + t^8.675/(g2^2*g3^2*y) + (g1^2*g3^2*t^8.675)/y + (2*t^8.828)/(g1*g2^2*g3*y) + (2*g3*t^8.828)/(g2*y) + (2*t^8.837)/(g2*g3*y) + (2*g1*g3*t^8.837)/y + (2*g1*t^8.846)/(g3*y) + (2*g1^2*g2*g3*t^8.846)/y + t^8.991/(g1*g2*y) - t^4.5*y - (t^7.337*y)/(g2*g3) - g1*g3*t^7.337*y + (t^7.663*y)/(g1*g3) + g2*g3*t^7.663*y + (4*g1*t^8.675*y)/g2 + (t^8.675*y)/(g2^2*g3^2) + g1^2*g3^2*t^8.675*y + (2*t^8.828*y)/(g1*g2^2*g3) + (2*g3*t^8.828*y)/g2 + (2*t^8.837*y)/(g2*g3) + 2*g1*g3*t^8.837*y + (2*g1*t^8.846*y)/g3 + 2*g1^2*g2*g3*t^8.846*y + (t^8.991*y)/(g1*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 361 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}^{4}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6952 | 0.8564 | 0.8117 | [M:[1.0534, 0.9466, 0.9738, 0.9466], q:[0.4995, 0.4471], qb:[0.5267, 0.5267], phi:[0.5]] | 2*t^2.84 + 3*t^2.921 + t^3. + t^3.079 + t^4.182 + t^4.34 + 2*t^4.421 + t^4.497 + 2*t^4.579 + 3*t^4.66 + 3*t^5.679 + 4*t^5.761 + 2*t^5.84 + 5*t^5.843 + 3*t^5.921 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 137 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ | 0.7406 | 0.8961 | 0.8265 | [M:[0.8579, 0.7808, 0.7808, 1.1421], q:[0.5894, 0.5527], qb:[0.6298, 0.5894], phi:[0.4097]] | 2*t^2.342 + t^2.458 + 2*t^3.426 + t^3.536 + t^3.547 + t^4.545 + 2*t^4.655 + 3*t^4.685 + 3*t^4.765 + t^4.776 + 2*t^4.801 + 2*t^4.887 + t^4.916 + t^5.008 + 3*t^5.769 + 2*t^5.884 + t^5.995 - 6*t^6. - t^4.229/y - t^4.229*y | detail |