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 |
|---|---|---|---|---|---|---|---|---|---|
| 45862 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ | 0.6965 | 0.8596 | 0.8103 | [M:[0.9458, 0.9458], q:[0.5557, 0.4985], qb:[0.4985, 0.4472], phi:[0.5]] | [M:[[0, 1, 1], [1, 0, 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 |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -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*g1*g3*t^2.837 + 2*g2*g3*t^2.837 + g1*g2*t^2.991 + t^3. + t^3.009/(g1*g2) + g3^2*t^4.183 + g1*g3*t^4.337 + g2*g3*t^4.337 + g1^2*t^4.491 + g1*g2*t^4.491 + g2^2*t^4.491 + t^4.509/(g1*g2) + t^4.663/(g1*g3) + t^4.663/(g2*g3) + t^4.834/(g1^2*g2^2*g3^2) + 3*g1^2*g3^2*t^5.675 + 3*g1*g2*g3^2*t^5.675 + 3*g2^2*g3^2*t^5.675 + g1^2*g2*g3*t^5.828 + g1*g2^2*g3*t^5.828 + 2*g1*g3*t^5.837 + 2*g2*g3*t^5.837 + (g3*t^5.846)/g1 + (g3*t^5.846)/g2 + g1^2*g2^2*t^5.982 + g1*g2*t^5.991 - 3*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 + t^6.009/(g1*g2) + t^6.018/(g1^2*g2^2) - (g1*t^6.154)/g3 - (g2*t^6.154)/g3 - t^6.172/(g1*g2^2*g3) - t^6.172/(g1^2*g2*g3) - t^6.325/(g1*g2*g3^2) + 2*g1*g3^3*t^7.021 + 2*g2*g3^3*t^7.021 + 2*g1^2*g3^2*t^7.175 + 3*g1*g2*g3^2*t^7.175 + 2*g2^2*g3^2*t^7.175 + (g3^2*t^7.192)/(g1*g2) + 2*g1^3*g3*t^7.328 + 3*g1^2*g2*g3*t^7.328 + 3*g1*g2^2*g3*t^7.328 + 2*g2^3*g3*t^7.328 + (g3*t^7.346)/g1 + (g3*t^7.346)/g2 + g1^3*g2*t^7.482 + g1^2*g2^2*t^7.482 + g1*g2^3*t^7.482 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + t^7.518/(g1^2*g2^2) - (g1*t^7.654)/g3 - (g2*t^7.654)/g3 + t^7.672/(g1*g2^2*g3) + t^7.672/(g1^2*g2*g3) - t^7.825/(g1*g2*g3^2) + t^7.843/(g1^3*g2^3*g3^2) + g3^4*t^8.367 + 4*g1^3*g3^3*t^8.512 + 4*g1^2*g2*g3^3*t^8.512 + 4*g1*g2^2*g3^3*t^8.512 + 4*g2^3*g3^3*t^8.512 + g1*g3^3*t^8.521 + g2*g3^3*t^8.521 + g1^3*g2*g3^2*t^8.666 + g1^2*g2^2*g3^2*t^8.666 + g1*g2^3*g3^2*t^8.666 + 4*g1^2*g3^2*t^8.675 + 4*g1*g2*g3^2*t^8.675 + 4*g2^2*g3^2*t^8.675 - g3^2*t^8.683 + (g1*g3^2*t^8.683)/g2 + (g2*g3^2*t^8.683)/g1 + (g3^2*t^8.692)/(g1*g2) + g1^3*g2^2*g3*t^8.82 + g1^2*g2^3*g3*t^8.82 + g1^3*g3*t^8.828 + 2*g1^2*g2*g3*t^8.828 + 2*g1*g2^2*g3*t^8.828 + g2^3*g3*t^8.828 - 8*g1*g3*t^8.837 - (2*g1^2*g3*t^8.837)/g2 - 8*g2*g3*t^8.837 - (2*g2^2*g3*t^8.837)/g1 + (2*g3*t^8.846)/g1 + (2*g3*t^8.846)/g2 + (g3*t^8.855)/(g1*g2^2) + (g3*t^8.855)/(g1^2*g2) + g1^3*g2^3*t^8.974 + g1^4*t^8.982 + g1^3*g2*t^8.982 + 2*g1^2*g2^2*t^8.982 + g1*g2^3*t^8.982 + g2^4*t^8.982 - 3*g1^2*t^8.991 - 5*g1*g2*t^8.991 - 3*g2^2*t^8.991 - t^4.5/y - (g1*g3*t^7.337)/y - (g2*g3*t^7.337)/y + t^7.663/(g1*g3*y) + t^7.663/(g2*g3*y) + (g1^2*g3^2*t^8.675)/y + (4*g1*g2*g3^2*t^8.675)/y + (g2^2*g3^2*t^8.675)/y + (2*g1^2*g2*g3*t^8.828)/y + (2*g1*g2^2*g3*t^8.828)/y + (2*g1*g3*t^8.837)/y + (2*g2*g3*t^8.837)/y + (2*g3*t^8.846)/(g1*y) + (2*g3*t^8.846)/(g2*y) + (g1*g2*t^8.991)/y - t^4.5*y - g1*g3*t^7.337*y - g2*g3*t^7.337*y + (t^7.663*y)/(g1*g3) + (t^7.663*y)/(g2*g3) + g1^2*g3^2*t^8.675*y + 4*g1*g2*g3^2*t^8.675*y + g2^2*g3^2*t^8.675*y + 2*g1^2*g2*g3*t^8.828*y + 2*g1*g2^2*g3*t^8.828*y + 2*g1*g3*t^8.837*y + 2*g2*g3*t^8.837*y + (2*g3*t^8.846*y)/g1 + (2*g3*t^8.846*y)/g2 + g1*g2*t^8.991*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 |
|---|---|---|---|---|---|---|---|---|
| 45879 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6011 | 0.7381 | 0.8144 | [M:[1.154, 1.154], q:[0.4419, 0.404], qb:[0.404, 0.75], phi:[0.5]] | t^2.424 + t^3. + 4*t^3.462 + t^3.576 + 3*t^3.924 + 2*t^4.038 + t^4.151 + t^4.849 + t^5.424 + 2*t^5.886 - 4*t^6. - t^4.5/y - t^4.5*y | detail | |
| 45898 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.6965 | 0.8595 | 0.8103 | [M:[0.9459, 0.9459], q:[0.5541, 0.5], qb:[0.5, 0.4459], phi:[0.5]] | 4*t^2.838 + 3*t^3. + t^4.175 + 2*t^4.338 + 4*t^4.5 + 2*t^4.662 + t^4.825 + 9*t^5.675 + 8*t^5.838 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45838 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.7406 | 0.8961 | 0.8265 | [M:[0.7808, 0.7808], q:[0.6298, 0.5894], qb:[0.5894, 0.5527], 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 |