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 |
|---|---|---|---|---|---|---|---|---|---|
| 1934 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6342 | 0.7835 | 0.8094 | [X:[1.6111], M:[0.8334, 0.722, 1.1666, 0.3889, 0.8334], q:[0.3889, 0.7777], qb:[0.4446, 0.8334], phi:[0.3889]] | [X:[[1]], M:[[3], [-7], [-3], [-1], [3]], q:[[-1], [-2]], qb:[[4], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ \phi_1q_2^2$ | $M_5\phi_1q_1^2$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$ | 1 | t^2.17 + t^2.33 + 2*t^2.5 + t^3.5 + 3*t^3.67 + t^3.83 + t^4.33 + t^4.5 + 3*t^4.67 + 3*t^4.83 + 3*t^5. + t^5.67 + 2*t^5.83 + t^6. + 5*t^6.17 + 2*t^6.33 + t^6.5 + t^6.66 + 3*t^6.83 + 3*t^7. + 3*t^7.17 + 5*t^7.33 + 5*t^7.5 + t^7.67 + t^7.83 + 2*t^8. + t^8.33 - t^8.5 + t^8.66 + 6*t^8.67 + 4*t^8.83 - t^4.17/y - t^6.33/y - t^6.5/y - t^6.67/y + t^7.5/y + (3*t^7.67)/y + (3*t^7.83)/y + (2*t^8.)/y - t^8.5/y + (2*t^8.83)/y - t^4.17*y - t^6.33*y - t^6.5*y - t^6.67*y + t^7.5*y + 3*t^7.67*y + 3*t^7.83*y + 2*t^8.*y - t^8.5*y + 2*t^8.83*y | t^2.17/g1^7 + t^2.33/g1^2 + 2*g1^3*t^2.5 + t^3.5/g1^3 + 3*g1^2*t^3.67 + g1^7*t^3.83 + t^4.33/g1^14 + t^4.5/g1^9 + (3*t^4.67)/g1^4 + 3*g1*t^4.83 + 3*g1^6*t^5. + t^5.67/g1^10 + (2*t^5.83)/g1^5 + t^6. + 5*g1^5*t^6.17 + 2*g1^10*t^6.33 + t^6.5/g1^21 + t^6.66/g1^16 + (3*t^6.83)/g1^11 + (3*t^7.)/g1^6 + (3*t^7.17)/g1 + 5*g1^4*t^7.33 + 5*g1^9*t^7.5 + g1^14*t^7.67 + t^7.83/g1^17 + (2*t^8.)/g1^12 + t^8.33/g1^2 - g1^3*t^8.5 + t^8.66/g1^28 + 6*g1^8*t^8.67 + t^8.83/g1^23 + 3*g1^13*t^8.83 - t^4.17/(g1*y) - t^6.33/(g1^8*y) - t^6.5/(g1^3*y) - (g1^2*t^6.67)/y + t^7.5/(g1^9*y) + (3*t^7.67)/(g1^4*y) + (3*g1*t^7.83)/y + (2*g1^6*t^8.)/y - t^8.5/(g1^15*y) + (2*t^8.83)/(g1^5*y) - (t^4.17*y)/g1 - (t^6.33*y)/g1^8 - (t^6.5*y)/g1^3 - g1^2*t^6.67*y + (t^7.5*y)/g1^9 + (3*t^7.67*y)/g1^4 + 3*g1*t^7.83*y + 2*g1^6*t^8.*y - (t^8.5*y)/g1^15 + (2*t^8.83*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2970 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ | 0.6488 | 0.8093 | 0.8017 | [X:[1.6082], M:[0.8245, 0.7428, 1.1755, 0.3918, 0.8245, 0.8245], q:[0.3918, 0.7837], qb:[0.4327, 0.8245], phi:[0.3918]] | t^2.23 + t^2.35 + 3*t^2.47 + 3*t^3.65 + t^3.77 + t^4.46 + t^4.58 + 4*t^4.7 + 4*t^4.82 + 6*t^4.95 + t^5.88 - t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 579 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7283 | 0.8957 | 0.8131 | [X:[], M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.92 + 2*t^3.31 + t^4.04 + t^4.27 + t^4.42 + t^4.5 + t^4.62 + 2*t^4.65 + t^4.77 + t^4.8 + t^4.89 + t^4.92 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.27 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 - 2*t^6. - t^4.35/y - t^4.35*y | detail |