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 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ \phi_1^4$ | 0.6965 | 0.8596 | 0.8103 | [X:[], M:[1.0542, 0.9458, 0.9458, 0.9458], q:[0.4985, 0.4472], qb:[0.5557, 0.4985], phi:[0.5]] | [X:[], 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_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -5 | 4*t^2.84 + t^2.99 + t^3. + t^3.01 + t^4.18 + 2*t^4.34 + 3*t^4.49 + t^4.51 + 2*t^4.66 + t^4.83 + 9*t^5.67 + 2*t^5.83 + 4*t^5.84 + 2*t^5.85 + t^5.98 + t^5.99 - 5*t^6. + t^6.01 + t^6.02 - 2*t^6.15 - 2*t^6.17 - t^6.33 + 4*t^7.02 + 7*t^7.17 + t^7.19 + 10*t^7.33 + 2*t^7.35 + 3*t^7.48 + 2*t^7.5 + t^7.52 - 2*t^7.65 + 2*t^7.67 - t^7.83 + t^7.84 + t^8.37 + 16*t^8.51 + 2*t^8.52 + 15*t^8.67 + t^8.68 + t^8.69 + 2*t^8.82 + 6*t^8.83 - 20*t^8.84 + 6*t^8.85 + t^8.97 + 6*t^8.98 - 11*t^8.99 - t^4.5/y - (2*t^7.34)/y + (2*t^7.66)/y + (6*t^8.67)/y + (4*t^8.83)/y + (4*t^8.84)/y + (4*t^8.85)/y + t^8.99/y - t^4.5*y - 2*t^7.34*y + 2*t^7.66*y + 6*t^8.67*y + 4*t^8.83*y + 4*t^8.84*y + 4*t^8.85*y + t^8.99*y | (2*t^2.84)/(g2*g3) + 2*g1*g3*t^2.84 + t^2.99/(g1*g2) + t^3. + g1*g2*t^3.01 + g1^2*t^4.18 + t^4.34/(g2*g3) + g1*g3*t^4.34 + t^4.49/(g1*g2) + t^4.49/(g1^2*g2^2*g3^2) + g3^2*t^4.49 + g1*g2*t^4.51 + t^4.66/(g1*g3) + g2*g3*t^4.66 + g2^2*t^4.83 + (3*g1*t^5.67)/g2 + (3*t^5.67)/(g2^2*g3^2) + 3*g1^2*g3^2*t^5.67 + t^5.83/(g1*g2^2*g3) + (g3*t^5.83)/g2 + (2*t^5.84)/(g2*g3) + 2*g1*g3*t^5.84 + (g1*t^5.85)/g3 + g1^2*g2*g3*t^5.85 + t^5.98/(g1^2*g2^2) + t^5.99/(g1*g2) - 3*t^6. - t^6./(g1*g2*g3^2) - g1*g2*g3^2*t^6. + g1*g2*t^6.01 + g1^2*g2^2*t^6.02 - t^6.15/(g1^2*g2*g3) - (g3*t^6.15)/g1 - (g2*t^6.17)/g3 - g1*g2^2*g3*t^6.17 - (g2*t^6.33)/g1 + (2*g1^2*t^7.02)/(g2*g3) + 2*g1^3*g3*t^7.02 + (3*g1*t^7.17)/g2 + (2*t^7.17)/(g2^2*g3^2) + 2*g1^2*g3^2*t^7.17 + g1^3*g2*t^7.19 + (2*t^7.33)/(g1^2*g2^3*g3^3) + (3*t^7.33)/(g1*g2^2*g3) + (3*g3*t^7.33)/g2 + 2*g1*g3^3*t^7.33 + (g1*t^7.35)/g3 + g1^2*g2*g3*t^7.35 + t^7.48/(g1^2*g2^2) + t^7.48/(g1^3*g2^3*g3^2) + (g3^2*t^7.48)/(g1*g2) + t^7.5/(g1*g2*g3^2) + g1*g2*g3^2*t^7.5 + g1^2*g2^2*t^7.52 - t^7.65/(g1^2*g2*g3) - (g3*t^7.65)/g1 + (g2*t^7.67)/g3 + g1*g2^2*g3*t^7.67 - (g2*t^7.83)/g1 + g1*g2^3*t^7.84 + g1^4*t^8.37 + (4*t^8.51)/(g2^3*g3^3) + (4*g1*t^8.51)/(g2^2*g3) + (4*g1^2*g3*t^8.51)/g2 + 4*g1^3*g3^3*t^8.51 + (g1^2*t^8.52)/(g2*g3) + g1^3*g3*t^8.52 + t^8.67/g2^2 + (4*g1*t^8.67)/g2 + t^8.67/(g1*g2^3*g3^2) + (4*t^8.67)/(g2^2*g3^2) + 4*g1^2*g3^2*t^8.67 + (g1*g3^2*t^8.67)/g2 - g1^2*t^8.68 + (g1*t^8.68)/(g2*g3^2) + g1^3*g2*g3^2*t^8.68 + g1^3*g2*t^8.69 + t^8.82/(g1^2*g2^3*g3) + (g3*t^8.82)/(g1*g2^2) + t^8.83/(g1^2*g2^3*g3^3) + (2*t^8.83)/(g1*g2^2*g3) + (2*g3*t^8.83)/g2 + g1*g3^3*t^8.83 - (2*t^8.84)/(g1*g2^2*g3^3) - (8*t^8.84)/(g2*g3) - 8*g1*g3*t^8.84 - 2*g1^2*g2*g3^3*t^8.84 + (2*g1*t^8.85)/g3 + (g1^2*g2*t^8.85)/g3 + 2*g1^2*g2*g3*t^8.85 + g1^3*g2^2*g3*t^8.85 + t^8.97/(g1^3*g2^3) + (2*t^8.98)/(g1^2*g2^2) + t^8.98/(g1^4*g2^4*g3^4) + t^8.98/(g1^3*g2^3*g3^2) + (g3^2*t^8.98)/(g1*g2) + g3^4*t^8.98 - (5*t^8.99)/(g1*g2) - (3*t^8.99)/(g1^2*g2^2*g3^2) - 3*g3^2*t^8.99 - t^4.5/y - t^7.34/(g2*g3*y) - (g1*g3*t^7.34)/y + t^7.66/(g1*g3*y) + (g2*g3*t^7.66)/y + (4*g1*t^8.67)/(g2*y) + t^8.67/(g2^2*g3^2*y) + (g1^2*g3^2*t^8.67)/y + (2*t^8.83)/(g1*g2^2*g3*y) + (2*g3*t^8.83)/(g2*y) + (2*t^8.84)/(g2*g3*y) + (2*g1*g3*t^8.84)/y + (2*g1*t^8.85)/(g3*y) + (2*g1^2*g2*g3*t^8.85)/y + t^8.99/(g1*g2*y) - t^4.5*y - (t^7.34*y)/(g2*g3) - g1*g3*t^7.34*y + (t^7.66*y)/(g1*g3) + g2*g3*t^7.66*y + (4*g1*t^8.67*y)/g2 + (t^8.67*y)/(g2^2*g3^2) + g1^2*g3^2*t^8.67*y + (2*t^8.83*y)/(g1*g2^2*g3) + (2*g3*t^8.83*y)/g2 + (2*t^8.84*y)/(g2*g3) + 2*g1*g3*t^8.84*y + (2*g1*t^8.85*y)/g3 + 2*g1^2*g2*g3*t^8.85*y + (t^8.99*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 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ \phi_1^4$ + $ q_1q_2\tilde{q}_2^2$ | 0.6952 | 0.8564 | 0.8117 | [X:[], 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^2.92 + t^3. + t^3.08 + t^4.18 + t^4.34 + 2*t^4.42 + t^4.5 + 2*t^4.58 + 3*t^4.66 + 3*t^5.68 + 4*t^5.76 + 7*t^5.84 + 3*t^5.92 - 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 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ | 0.7406 | 0.8961 | 0.8265 | [X:[], M:[0.8579, 0.7808, 0.7808, 1.1421], q:[0.5894, 0.5527], qb:[0.6298, 0.5894], phi:[0.4097]] | 2*t^2.34 + t^2.46 + 2*t^3.43 + t^3.54 + t^3.55 + t^4.54 + 2*t^4.66 + 3*t^4.68 + 3*t^4.77 + t^4.78 + 2*t^4.8 + 2*t^4.89 + t^4.92 + t^5.01 + 3*t^5.77 + 2*t^5.88 + t^5.99 - 6*t^6. - t^4.23/y - t^4.23*y | detail |