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 |
|---|---|---|---|---|---|---|---|---|---|
| 46355 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6606 | 0.8481 | 0.7789 | [X:[], M:[1.1096, 0.7191, 0.7809, 0.8904], q:[0.75, 0.4213], qb:[0.3596, 0.4691], phi:[0.5]] | [X:[], M:[[1], [2], [-2], [-1]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_2M_4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_4q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_2q_1q_2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1q_2$, $ q_1q_2^2\tilde{q}_1$ | $M_1M_4$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | 1 | t^2.16 + 2*t^2.34 + t^2.49 + t^2.67 + t^3. + t^3.33 + t^3.51 + t^3.66 + t^3.99 + t^4.03 + t^4.17 + 2*t^4.31 + 2*t^4.5 + t^4.64 + 3*t^4.69 + 3*t^4.83 + t^4.97 + 2*t^5.01 + 2*t^5.16 + 3*t^5.34 + 2*t^5.49 + 3*t^5.67 + t^5.81 + t^5.86 + t^6. + t^6.14 + t^6.19 + 2*t^6.33 + 2*t^6.37 + 3*t^6.47 + 2*t^6.51 + 5*t^6.66 + t^6.7 + 2*t^6.8 + 3*t^6.84 + 4*t^6.99 + 5*t^7.03 + t^7.13 + 3*t^7.17 + 4*t^7.31 + 2*t^7.36 + t^7.46 + 3*t^7.5 + t^7.54 + 3*t^7.64 + 4*t^7.69 + 4*t^7.83 + 3*t^7.97 + 4*t^8.01 + t^8.06 + 2*t^8.2 + 2*t^8.3 + 2*t^8.34 + t^8.49 + t^8.53 + 4*t^8.63 + 3*t^8.71 + 4*t^8.81 + 3*t^8.86 + 3*t^8.96 - t^4.5/y - t^6.66/y - t^6.84/y + (2*t^7.5)/y + t^7.64/y + t^7.69/y + (3*t^7.83)/y + (2*t^8.01)/y + (3*t^8.16)/y + (3*t^8.34)/y + (2*t^8.49)/y + (4*t^8.67)/y + t^8.81/y + (2*t^8.86)/y - t^4.5*y - t^6.66*y - t^6.84*y + 2*t^7.5*y + t^7.64*y + t^7.69*y + 3*t^7.83*y + 2*t^8.01*y + 3*t^8.16*y + 3*t^8.34*y + 2*t^8.49*y + 4*t^8.67*y + t^8.81*y + 2*t^8.86*y | g1^2*t^2.16 + (2*t^2.34)/g1^2 + g1^3*t^2.49 + t^2.67/g1 + t^3. + g1*t^3.33 + t^3.51/g1^3 + g1^2*t^3.66 + g1^3*t^3.99 + t^4.03/g1^6 + t^4.17/g1 + 2*g1^4*t^4.31 + 2*t^4.5 + g1^5*t^4.64 + (3*t^4.69)/g1^4 + 3*g1*t^4.83 + g1^6*t^4.97 + (2*t^5.01)/g1^3 + 2*g1^2*t^5.16 + (3*t^5.34)/g1^2 + 2*g1^3*t^5.49 + (3*t^5.67)/g1 + g1^4*t^5.81 + t^5.86/g1^5 + t^6. + g1^5*t^6.14 + t^6.19/g1^4 + 2*g1*t^6.33 + (2*t^6.37)/g1^8 + 3*g1^6*t^6.47 + (2*t^6.51)/g1^3 + 5*g1^2*t^6.66 + t^6.7/g1^7 + 2*g1^7*t^6.8 + (3*t^6.84)/g1^2 + 4*g1^3*t^6.99 + (5*t^7.03)/g1^6 + g1^8*t^7.13 + (3*t^7.17)/g1 + 4*g1^4*t^7.31 + (2*t^7.36)/g1^5 + g1^9*t^7.46 + 3*t^7.5 + t^7.54/g1^9 + 3*g1^5*t^7.64 + (4*t^7.69)/g1^4 + 4*g1*t^7.83 + 3*g1^6*t^7.97 + (4*t^8.01)/g1^3 + t^8.06/g1^12 + (2*t^8.2)/g1^7 + 2*g1^7*t^8.3 + (2*t^8.34)/g1^2 + g1^3*t^8.49 + t^8.53/g1^6 + 4*g1^8*t^8.63 + (3*t^8.71)/g1^10 + 4*g1^4*t^8.81 + (3*t^8.86)/g1^5 + 3*g1^9*t^8.96 - t^4.5/y - (g1^2*t^6.66)/y - t^6.84/(g1^2*y) + (2*t^7.5)/y + (g1^5*t^7.64)/y + t^7.69/(g1^4*y) + (3*g1*t^7.83)/y + (2*t^8.01)/(g1^3*y) + (3*g1^2*t^8.16)/y + (3*t^8.34)/(g1^2*y) + (2*g1^3*t^8.49)/y + (4*t^8.67)/(g1*y) + (g1^4*t^8.81)/y + (2*t^8.86)/(g1^5*y) - t^4.5*y - g1^2*t^6.66*y - (t^6.84*y)/g1^2 + 2*t^7.5*y + g1^5*t^7.64*y + (t^7.69*y)/g1^4 + 3*g1*t^7.83*y + (2*t^8.01*y)/g1^3 + 3*g1^2*t^8.16*y + (3*t^8.34*y)/g1^2 + 2*g1^3*t^8.49*y + (4*t^8.67*y)/g1 + g1^4*t^8.81*y + (2*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 48293 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6706 | 0.8652 | 0.7752 | [X:[], M:[1.1123, 0.7246, 0.7754, 0.8877, 0.8877], q:[0.75, 0.4131], qb:[0.3623, 0.4746], phi:[0.5]] | t^2.17 + 2*t^2.33 + t^2.51 + 2*t^2.66 + t^3. + t^3.49 + t^3.67 + t^3.98 + t^4.01 + t^4.16 + 2*t^4.35 + 2*t^4.5 + 3*t^4.65 + t^4.68 + 4*t^4.84 + 4*t^4.99 + t^5.02 + 3*t^5.17 + 5*t^5.33 + t^5.51 + 2*t^5.66 + t^5.82 - t^4.5/y - t^4.5*y | detail | |
| 46899 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ | 0.6432 | 0.8175 | 0.7868 | [X:[], M:[1.1059, 0.7117, 0.7883, 0.8941, 1.2117], q:[0.75, 0.4324], qb:[0.3559, 0.4617], phi:[0.5]] | t^2.14 + t^2.36 + t^2.45 + t^2.68 + t^3. + t^3.32 + t^3.55 + 2*t^3.64 + t^3.95 + t^4.09 + t^4.18 + 2*t^4.27 + t^4.5 + t^4.59 + t^4.73 + 2*t^4.82 + t^4.91 + t^5.05 + 2*t^5.14 + 2*t^5.36 + 2*t^5.45 + 2*t^5.68 + 2*t^5.77 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 47185 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6815 | 0.8895 | 0.7661 | [X:[], M:[1.1098, 0.7196, 0.7804, 0.8902, 0.6706], q:[0.75, 0.4206], qb:[0.3598, 0.4696], phi:[0.5]] | t^2.01 + t^2.16 + 2*t^2.34 + t^2.49 + t^2.67 + t^3. + t^3.33 + t^3.51 + t^3.66 + 2*t^4.02 + 2*t^4.17 + 2*t^4.32 + 2*t^4.35 + 3*t^4.5 + t^4.65 + 4*t^4.68 + 3*t^4.83 + t^4.98 + 3*t^5.01 + 2*t^5.16 + 4*t^5.34 + 2*t^5.49 + t^5.52 + 4*t^5.67 + t^5.82 + t^5.85 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46130 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ | 0.6508 | 0.8317 | 0.7826 | [X:[], M:[1.1068, 0.7136, 0.7864], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] | t^2.14 + 2*t^2.36 + t^2.46 + t^3. + 2*t^3.32 + t^3.54 + t^3.64 + t^3.96 + t^4.08 + t^4.18 + 2*t^4.28 + 2*t^4.5 + t^4.6 + 3*t^4.72 + 2*t^4.82 + t^4.92 + t^5.14 + 2*t^5.36 + 3*t^5.46 + 4*t^5.68 + 2*t^5.78 + t^5.9 - t^4.5/y - t^4.5*y | detail |