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 |
|---|---|---|---|---|---|---|---|---|---|
| 1014 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6606 | 0.8481 | 0.7789 | [X:[], M:[1.2191, 1.1096, 0.7809, 0.8904, 0.7809, 0.7191], q:[0.75, 0.4213], qb:[0.3596, 0.4691], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [-2], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_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_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_5M_6$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4M_6$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_4M_5$, $ M_6\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_3q_1q_2$, $ M_5q_1q_2$ | $M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_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 |
|---|---|---|---|---|---|---|---|---|
| 1584 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6815 | 0.8895 | 0.7661 | [X:[], M:[1.2196, 1.1098, 0.7804, 0.8902, 0.7804, 0.7196, 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 | |
| 2114 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ | 0.6706 | 0.8652 | 0.7752 | [X:[], M:[1.2246, 1.1123, 0.7754, 0.8877, 0.7754, 0.7246, 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 | |
| 2115 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6784 | 0.88 | 0.7709 | [X:[], M:[1.2258, 1.1129, 0.7742, 0.8871, 0.7742, 0.7258, 0.7742], q:[0.75, 0.4113], qb:[0.3629, 0.4758], phi:[0.5]] | t^2.18 + 3*t^2.32 + t^2.52 + t^2.66 + t^3. + t^3.34 + t^3.48 + t^3.97 + t^4.02 + t^4.16 + 2*t^4.35 + 3*t^4.5 + 6*t^4.65 + t^4.69 + 4*t^4.84 + 3*t^4.98 + t^5.03 + 2*t^5.18 + 4*t^5.32 + 2*t^5.52 + 4*t^5.66 + 2*t^5.81 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 1585 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.6467 | 0.8249 | 0.784 | [X:[], M:[1.2339, 1.1169, 0.7661, 0.8831, 0.7661, 0.7339, 1.1492], q:[0.75, 0.3992], qb:[0.3669, 0.4839], phi:[0.5]] | t^2.2 + 2*t^2.3 + t^2.65 + t^3. + t^3.35 + 2*t^3.45 + t^3.7 + t^3.9 + t^4.05 + t^4.15 + 2*t^4.4 + 2*t^4.5 + 3*t^4.6 + t^4.85 + 2*t^4.95 + t^5.2 + 3*t^5.3 + t^5.55 + 4*t^5.65 + 3*t^5.75 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 637 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ | 0.6406 | 0.8108 | 0.7901 | [X:[], M:[1.223, 1.1115, 0.777, 0.8885, 0.777], q:[0.75, 0.4156], qb:[0.3615, 0.473], phi:[0.5]] | 2*t^2.33 + t^2.5 + t^2.67 + t^3. + t^3.33 + t^3.5 + t^3.67 + t^3.83 + t^3.99 + t^4. + t^4.17 + t^4.34 + 3*t^4.66 + 2*t^4.83 + 2*t^5. + t^5.01 + t^5.17 + 3*t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 + t^6. - t^4.5/y - t^4.5*y | detail |