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 |
|---|---|---|---|---|---|---|---|---|---|
| 1068 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_6$ | 0.6304 | 0.7811 | 0.807 | [X:[], M:[0.8118, 1.2, 0.7882, 0.8, 0.7882, 1.2], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [-1], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ \phi_1^2$, $ M_1$, $ \phi_1q_2^2$, $ q_1q_2$, $ M_2$, $ M_6$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_3$, $ M_1M_5$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ M_3q_1q_2$, $ M_5q_1q_2$, $ \phi_1^3q_2^2$, $ M_2M_3$, $ M_2M_5$, $ M_3M_6$, $ M_5M_6$ | $M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$ | 0 | 2*t^2.36 + t^2.4 + t^2.44 + t^3.53 + t^3.56 + 2*t^3.6 + t^3.67 + 3*t^4.73 + 2*t^4.76 + 4*t^4.8 + t^4.84 + t^4.87 + 2*t^5.89 + 2*t^5.93 + 4*t^5.96 + 2*t^6.04 + t^6.11 + t^7.06 + 5*t^7.09 + 4*t^7.13 + 5*t^7.16 + 3*t^7.2 + t^7.24 + t^7.27 + t^7.31 + t^7.34 + 3*t^8.26 + 3*t^8.29 + 6*t^8.33 - 2*t^8.36 + 3*t^8.4 - 4*t^8.44 + 2*t^8.47 + t^8.54 - t^4.2/y - (2*t^6.56)/y - t^6.64/y + t^7.73/y + (3*t^7.76)/y + (2*t^7.8)/y + (3*t^7.84)/y + (2*t^8.89)/y + (6*t^8.96)/y - t^4.2*y - 2*t^6.56*y - t^6.64*y + t^7.73*y + 3*t^7.76*y + 2*t^7.8*y + 3*t^7.84*y + 2*t^8.89*y + 6*t^8.96*y | (2*t^2.36)/g1 + t^2.4 + g1*t^2.44 + t^3.53/g1^2 + t^3.56/g1 + 2*t^3.6 + g1^2*t^3.67 + (3*t^4.73)/g1^2 + (2*t^4.76)/g1 + 4*t^4.8 + g1*t^4.84 + g1^2*t^4.87 + (2*t^5.89)/g1^3 + (2*t^5.93)/g1^2 + (4*t^5.96)/g1 + 2*g1*t^6.04 + g1^3*t^6.11 + t^7.06/g1^4 + (5*t^7.09)/g1^3 + (4*t^7.13)/g1^2 + (5*t^7.16)/g1 + 3*t^7.2 + g1*t^7.24 + g1^2*t^7.27 + g1^3*t^7.31 + g1^4*t^7.34 + (3*t^8.26)/g1^4 + (3*t^8.29)/g1^3 + (6*t^8.33)/g1^2 - (2*t^8.36)/g1 + 3*t^8.4 - 4*g1*t^8.44 + 2*g1^2*t^8.47 + g1^4*t^8.54 - t^4.2/y - (2*t^6.56)/(g1*y) - (g1*t^6.64)/y + t^7.73/(g1^2*y) + (3*t^7.76)/(g1*y) + (2*t^7.8)/y + (3*g1*t^7.84)/y + (2*t^8.89)/(g1^3*y) + (6*t^8.96)/(g1*y) - t^4.2*y - (2*t^6.56*y)/g1 - g1*t^6.64*y + (t^7.73*y)/g1^2 + (3*t^7.76*y)/g1 + 2*t^7.8*y + 3*g1*t^7.84*y + (2*t^8.89*y)/g1^3 + (6*t^8.96*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1661 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_6$ + $ M_1M_7$ | 0.615 | 0.7557 | 0.8139 | [X:[], M:[0.8252, 1.2, 0.7748, 0.8, 0.7748, 1.2, 1.1748], q:[0.8, 0.3748], qb:[0.8, 0.4252], phi:[0.4]] | 2*t^2.32 + t^2.4 + t^3.45 + 2*t^3.52 + 2*t^3.6 + t^3.75 + 3*t^4.65 + 2*t^4.72 + 2*t^4.8 + 2*t^5.77 + 4*t^5.85 + 4*t^5.92 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 1662 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_6$ + $ M_7\phi_1q_2^2$ | 0.6468 | 0.8099 | 0.7986 | [X:[], M:[0.7907, 1.2, 0.8093, 0.8, 0.8093, 1.2, 0.7814], q:[0.8, 0.4093], qb:[0.8, 0.3907], phi:[0.4]] | t^2.34 + t^2.37 + t^2.4 + 2*t^2.43 + t^3.54 + 2*t^3.6 + t^3.63 + t^4.69 + t^4.72 + 2*t^4.74 + 3*t^4.77 + 4*t^4.8 + 2*t^4.83 + 3*t^4.86 + t^5.89 + t^5.92 + 2*t^5.94 + 3*t^5.97 - t^4.2/y - t^4.2*y | detail | |
| 2126 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_6$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.649 | 0.8166 | 0.7948 | [X:[], M:[0.8272, 1.2, 0.7728, 0.8, 0.7728, 1.2, 0.7456], q:[0.8, 0.3728], qb:[0.8, 0.4272], phi:[0.4]] | t^2.24 + 2*t^2.32 + t^2.4 + t^2.48 + t^3.44 + t^3.52 + 2*t^3.6 + t^4.47 + 2*t^4.56 + 4*t^4.64 + 3*t^4.72 + 4*t^4.8 + t^4.88 + t^4.96 + t^5.67 + 3*t^5.76 + 4*t^5.84 + 4*t^5.92 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 666 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6469 | 0.8101 | 0.7985 | [X:[], M:[0.8118, 1.2, 0.7882, 0.8, 0.7882], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | 2*t^2.36 + 2*t^2.4 + t^2.44 + t^3.53 + t^3.56 + t^3.6 + t^3.67 + 3*t^4.73 + 4*t^4.76 + 6*t^4.8 + 2*t^4.84 + t^4.87 + 2*t^5.89 + 3*t^5.93 + 3*t^5.96 - t^4.2/y - t^4.2*y | detail |