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 |
|---|---|---|---|---|---|---|---|---|---|
| 1671 | 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_2M_4$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.6468 | 0.81 | 0.7986 | [X:[], M:[0.7897, 1.2, 0.8103, 0.8, 0.8, 1.2103, 0.7793], q:[0.8, 0.4103], qb:[0.8, 0.3897], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [0], [-1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_6$, $ q_1q_2$, $ M_7^2$, $ M_4M_7$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_3M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_3M_4$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_7\phi_1\tilde{q}_2^2$, $ M_7q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$, $ M_6M_7$, $ M_7q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $\phi_1\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$ | -2 | t^2.34 + 3*t^2.4 + t^2.43 + t^3.54 + t^3.57 + 2*t^3.63 + t^4.68 + 3*t^4.74 + t^4.77 + 7*t^4.8 + 3*t^4.83 + t^4.86 + t^5.88 + t^5.91 + 2*t^5.94 + 4*t^5.97 - 2*t^6. + 4*t^6.03 + t^6.06 + t^7.01 + 4*t^7.08 + 2*t^7.11 + 6*t^7.14 + t^7.17 + 11*t^7.2 + 3*t^7.23 + 4*t^7.26 + t^7.29 + t^8.21 + t^8.24 + 2*t^8.28 + 4*t^8.31 + t^8.34 + 5*t^8.37 - 7*t^8.4 + 4*t^8.43 + t^8.49 - t^4.2/y - t^6.54/y - (2*t^6.6)/y - t^6.63/y + (3*t^7.74)/y + (2*t^7.77)/y + (5*t^7.8)/y + (3*t^7.83)/y + t^7.86/y + t^8.91/y + t^8.94/y + (5*t^8.97)/y - t^4.2*y - t^6.54*y - 2*t^6.6*y - t^6.63*y + 3*t^7.74*y + 2*t^7.77*y + 5*t^7.8*y + 3*t^7.83*y + t^7.86*y + t^8.91*y + t^8.94*y + 5*t^8.97*y | g1^2*t^2.34 + 3*t^2.4 + t^2.43/g1 + g1^2*t^3.54 + g1*t^3.57 + (2*t^3.63)/g1 + g1^4*t^4.68 + 3*g1^2*t^4.74 + g1*t^4.77 + 7*t^4.8 + (3*t^4.83)/g1 + t^4.86/g1^2 + g1^4*t^5.88 + g1^3*t^5.91 + 2*g1^2*t^5.94 + 4*g1*t^5.97 - 2*t^6. + (4*t^6.03)/g1 + t^6.06/g1^2 + g1^6*t^7.01 + 4*g1^4*t^7.08 + 2*g1^3*t^7.11 + 6*g1^2*t^7.14 + g1*t^7.17 + 11*t^7.2 + (3*t^7.23)/g1 + (4*t^7.26)/g1^2 + t^7.29/g1^3 + g1^6*t^8.21 + g1^5*t^8.24 + 2*g1^4*t^8.28 + 4*g1^3*t^8.31 + g1^2*t^8.34 + 5*g1*t^8.37 - 7*t^8.4 + (4*t^8.43)/g1 + t^8.49/g1^3 - t^4.2/y - (g1^2*t^6.54)/y - (2*t^6.6)/y - t^6.63/(g1*y) + (3*g1^2*t^7.74)/y + (2*g1*t^7.77)/y + (5*t^7.8)/y + (3*t^7.83)/(g1*y) + t^7.86/(g1^2*y) + (g1^3*t^8.91)/y + (g1^2*t^8.94)/y + (5*g1*t^8.97)/y - t^4.2*y - g1^2*t^6.54*y - 2*t^6.6*y - (t^6.63*y)/g1 + 3*g1^2*t^7.74*y + 2*g1*t^7.77*y + 5*t^7.8*y + (3*t^7.83*y)/g1 + (t^7.86*y)/g1^2 + g1^3*t^8.91*y + g1^2*t^8.94*y + 5*g1*t^8.97*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 4062 | $\phi_1q_1^2$ + $ 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_2M_4$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ | 0.6313 | 0.784 | 0.8052 | [X:[], M:[0.7784, 1.2, 0.8216, 0.8, 0.8, 1.2216, 0.7567, 1.1784], q:[0.8, 0.4216], qb:[0.8, 0.3784], phi:[0.4]] | t^2.27 + 3*t^2.4 + t^3.47 + 2*t^3.54 + 2*t^3.66 + t^4.54 + 3*t^4.67 + 7*t^4.8 + t^5.74 + 2*t^5.81 + 2*t^5.87 + 6*t^5.94 - 3*t^6. - t^4.2/y - t^4.2*y | detail | |
| 4061 | $\phi_1q_1^2$ + $ 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_2M_4$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.6138 | 0.77 | 0.7971 | [X:[], M:[0.9, 1.2, 0.7, 0.8, 0.8, 1.1, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | t^2.1 + 3*t^2.4 + t^3. + 2*t^3.3 + t^3.9 + 2*t^4.2 + 3*t^4.5 + 7*t^4.8 + t^5.1 + 4*t^5.4 + 4*t^5.7 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 19641/32000, c: 24641/32000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 4/5, M6: 11/10, M7: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1075 | 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_2M_4$ + $ M_2M_5$ + $ M_1M_6$ | 0.6304 | 0.7813 | 0.8069 | [X:[], M:[0.8136, 1.2, 0.7864, 0.8, 0.8, 1.1864], q:[0.8, 0.3864], qb:[0.8, 0.4136], phi:[0.4]] | t^2.36 + 3*t^2.4 + t^3.52 + 2*t^3.56 + t^3.64 + t^3.68 + t^4.72 + 3*t^4.76 + 7*t^4.8 + t^5.88 + 4*t^5.92 + 4*t^5.96 - 2*t^6. - t^4.2/y - t^4.2*y | detail |