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 |
|---|---|---|---|---|---|---|---|---|---|
| 149 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_2\phi_1^2$ | 0.5422 | 0.6869 | 0.7893 | [X:[], M:[0.7543, 1.1229], q:[0.7807, 0.7807], qb:[0.465, 0.2193], phi:[0.4386]] | [X:[], M:[[8], [-4]], q:[[-1], [-1]], qb:[[-7], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1^4$, $ M_1q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | $M_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$ | 2 | t^2.05 + t^2.26 + t^2.63 + 2*t^3. + 2*t^3.37 + t^3.74 + 2*t^4.11 + t^4.32 + t^4.53 + 2*t^4.68 + t^4.89 + 2*t^5.05 + 2*t^5.26 + 2*t^5.42 + 2*t^5.63 + t^5.79 + 2*t^6. + 2*t^6.16 + 3*t^6.37 + 4*t^6.74 + t^6.79 + 4*t^7.11 + t^7.16 + 4*t^7.47 + 2*t^7.53 + 2*t^7.84 + 2*t^7.89 + t^8.05 + 3*t^8.21 + 2*t^8.42 + 4*t^8.79 - t^4.32/y - t^6.58/y + t^7.32/y + t^7.68/y + t^7.89/y + (3*t^8.05)/y + (2*t^8.26)/y + (2*t^8.42)/y + (4*t^8.63)/y + t^8.79/y - t^8.84/y - t^4.32*y - t^6.58*y + t^7.32*y + t^7.68*y + t^7.89*y + 3*t^8.05*y + 2*t^8.26*y + 2*t^8.42*y + 4*t^8.63*y + t^8.79*y - t^8.84*y | t^2.05/g1^6 + g1^8*t^2.26 + g1^4*t^2.63 + 2*t^3. + (2*t^3.37)/g1^4 + t^3.74/g1^8 + (2*t^4.11)/g1^12 + g1^2*t^4.32 + g1^16*t^4.53 + (2*t^4.68)/g1^2 + g1^12*t^4.89 + (2*t^5.05)/g1^6 + 2*g1^8*t^5.26 + (2*t^5.42)/g1^10 + 2*g1^4*t^5.63 + t^5.79/g1^14 + 2*t^6. + (2*t^6.16)/g1^18 + (3*t^6.37)/g1^4 + (4*t^6.74)/g1^8 + g1^24*t^6.79 + (4*t^7.11)/g1^12 + g1^20*t^7.16 + (4*t^7.47)/g1^16 + 2*g1^16*t^7.53 + (2*t^7.84)/g1^20 + 2*g1^12*t^7.89 + t^8.05/g1^6 + (3*t^8.21)/g1^24 + (2*t^8.42)/g1^10 + (4*t^8.79)/g1^14 - (g1^2*t^4.32)/y - (g1^10*t^6.58)/y + (g1^2*t^7.32)/y + t^7.68/(g1^2*y) + (g1^12*t^7.89)/y + (3*t^8.05)/(g1^6*y) + (2*g1^8*t^8.26)/y + (2*t^8.42)/(g1^10*y) + (4*g1^4*t^8.63)/y + t^8.79/(g1^14*y) - (g1^18*t^8.84)/y - g1^2*t^4.32*y - g1^10*t^6.58*y + g1^2*t^7.32*y + (t^7.68*y)/g1^2 + g1^12*t^7.89*y + (3*t^8.05*y)/g1^6 + 2*g1^8*t^8.26*y + (2*t^8.42*y)/g1^10 + 4*g1^4*t^8.63*y + (t^8.79*y)/g1^14 - g1^18*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 239 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_2\phi_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.4995 | 0.612 | 0.8162 | [X:[1.4], M:[0.6, 1.2], q:[0.8, 0.8], qb:[0.6, 0.2], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 999/2000, c: 153/250, X1: 7/5, M1: 3/5, M2: 6/5, q1: 4/5, q2: 4/5, qb1: 3/5, qb2: 1/5, phi1: 2/5} |
| 243 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_2\phi_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5406 | 0.6835 | 0.791 | [X:[], M:[0.7143, 1.1429], q:[0.7857, 0.7857], qb:[0.5, 0.2143], phi:[0.4286]] | 2*t^2.14 + t^2.57 + 2*t^3. + 2*t^3.43 + t^3.86 + 4*t^4.29 + 3*t^4.71 + 4*t^5.14 + 4*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 2967/5488, c: 3751/5488, M1: 5/7, M2: 8/7, q1: 11/14, q2: 11/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 92 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6484 | 0.7955 | 0.815 | [X:[], M:[0.7061, 0.6966], q:[0.8243, 0.8243], qb:[0.4696, 0.4759], phi:[0.3515]] | t^2.09 + t^2.11 + t^2.12 + t^2.84 + t^3.87 + t^3.88 + t^3.89 + 2*t^3.9 + t^4.18 + t^4.2 + t^4.21 + t^4.22 + t^4.23 + t^4.24 + t^4.93 + 2*t^4.95 + t^4.96 + t^5.67 + t^5.96 + t^5.97 + t^5.98 + 2*t^5.99 - t^6. - t^4.05/y - t^4.05*y | detail |