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 |
|---|---|---|---|---|---|---|---|---|---|
| 308 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ + $ M_2X_1$ | 0.5986 | 0.7318 | 0.8179 | [X:[1.4911], M:[0.8772, 0.5089, 0.8772, 1.0], q:[0.8114, 0.8114], qb:[0.3114, 0.5569], phi:[0.3772]] | [X:[[0, 8]], M:[[1, -3], [0, -8], [-1, -1], [0, 0]], q:[[-1, 2], [1, 0]], qb:[[0, 1], [0, 5]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ X_1$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_3^2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.26 + t^2.6 + 2*t^2.63 + t^3. + t^3.74 + 2*t^4.1 + t^4.47 + t^4.53 + 2*t^4.87 + 2*t^4.9 + t^5.21 + 2*t^5.24 + 3*t^5.26 + t^5.6 - t^6. + t^6.34 + 2*t^6.37 - t^6.4 + 2*t^6.71 + 4*t^6.74 - 2*t^6.76 + t^6.79 + t^7.08 + 2*t^7.1 + 2*t^7.16 + t^7.47 + 2*t^7.5 + 3*t^7.53 + t^7.81 + 2*t^7.84 + 2*t^7.87 + 2*t^7.9 + 4*t^8.21 - 2*t^8.24 - 2*t^8.26 + 2*t^8.58 - 2*t^8.6 - 4*t^8.63 + 2*t^8.95 + 2*t^8.97 - t^4.13/y - t^6.4/y - (2*t^6.76)/y + (2*t^7.5)/y + (2*t^7.87)/y + (2*t^7.9)/y + (2*t^8.24)/y + (2*t^8.26)/y + t^8.6/y + (2*t^8.63)/y - t^8.66/y - t^4.13*y - t^6.4*y - 2*t^6.76*y + 2*t^7.5*y + 2*t^7.87*y + 2*t^7.9*y + 2*t^8.24*y + 2*t^8.26*y + t^8.6*y + 2*t^8.63*y - t^8.66*y | t^2.26/g2^4 + g2^6*t^2.6 + (g1*t^2.63)/g2^3 + t^2.63/(g1*g2) + t^3. + g2^4*t^3.74 + g1*g2^5*t^4.1 + (g2^7*t^4.1)/g1 + g2^8*t^4.47 + t^4.53/g2^8 + 2*g2^2*t^4.87 + (g1*t^4.9)/g2^7 + t^4.9/(g1*g2^5) + g2^12*t^5.21 + g1*g2^3*t^5.24 + (g2^5*t^5.24)/g1 + (g1^2*t^5.26)/g2^6 + t^5.26/g2^4 + t^5.26/(g1^2*g2^2) + g2^6*t^5.6 - t^6. + g2^10*t^6.34 + g1*g2*t^6.37 + (g2^3*t^6.37)/g1 - t^6.4/g2^6 + g1*g2^11*t^6.71 + (g2^13*t^6.71)/g1 + g1^2*g2^2*t^6.74 + 2*g2^4*t^6.74 + (g2^6*t^6.74)/g1^2 - (g1*t^6.76)/g2^5 - t^6.76/(g1*g2^3) + t^6.79/g2^12 + g2^14*t^7.08 + g1*g2^5*t^7.1 + (g2^7*t^7.1)/g1 + (g1*t^7.16)/g2^11 + t^7.16/(g1*g2^9) + g2^8*t^7.47 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + (g1^2*t^7.53)/g2^10 + t^7.53/g2^8 + t^7.53/(g1^2*g2^6) + g2^18*t^7.81 + g1*g2^9*t^7.84 + (g2^11*t^7.84)/g1 + g1^2*t^7.87 + (g2^4*t^7.87)/g1^2 + (g1^3*t^7.9)/g2^9 + t^7.9/(g1^3*g2^3) + g1^2*g2^10*t^8.21 + 2*g2^12*t^8.21 + (g2^14*t^8.21)/g1^2 - g1*g2^3*t^8.24 - (g2^5*t^8.24)/g1 - (2*t^8.26)/g2^4 + g1*g2^13*t^8.58 + (g2^15*t^8.58)/g1 - 2*g2^6*t^8.6 - (2*g1*t^8.63)/g2^3 - (2*t^8.63)/(g1*g2) + 2*g2^16*t^8.95 + g1*g2^7*t^8.97 + (g2^9*t^8.97)/g1 - t^4.13/(g2^2*y) - t^6.4/(g2^6*y) - (g1*t^6.76)/(g2^5*y) - t^6.76/(g1*g2^3*y) + (g1*t^7.5)/(g2*y) + (g2*t^7.5)/(g1*y) + (2*g2^2*t^7.87)/y + (g1*t^7.9)/(g2^7*y) + t^7.9/(g1*g2^5*y) + (g1*g2^3*t^8.24)/y + (g2^5*t^8.24)/(g1*y) + (2*t^8.26)/(g2^4*y) + (g2^6*t^8.6)/y + (g1*t^8.63)/(g2^3*y) + t^8.63/(g1*g2*y) - t^8.66/(g2^10*y) - (t^4.13*y)/g2^2 - (t^6.4*y)/g2^6 - (g1*t^6.76*y)/g2^5 - (t^6.76*y)/(g1*g2^3) + (g1*t^7.5*y)/g2 + (g2*t^7.5*y)/g1 + 2*g2^2*t^7.87*y + (g1*t^7.9*y)/g2^7 + (t^7.9*y)/(g1*g2^5) + g1*g2^3*t^8.24*y + (g2^5*t^8.24*y)/g1 + (2*t^8.26*y)/g2^4 + g2^6*t^8.6*y + (g1*t^8.63*y)/g2^3 + (t^8.63*y)/(g1*g2) - (t^8.66*y)/g2^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 483 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ + $ M_2X_1$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_2$ | 0.5651 | 0.6693 | 0.8444 | [X:[1.6667, 1.3333], M:[0.8333, 0.3333, 0.8333, 1.0], q:[0.8333, 0.8333], qb:[0.3333, 0.6667], phi:[0.3333]] | 2*t^2.5 + 2*t^3. + 2*t^4. + 2*t^4.5 + 4*t^5. + 2*t^5.5 - t^6. - t^4./y - t^4.*y | detail | {a: 217/384, c: 257/384, X1: 5/3, X2: 4/3, M1: 5/6, M2: 1/3, M3: 5/6, M4: 1, q1: 5/6, q2: 5/6, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 195 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6895 | 0.8748 | 0.7882 | [X:[], M:[0.692, 0.7027, 0.692, 0.6884], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]] | t^2.07 + 2*t^2.08 + t^2.09 + t^2.11 + t^2.87 + 2*t^3.9 + t^3.91 + t^4.13 + 2*t^4.14 + 4*t^4.15 + 2*t^4.16 + 2*t^4.17 + 2*t^4.18 + t^4.19 + t^4.22 + t^4.94 + 2*t^4.95 + 2*t^4.96 + t^4.98 + t^5.74 + 2*t^5.97 + 4*t^5.98 + 2*t^5.99 - 2*t^6. - t^4.04/y - t^4.04*y | detail |