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 |
|---|---|---|---|---|---|---|---|---|---|
| 2046 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6304 | 0.823 | 0.766 | [X:[], M:[0.9729, 1.0814, 1.0271, 0.9186, 0.7704, 0.7161], q:[0.7432, 0.2839], qb:[0.4322, 0.4864], phi:[0.5136]] | [X:[], M:[[4], [-12], [-4], [12], [-3], [5]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | $M_4\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$ | -1 | 2*t^2.15 + 2*t^2.31 + t^2.76 + 2*t^3.08 + t^3.24 + t^3.53 + t^3.69 + t^4.13 + 4*t^4.3 + 5*t^4.46 + 3*t^4.62 + 2*t^4.9 + 2*t^5.07 + 4*t^5.23 + 5*t^5.39 + t^5.51 + t^5.56 + 2*t^5.67 + 4*t^5.84 - t^6. + 3*t^6.28 + 2*t^6.33 + 7*t^6.44 + t^6.49 + 8*t^6.61 + 7*t^6.77 + t^6.89 + 2*t^6.93 + 4*t^7.05 - t^7.1 + 6*t^7.22 + 7*t^7.38 + 7*t^7.54 + 3*t^7.66 + 5*t^7.7 + 6*t^7.82 + t^7.87 + 5*t^7.99 - 2*t^8.15 + 2*t^8.27 - 4*t^8.31 + 6*t^8.43 + 2*t^8.47 + 13*t^8.59 + 3*t^8.64 + 10*t^8.76 + t^8.8 + 8*t^8.92 - t^4.54/y - t^6.69/y - t^6.85/y + t^7.3/y + (5*t^7.46)/y + (2*t^7.9)/y + (2*t^8.07)/y + (5*t^8.23)/y + (7*t^8.39)/y + (2*t^8.56)/y + (2*t^8.67)/y + (5*t^8.84)/y - t^4.54*y - t^6.69*y - t^6.85*y + t^7.3*y + 5*t^7.46*y + 2*t^7.9*y + 2*t^8.07*y + 5*t^8.23*y + 7*t^8.39*y + 2*t^8.56*y + 2*t^8.67*y + 5*t^8.84*y | 2*g1^5*t^2.15 + (2*t^2.31)/g1^3 + g1^12*t^2.76 + (2*t^3.08)/g1^4 + t^3.24/g1^12 + g1^11*t^3.53 + g1^3*t^3.69 + g1^18*t^4.13 + 4*g1^10*t^4.3 + 5*g1^2*t^4.46 + (3*t^4.62)/g1^6 + 2*g1^17*t^4.9 + 2*g1^9*t^5.07 + 4*g1*t^5.23 + (5*t^5.39)/g1^7 + g1^24*t^5.51 + t^5.56/g1^15 + 2*g1^16*t^5.67 + 4*g1^8*t^5.84 - t^6. + 3*g1^23*t^6.28 + (2*t^6.33)/g1^16 + 7*g1^15*t^6.44 + t^6.49/g1^24 + 8*g1^7*t^6.61 + (7*t^6.77)/g1 + g1^30*t^6.89 + (2*t^6.93)/g1^9 + 4*g1^22*t^7.05 - t^7.1/g1^17 + 6*g1^14*t^7.22 + 7*g1^6*t^7.38 + (7*t^7.54)/g1^2 + 3*g1^29*t^7.66 + (5*t^7.7)/g1^10 + 6*g1^21*t^7.82 + t^7.87/g1^18 + 5*g1^13*t^7.99 - 2*g1^5*t^8.15 + 2*g1^36*t^8.27 - (4*t^8.31)/g1^3 + 6*g1^28*t^8.43 + (2*t^8.47)/g1^11 + 13*g1^20*t^8.59 + (3*t^8.64)/g1^19 + 10*g1^12*t^8.76 + t^8.8/g1^27 + 8*g1^4*t^8.92 - t^4.54/(g1^2*y) - (g1^3*t^6.69)/y - t^6.85/(g1^5*y) + (g1^10*t^7.3)/y + (5*g1^2*t^7.46)/y + (2*g1^17*t^7.9)/y + (2*g1^9*t^8.07)/y + (5*g1*t^8.23)/y + (7*t^8.39)/(g1^7*y) + (2*t^8.56)/(g1^15*y) + (2*g1^16*t^8.67)/y + (5*g1^8*t^8.84)/y - (t^4.54*y)/g1^2 - g1^3*t^6.69*y - (t^6.85*y)/g1^5 + g1^10*t^7.3*y + 5*g1^2*t^7.46*y + 2*g1^17*t^7.9*y + 2*g1^9*t^8.07*y + 5*g1*t^8.23*y + (7*t^8.39*y)/g1^7 + (2*t^8.56*y)/g1^15 + 2*g1^16*t^8.67*y + 5*g1^8*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 |
|---|---|---|---|---|---|---|---|---|
| 3120 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6462 | 0.8496 | 0.7606 | [X:[], M:[0.9822, 1.0534, 1.0178, 0.9466, 0.7634, 0.7277, 0.799], q:[0.7455, 0.2723], qb:[0.4555, 0.4911], phi:[0.5089]] | 2*t^2.18 + 2*t^2.29 + t^2.4 + t^2.84 + 2*t^3.05 + t^3.16 + t^3.71 + t^4.26 + 4*t^4.37 + 5*t^4.47 + 5*t^4.58 + 2*t^4.69 + t^4.79 + 2*t^5.02 + 2*t^5.13 + 5*t^5.24 + 5*t^5.34 + 3*t^5.45 + t^5.56 + t^5.68 + 2*t^5.89 - t^6. - t^4.53/y - t^4.53*y | detail | |
| 3121 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6486 | 0.8552 | 0.7584 | [X:[], M:[0.9749, 1.0753, 1.0251, 0.9247, 0.7688, 0.7186, 0.7688], q:[0.7437, 0.2814], qb:[0.4373, 0.4875], phi:[0.5125]] | 2*t^2.16 + 3*t^2.31 + t^2.77 + 2*t^3.08 + t^3.23 + t^3.54 + t^4.16 + 4*t^4.31 + 7*t^4.46 + 6*t^4.61 + 2*t^4.93 + 3*t^5.08 + 4*t^5.23 + 7*t^5.38 + 2*t^5.53 + t^5.55 + 2*t^5.7 + 3*t^5.85 - 3*t^6. - t^4.54/y - t^4.54*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 |
|---|---|---|---|---|---|---|---|---|---|
| 849 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6327 | 0.8272 | 0.7649 | [X:[], M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]] | 4*t^2.22 + t^2.67 + 2*t^3.11 + t^3.33 + 2*t^3.56 + 3*t^4.22 + 10*t^4.44 + 4*t^4.89 + 9*t^5.33 + 2*t^5.56 + 9*t^5.78 - 5*t^6. - t^4.56/y - t^4.56*y | detail | {a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27} |