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 |
|---|---|---|---|---|---|---|---|---|---|
| 1401 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_3\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7198 | 0.8904 | 0.8084 | [X:[], M:[1.0, 0.8691, 1.0654, 0.8037, 1.0, 0.8691], q:[0.4673, 0.5327], qb:[0.4673, 0.6636], phi:[0.4673]] | [X:[], M:[[0], [-4], [2], [-6], [0], [-4]], q:[[-1], [1]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_4M_6$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ \phi_1^4$, $ M_2M_3$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$ | $M_1M_5$ | -2 | t^2.41 + 2*t^2.61 + t^2.8 + 2*t^3. + t^3.2 + 3*t^4.21 + 2*t^4.4 + t^4.6 + 2*t^4.79 + t^4.82 + t^4.99 + 2*t^5.02 + 4*t^5.21 + t^5.38 + 2*t^5.41 + 5*t^5.61 + 2*t^5.8 - 2*t^6. - t^6.39 - 2*t^6.59 + 3*t^6.62 + 6*t^6.81 + 7*t^7.01 + 8*t^7.21 + t^7.23 + 4*t^7.4 + 2*t^7.43 + 2*t^7.6 + 4*t^7.63 + 6*t^7.82 + 5*t^8.02 + 6*t^8.21 + 4*t^8.41 - 2*t^8.61 - 3*t^8.8 - t^4.4/y - t^6.81/y - (2*t^7.01)/y + (2*t^7.79)/y + t^7.99/y + (2*t^8.02)/y + (2*t^8.21)/y + (4*t^8.41)/y + (5*t^8.61)/y + (4*t^8.8)/y - t^4.4*y - t^6.81*y - 2*t^7.01*y + 2*t^7.79*y + t^7.99*y + 2*t^8.02*y + 2*t^8.21*y + 4*t^8.41*y + 5*t^8.61*y + 4*t^8.8*y | t^2.41/g1^6 + (2*t^2.61)/g1^4 + t^2.8/g1^2 + 2*t^3. + g1^2*t^3.2 + (3*t^4.21)/g1^3 + (2*t^4.4)/g1 + g1*t^4.6 + 2*g1^3*t^4.79 + t^4.82/g1^12 + g1^5*t^4.99 + (2*t^5.02)/g1^10 + (4*t^5.21)/g1^8 + g1^9*t^5.38 + (2*t^5.41)/g1^6 + (5*t^5.61)/g1^4 + (2*t^5.8)/g1^2 - 2*t^6. - g1^4*t^6.39 - 2*g1^6*t^6.59 + (3*t^6.62)/g1^9 + (6*t^6.81)/g1^7 + (7*t^7.01)/g1^5 + (8*t^7.21)/g1^3 + t^7.23/g1^18 + (4*t^7.4)/g1 + (2*t^7.43)/g1^16 + 2*g1*t^7.6 + (4*t^7.63)/g1^14 + (6*t^7.82)/g1^12 + (5*t^8.02)/g1^10 + (6*t^8.21)/g1^8 + (4*t^8.41)/g1^6 - (2*t^8.61)/g1^4 - (3*t^8.8)/g1^2 - t^4.4/(g1*y) - t^6.81/(g1^7*y) - (2*t^7.01)/(g1^5*y) + (2*g1^3*t^7.79)/y + (g1^5*t^7.99)/y + (2*t^8.02)/(g1^10*y) + (2*t^8.21)/(g1^8*y) + (4*t^8.41)/(g1^6*y) + (5*t^8.61)/(g1^4*y) + (4*t^8.8)/(g1^2*y) - (t^4.4*y)/g1 - (t^6.81*y)/g1^7 - (2*t^7.01*y)/g1^5 + 2*g1^3*t^7.79*y + g1^5*t^7.99*y + (2*t^8.02*y)/g1^10 + (2*t^8.21*y)/g1^8 + (4*t^8.41*y)/g1^6 + (5*t^8.61*y)/g1^4 + (4*t^8.8*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2464 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_3\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ | 0.7262 | 0.9027 | 0.8045 | [X:[], M:[1.0, 0.8561, 1.0719, 0.7842, 1.0, 0.8561, 0.9281], q:[0.464, 0.536], qb:[0.464, 0.6798], phi:[0.464]] | t^2.35 + 2*t^2.57 + 2*t^2.78 + 2*t^3. + 3*t^4.18 + 2*t^4.39 + t^4.61 + t^4.71 + 2*t^4.82 + 2*t^4.92 + t^5.04 + 5*t^5.14 + 4*t^5.35 + t^5.47 + 6*t^5.57 + 2*t^5.78 - 3*t^6. - t^4.39/y - t^4.39*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 |
|---|---|---|---|---|---|---|---|---|---|
| 914 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_3\phi_1^2$ | 0.7092 | 0.8704 | 0.8148 | [X:[], M:[1.0, 0.8939, 1.053, 0.8409, 1.0], q:[0.4735, 0.5265], qb:[0.4735, 0.6326], phi:[0.4735]] | t^2.52 + t^2.68 + t^2.84 + 2*t^3. + t^3.16 + t^3.32 + 3*t^4.26 + 2*t^4.42 + t^4.58 + 2*t^4.74 + t^4.9 + t^5.05 + t^5.2 + t^5.22 + 2*t^5.36 + t^5.52 + 3*t^5.68 + 2*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail |