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 |
|---|---|---|---|---|---|---|---|---|---|
| 1594 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.723 | 0.9046 | 0.7992 | [X:[], M:[1.0, 1.1624, 0.9316, 1.0, 0.7436, 0.6752, 0.6752], q:[0.7906, 0.5342], qb:[0.4658, 0.5342], phi:[0.4188]] | [X:[], M:[[0], [4], [-14], [0], [6], [-8], [-8]], q:[[1], [7]], qb:[[-7], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_5$, $ M_3$, $ M_1$, $ M_4$, $ M_2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_6$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_3M_7$, $ M_3M_5$, $ M_1M_6$, $ M_4M_6$, $ M_1M_7$, $ M_4M_7$, $ M_1M_5$, $ M_4M_5$, $ M_2M_6$, $ M_2M_7$, $ M_3^2$, $ M_2M_5$ | $M_1^2$, $ M_4^2$ | -2 | 2*t^2.03 + t^2.23 + t^2.79 + 2*t^3. + t^3.49 + 4*t^4.05 + 4*t^4.26 + 4*t^4.46 + 2*t^4.82 + 5*t^5.03 + 2*t^5.23 + 2*t^5.51 + t^5.59 + t^5.72 - 2*t^6. + 6*t^6.08 - 2*t^6.21 + 8*t^6.28 + 10*t^6.49 + 4*t^6.69 - 2*t^6.77 + 4*t^6.85 - t^6.97 + 10*t^7.05 + 7*t^7.26 + 4*t^7.46 + 3*t^7.54 + 2*t^7.62 + 2*t^7.74 + t^7.82 + t^7.95 - 6*t^8.03 + 9*t^8.1 - 10*t^8.23 + 14*t^8.31 + t^8.38 - 4*t^8.44 + 19*t^8.51 + 12*t^8.72 - 7*t^8.79 + 6*t^8.87 + 9*t^8.92 - t^4.26/y - (2*t^6.28)/y - t^6.49/y + (2*t^7.26)/y + t^7.46/y + (2*t^7.82)/y + (6*t^8.03)/y + (4*t^8.23)/y - (3*t^8.31)/y + (2*t^8.79)/y - t^4.26*y - 2*t^6.28*y - t^6.49*y + 2*t^7.26*y + t^7.46*y + 2*t^7.82*y + 6*t^8.03*y + 4*t^8.23*y - 3*t^8.31*y + 2*t^8.79*y | (2*t^2.03)/g1^8 + g1^6*t^2.23 + t^2.79/g1^14 + 2*t^3. + g1^4*t^3.49 + (4*t^4.05)/g1^16 + (4*t^4.26)/g1^2 + 4*g1^12*t^4.46 + (2*t^4.82)/g1^22 + (5*t^5.03)/g1^8 + 2*g1^6*t^5.23 + (2*t^5.51)/g1^4 + t^5.59/g1^28 + g1^10*t^5.72 - 2*t^6. + (6*t^6.08)/g1^24 - 2*g1^14*t^6.21 + (8*t^6.28)/g1^10 + 10*g1^4*t^6.49 + 4*g1^18*t^6.69 - (2*t^6.77)/g1^6 + (4*t^6.85)/g1^30 - g1^8*t^6.97 + (10*t^7.05)/g1^16 + (7*t^7.26)/g1^2 + 4*g1^12*t^7.46 + (3*t^7.54)/g1^12 + (2*t^7.62)/g1^36 + 2*g1^2*t^7.74 + t^7.82/g1^22 + g1^16*t^7.95 - (6*t^8.03)/g1^8 + (9*t^8.1)/g1^32 - 10*g1^6*t^8.23 + (14*t^8.31)/g1^18 + t^8.38/g1^42 - 4*g1^20*t^8.44 + (19*t^8.51)/g1^4 + 12*g1^10*t^8.72 - (7*t^8.79)/g1^14 + (6*t^8.87)/g1^38 + 9*g1^24*t^8.92 - t^4.26/(g1^2*y) - (2*t^6.28)/(g1^10*y) - (g1^4*t^6.49)/y + (2*t^7.26)/(g1^2*y) + (g1^12*t^7.46)/y + (2*t^7.82)/(g1^22*y) + (6*t^8.03)/(g1^8*y) + (4*g1^6*t^8.23)/y - (3*t^8.31)/(g1^18*y) + (2*t^8.79)/(g1^14*y) - (t^4.26*y)/g1^2 - (2*t^6.28*y)/g1^10 - g1^4*t^6.49*y + (2*t^7.26*y)/g1^2 + g1^12*t^7.46*y + (2*t^7.82*y)/g1^22 + (6*t^8.03*y)/g1^8 + 4*g1^6*t^8.23*y - (3*t^8.31*y)/g1^18 + (2*t^8.79*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3975 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_3^2$ | 0.7188 | 0.8974 | 0.801 | [X:[], M:[1.0, 1.1429, 1.0, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 3*t^2.14 + 3*t^3. + t^3.43 + 12*t^4.29 + 9*t^5.14 + 3*t^5.57 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3945/5488, c: 4925/5488, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 5/7, M7: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1024 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_6q_1\tilde{q}_2$ | 0.7022 | 0.8635 | 0.8132 | [X:[], M:[1.0, 1.1619, 0.9333, 1.0, 0.7429, 0.6762], q:[0.7905, 0.5334], qb:[0.4666, 0.5334], phi:[0.419]] | t^2.03 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + 2*t^4.06 + 3*t^4.26 + 4*t^4.46 + t^4.83 + 3*t^5.03 + 2*t^5.23 + t^5.51 + t^5.6 + t^5.71 - t^6. - t^4.26/y - t^4.26*y | detail |