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 |
|---|---|---|---|---|---|---|---|---|---|
| 3086 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6504 | 0.8574 | 0.7586 | [X:[], M:[0.9729, 1.0814, 0.9729, 0.9186, 0.7161, 0.7703, 0.8246], q:[0.7432, 0.2839], qb:[0.4864, 0.4322], phi:[0.5136]] | [X:[], M:[[4], [-12], [4], [12], [5], [-3], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ M_6$, $ q_2\tilde{q}_1$, $ M_7$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_5M_7$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_7q_2\tilde{q}_2$, $ M_6M_7$, $ M_7q_2\tilde{q}_1$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_7^2$, $ M_1M_5$, $ M_3M_5$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_7$, $ M_3M_7$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_7\phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$ | $M_4\phi_1q_2^2$, $ q_1q_2\tilde{q}_1^2$ | -1 | 2*t^2.15 + 2*t^2.31 + t^2.47 + t^2.76 + 2*t^2.92 + t^3.24 + t^3.69 + t^4.13 + 4*t^4.3 + 5*t^4.46 + 5*t^4.62 + 2*t^4.78 + 2*t^4.9 + t^4.95 + 6*t^5.07 + 5*t^5.23 + 3*t^5.39 + t^5.51 + t^5.56 + 2*t^5.67 + t^5.72 + 3*t^5.84 - t^6. + 2*t^6.28 + 7*t^6.44 + t^6.49 + 9*t^6.61 + 8*t^6.77 + t^6.89 + 7*t^6.93 + 5*t^7.05 + 4*t^7.1 + 11*t^7.22 + 2*t^7.26 + 11*t^7.38 + t^7.42 + 9*t^7.54 + 2*t^7.66 + 4*t^7.7 + 6*t^7.82 + 4*t^7.87 + 7*t^7.99 + t^8.03 - t^8.15 + t^8.19 + 2*t^8.27 - 5*t^8.31 + 6*t^8.43 - 5*t^8.47 + 12*t^8.59 + t^8.64 + 12*t^8.76 + t^8.8 + 5*t^8.92 + t^8.96 - t^4.54/y - t^6.69/y - t^6.85/y - t^7.01/y + t^7.3/y + (3*t^7.46)/y + (4*t^7.62)/y + (2*t^7.78)/y + (2*t^7.9)/y + (7*t^8.07)/y + (6*t^8.23)/y + (5*t^8.39)/y + (2*t^8.56)/y + (2*t^8.67)/y + t^8.72/y + (2*t^8.84)/y - t^4.54*y - t^6.69*y - t^6.85*y - t^7.01*y + t^7.3*y + 3*t^7.46*y + 4*t^7.62*y + 2*t^7.78*y + 2*t^7.9*y + 7*t^8.07*y + 6*t^8.23*y + 5*t^8.39*y + 2*t^8.56*y + 2*t^8.67*y + t^8.72*y + 2*t^8.84*y | 2*g1^5*t^2.15 + (2*t^2.31)/g1^3 + t^2.47/g1^11 + g1^12*t^2.76 + 2*g1^4*t^2.92 + t^3.24/g1^12 + g1^3*t^3.69 + g1^18*t^4.13 + 4*g1^10*t^4.3 + 5*g1^2*t^4.46 + (5*t^4.62)/g1^6 + (2*t^4.78)/g1^14 + 2*g1^17*t^4.9 + t^4.95/g1^22 + 6*g1^9*t^5.07 + 5*g1*t^5.23 + (3*t^5.39)/g1^7 + g1^24*t^5.51 + t^5.56/g1^15 + 2*g1^16*t^5.67 + t^5.72/g1^23 + 3*g1^8*t^5.84 - t^6. + 2*g1^23*t^6.28 + 7*g1^15*t^6.44 + t^6.49/g1^24 + 9*g1^7*t^6.61 + (8*t^6.77)/g1 + g1^30*t^6.89 + (7*t^6.93)/g1^9 + 5*g1^22*t^7.05 + (4*t^7.1)/g1^17 + 11*g1^14*t^7.22 + (2*t^7.26)/g1^25 + 11*g1^6*t^7.38 + t^7.42/g1^33 + (9*t^7.54)/g1^2 + 2*g1^29*t^7.66 + (4*t^7.7)/g1^10 + 6*g1^21*t^7.82 + (4*t^7.87)/g1^18 + 7*g1^13*t^7.99 + t^8.03/g1^26 - g1^5*t^8.15 + t^8.19/g1^34 + 2*g1^36*t^8.27 - (5*t^8.31)/g1^3 + 6*g1^28*t^8.43 - (5*t^8.47)/g1^11 + 12*g1^20*t^8.59 + t^8.64/g1^19 + 12*g1^12*t^8.76 + t^8.8/g1^27 + 5*g1^4*t^8.92 + t^8.96/g1^35 - t^4.54/(g1^2*y) - (g1^3*t^6.69)/y - t^6.85/(g1^5*y) - t^7.01/(g1^13*y) + (g1^10*t^7.3)/y + (3*g1^2*t^7.46)/y + (4*t^7.62)/(g1^6*y) + (2*t^7.78)/(g1^14*y) + (2*g1^17*t^7.9)/y + (7*g1^9*t^8.07)/y + (6*g1*t^8.23)/y + (5*t^8.39)/(g1^7*y) + (2*t^8.56)/(g1^15*y) + (2*g1^16*t^8.67)/y + t^8.72/(g1^23*y) + (2*g1^8*t^8.84)/y - (t^4.54*y)/g1^2 - g1^3*t^6.69*y - (t^6.85*y)/g1^5 - (t^7.01*y)/g1^13 + g1^10*t^7.3*y + 3*g1^2*t^7.46*y + (4*t^7.62*y)/g1^6 + (2*t^7.78*y)/g1^14 + 2*g1^17*t^7.9*y + 7*g1^9*t^8.07*y + 6*g1*t^8.23*y + (5*t^8.39*y)/g1^7 + (2*t^8.56*y)/g1^15 + 2*g1^16*t^8.67*y + (t^8.72*y)/g1^23 + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 4964 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ | 0.6686 | 0.8897 | 0.7515 | [X:[], M:[0.9747, 1.0759, 0.9747, 0.9241, 0.7184, 0.769, 0.8196, 0.769], q:[0.7437, 0.2816], qb:[0.4873, 0.4367], phi:[0.5127]] | 2*t^2.16 + 3*t^2.31 + t^2.46 + t^2.77 + 2*t^2.92 + t^3.23 + t^4.16 + 4*t^4.31 + 7*t^4.46 + 8*t^4.61 + 3*t^4.77 + t^4.92 + 2*t^4.93 + 7*t^5.08 + 7*t^5.23 + 3*t^5.38 + 2*t^5.53 + t^5.54 + t^5.69 + 2*t^5.7 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2023 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6365 | 0.8356 | 0.7616 | [X:[], M:[0.9626, 1.1121, 0.9626, 0.8879, 0.7033, 0.778], q:[0.7407, 0.2967], qb:[0.4813, 0.4065], phi:[0.5187]] | 2*t^2.11 + 2*t^2.33 + t^2.66 + 2*t^2.89 + t^3.34 + t^3.44 + t^3.67 + t^4. + 4*t^4.22 + 5*t^4.44 + 3*t^4.67 + 2*t^4.77 + 6*t^5. + 4*t^5.22 + t^5.33 + t^5.45 + 4*t^5.55 + t^5.67 + 5*t^5.78 - t^6. - t^4.56/y - t^4.56*y | detail |