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 |
|---|---|---|---|---|---|---|---|---|---|
| 2909 | 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_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6351 | 0.8325 | 0.7629 | [X:[], M:[0.9472, 1.1585, 0.9472, 0.8415, 0.7377, 0.8415], q:[0.7368, 0.316], qb:[0.4198, 0.4217], phi:[0.5264]] | [X:[], M:[[-4], [12], [-4], [-12], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_6$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$ | $M_4\phi_1q_2^2$ | -1 | 3*t^2.21 + 2*t^2.52 + 2*t^2.84 + t^3.47 + t^3.48 + t^3.79 + 2*t^4.1 + t^4.11 + 3*t^4.42 + 3*t^4.43 + 2*t^4.73 + 4*t^4.74 + 9*t^5.05 + 4*t^5.37 + 5*t^5.68 + t^5.69 + t^5.99 - t^6. + t^6.01 + 4*t^6.31 + 5*t^6.32 + 3*t^6.62 + 7*t^6.63 + 4*t^6.64 + 4*t^6.94 + 10*t^6.95 + 11*t^7.26 + 5*t^7.27 + 8*t^7.57 + 5*t^7.58 + 9*t^7.89 + 6*t^7.9 + 3*t^8.2 + 2*t^8.22 + t^8.51 + 5*t^8.52 + t^8.53 + 3*t^8.54 + 3*t^8.83 + t^8.84 + 11*t^8.85 - t^4.58/y - t^6.79/y - t^7.1/y + t^7.42/y + t^7.43/y + (2*t^7.73)/y + (5*t^7.74)/y + (8*t^8.05)/y + (5*t^8.37)/y + (5*t^8.68)/y + (2*t^8.69)/y + (2*t^8.99)/y - t^4.58*y - t^6.79*y - t^7.1*y + t^7.42*y + t^7.43*y + 2*t^7.73*y + 5*t^7.74*y + 8*t^8.05*y + 5*t^8.37*y + 5*t^8.68*y + 2*t^8.69*y + 2*t^8.99*y | t^2.21/g1^20 + 2*g1^18*t^2.21 + (2*t^2.52)/g1^12 + (2*t^2.84)/g1^4 + t^3.47/g1^26 + g1^12*t^3.48 + g1^20*t^3.79 + t^4.1/g1^48 + t^4.1/g1^10 + g1^28*t^4.11 + t^4.42/g1^40 + (2*t^4.42)/g1^2 + 3*g1^36*t^4.43 + (2*t^4.73)/g1^32 + 4*g1^6*t^4.74 + (5*t^5.05)/g1^24 + 4*g1^14*t^5.05 + (4*t^5.37)/g1^16 + t^5.68/g1^46 + (4*t^5.68)/g1^8 + g1^30*t^5.69 + t^5.99/g1^38 - t^6. + g1^38*t^6.01 + t^6.31/g1^68 + (3*t^6.31)/g1^30 + 3*g1^8*t^6.32 + 2*g1^46*t^6.32 + (3*t^6.62)/g1^60 + (2*t^6.63)/g1^22 + 5*g1^16*t^6.63 + 4*g1^54*t^6.64 + (4*t^6.94)/g1^52 + (4*t^6.95)/g1^14 + 6*g1^24*t^6.95 + (4*t^7.26)/g1^44 + (7*t^7.26)/g1^6 + 5*g1^32*t^7.27 + t^7.57/g1^74 + (7*t^7.57)/g1^36 + 5*g1^2*t^7.58 + t^7.89/g1^66 + (8*t^7.89)/g1^28 + 4*g1^10*t^7.9 + 2*g1^48*t^7.9 + t^8.2/g1^96 + (2*t^8.2)/g1^58 + (4*t^8.21)/g1^20 - 4*g1^18*t^8.21 + 2*g1^56*t^8.22 + t^8.51/g1^88 + (4*t^8.52)/g1^50 + t^8.52/g1^12 + g1^26*t^8.53 + 3*g1^64*t^8.54 + (3*t^8.83)/g1^80 + (4*t^8.84)/g1^42 - (3*t^8.84)/g1^4 + 6*g1^34*t^8.85 + 5*g1^72*t^8.85 - (g1^2*t^4.58)/y - (g1^20*t^6.79)/y - t^7.1/(g1^10*y) + t^7.42/(g1^2*y) + (g1^36*t^7.43)/y + (2*t^7.73)/(g1^32*y) + (5*g1^6*t^7.74)/y + (3*t^8.05)/(g1^24*y) + (5*g1^14*t^8.05)/y + (5*t^8.37)/(g1^16*y) + t^8.68/(g1^46*y) + (4*t^8.68)/(g1^8*y) + (2*g1^30*t^8.69)/y + (2*t^8.99)/(g1^38*y) - g1^2*t^4.58*y - g1^20*t^6.79*y - (t^7.1*y)/g1^10 + (t^7.42*y)/g1^2 + g1^36*t^7.43*y + (2*t^7.73*y)/g1^32 + 5*g1^6*t^7.74*y + (3*t^8.05*y)/g1^24 + 5*g1^14*t^8.05*y + (5*t^8.37*y)/g1^16 + (t^8.68*y)/g1^46 + (4*t^8.68*y)/g1^8 + 2*g1^30*t^8.69*y + (2*t^8.99*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3497 | $M_1q_1q_2$ + $ 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_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6496 | 0.8576 | 0.7574 | [X:[], M:[0.951, 1.147, 0.951, 0.853, 0.7205, 0.853, 0.8184], q:[0.7378, 0.3112], qb:[0.4438, 0.4092], phi:[0.5245]] | 2*t^2.16 + t^2.27 + t^2.46 + 2*t^2.56 + 2*t^2.85 + t^3.44 + t^3.73 + t^4.03 + t^4.13 + t^4.24 + 3*t^4.32 + 2*t^4.43 + t^4.53 + 2*t^4.62 + 5*t^4.72 + 2*t^4.82 + t^4.91 + 6*t^5.01 + 5*t^5.12 + 2*t^5.31 + 4*t^5.41 + t^5.6 + 2*t^5.71 + 2*t^5.9 - t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1887 | 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_6q_1\tilde{q}_2$ | 0.636 | 0.8314 | 0.765 | [X:[], M:[0.9582, 1.1254, 0.9582, 0.8746, 0.7463, 0.8164], q:[0.7395, 0.3023], qb:[0.4305, 0.4441], phi:[0.5209]] | t^2.2 + 2*t^2.24 + t^2.45 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.51 + t^3.8 + t^4.15 + t^4.19 + t^4.23 + t^4.4 + 2*t^4.44 + 3*t^4.48 + t^4.65 + 2*t^4.69 + t^4.82 + 2*t^4.86 + t^4.9 + 3*t^5.07 + 4*t^5.11 + t^5.25 + 2*t^5.32 + 2*t^5.5 + t^5.62 + t^5.71 + 4*t^5.75 + t^5.83 - 2*t^6. - t^4.56/y - t^4.56*y | detail |