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 |
|---|---|---|---|---|---|---|---|---|---|
| 4306 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_4M_6$ + $ M_5M_7$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6131 | 0.7877 | 0.7783 | [X:[], M:[0.6734, 0.6734, 1.0653, 0.9347, 1.3266, 1.0653, 0.6734, 0.804], q:[0.995, 0.603], qb:[0.3317, 0.4623], phi:[0.402]] | [X:[], M:[[-20], [-20], [4], [-4], [20], [4], [-20], [-12]], q:[[15], [-9]], qb:[[5], [13]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_7$, $ \tilde{q}_1\tilde{q}_2$, $ M_8$, $ \phi_1^2$, $ M_3$, $ M_6$, $ q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ M_1M_8$, $ M_7M_8$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ M_8\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_1M_6$, $ M_3M_7$, $ M_6M_7$, $ M_1q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3M_8$, $ M_6M_8$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_8q_2\tilde{q}_2$ | . | -3 | 2*t^2.02 + t^2.38 + 2*t^2.41 + 3*t^3.2 + 3*t^4.04 + t^4.37 + 2*t^4.4 + 4*t^4.43 + t^4.76 + 3*t^4.79 + 3*t^4.82 + 5*t^5.22 + 3*t^5.58 + 4*t^5.61 - 3*t^6. + 4*t^6.06 + 5*t^6.39 + 2*t^6.42 + 6*t^6.45 + t^6.75 + t^6.78 + 4*t^6.81 + 6*t^6.84 + t^7.15 + 3*t^7.21 + 11*t^7.24 + t^7.57 + 2*t^7.6 + 6*t^7.63 + 2*t^7.96 + 4*t^7.99 - t^8.02 + 5*t^8.08 - 5*t^8.38 + t^8.41 + 2*t^8.44 + 8*t^8.47 + t^8.74 + 3*t^8.77 + 2*t^8.8 + 4*t^8.83 + 9*t^8.86 - t^4.21/y - (2*t^6.23)/y - (2*t^6.62)/y + t^7.01/y + t^7.04/y + t^7.4/y + (4*t^7.43)/y + (4*t^7.79)/y + t^7.82/y + (2*t^8.19)/y + (6*t^8.22)/y - (3*t^8.25)/y + (3*t^8.58)/y + (6*t^8.61)/y - (4*t^8.64)/y - t^4.21*y - 2*t^6.23*y - 2*t^6.62*y + t^7.01*y + t^7.04*y + t^7.4*y + 4*t^7.43*y + 4*t^7.79*y + t^7.82*y + 2*t^8.19*y + 6*t^8.22*y - 3*t^8.25*y + 3*t^8.58*y + 6*t^8.61*y - 4*t^8.64*y | (2*t^2.02)/g1^20 + g1^18*t^2.38 + (2*t^2.41)/g1^12 + 3*g1^4*t^3.2 + (3*t^4.04)/g1^40 + g1^28*t^4.37 + (2*t^4.4)/g1^2 + (4*t^4.43)/g1^32 + g1^36*t^4.76 + 3*g1^6*t^4.79 + (3*t^4.82)/g1^24 + (5*t^5.22)/g1^16 + 3*g1^22*t^5.58 + (4*t^5.61)/g1^8 - 3*t^6. + (4*t^6.06)/g1^60 + 5*g1^8*t^6.39 + (2*t^6.42)/g1^22 + (6*t^6.45)/g1^52 + g1^46*t^6.75 + g1^16*t^6.78 + (4*t^6.81)/g1^14 + (6*t^6.84)/g1^44 + g1^54*t^7.15 + (3*t^7.21)/g1^6 + (11*t^7.24)/g1^36 + g1^32*t^7.57 + 2*g1^2*t^7.6 + (6*t^7.63)/g1^28 + 2*g1^40*t^7.96 + 4*g1^10*t^7.99 - t^8.02/g1^20 + (5*t^8.08)/g1^80 - 5*g1^18*t^8.38 + t^8.41/g1^12 + (2*t^8.44)/g1^42 + (8*t^8.47)/g1^72 + g1^56*t^8.74 + 3*g1^26*t^8.77 + (2*t^8.8)/g1^4 + (4*t^8.83)/g1^34 + (9*t^8.86)/g1^64 - t^4.21/(g1^6*y) - (2*t^6.23)/(g1^26*y) - (2*t^6.62)/(g1^18*y) + t^7.01/(g1^10*y) + t^7.04/(g1^40*y) + t^7.4/(g1^2*y) + (4*t^7.43)/(g1^32*y) + (4*g1^6*t^7.79)/y + t^7.82/(g1^24*y) + (2*g1^14*t^8.19)/y + (6*t^8.22)/(g1^16*y) - (3*t^8.25)/(g1^46*y) + (3*g1^22*t^8.58)/y + (6*t^8.61)/(g1^8*y) - (4*t^8.64)/(g1^38*y) - (t^4.21*y)/g1^6 - (2*t^6.23*y)/g1^26 - (2*t^6.62*y)/g1^18 + (t^7.01*y)/g1^10 + (t^7.04*y)/g1^40 + (t^7.4*y)/g1^2 + (4*t^7.43*y)/g1^32 + 4*g1^6*t^7.79*y + (t^7.82*y)/g1^24 + 2*g1^14*t^8.19*y + (6*t^8.22*y)/g1^16 - (3*t^8.25*y)/g1^46 + 3*g1^22*t^8.58*y + (6*t^8.61*y)/g1^8 - (4*t^8.64*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 |
|---|---|---|---|---|---|---|---|---|
| 5764 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_4M_6$ + $ M_5M_7$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_9$ | 0.5922 | 0.7465 | 0.7934 | [X:[], M:[0.6751, 0.6751, 1.065, 0.935, 1.3249, 1.065, 0.6751, 0.8051, 1.3249], q:[0.9937, 0.6038], qb:[0.3312, 0.4612], phi:[0.4025]] | t^2.03 + t^2.38 + 2*t^2.42 + 3*t^3.19 + t^3.97 + t^4.05 + t^4.36 + t^4.4 + 2*t^4.44 + t^4.75 + 3*t^4.79 + 3*t^4.83 + 2*t^5.22 + 3*t^5.57 + 4*t^5.61 - 2*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2291 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_4M_6$ + $ M_5M_7$ | 0.5971 | 0.7592 | 0.7865 | [X:[], M:[0.6878, 0.6878, 1.0624, 0.9376, 1.3122, 1.0624, 0.6878], q:[0.9841, 0.6095], qb:[0.328, 0.4529], phi:[0.4063]] | 2*t^2.06 + t^2.34 + t^2.44 + 3*t^3.19 + t^3.56 + 3*t^4.13 + t^4.31 + 2*t^4.41 + 2*t^4.5 + t^4.69 + 2*t^4.78 + t^4.88 + 5*t^5.25 + 3*t^5.53 + 3*t^5.63 + t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |