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 |
|---|---|---|---|---|---|---|---|---|---|
| 3534 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.6749 | 0.8505 | 0.7935 | [X:[], M:[0.8132, 1.0623, 1.1868, 0.6886, 0.8132, 1.0329, 0.9377], q:[0.4213, 0.7656], qb:[0.3919, 0.5458], phi:[0.4689]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [-30], [-4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_7$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_1M_7$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | $M_4\phi_1q_1^2$ | -2 | t^2.07 + 2*t^2.44 + 2*t^2.81 + t^3.1 + t^3.47 + t^3.76 + t^3.85 + t^3.93 + t^4.13 + t^4.22 + t^4.31 + 2*t^4.51 + t^4.68 + 5*t^4.88 + t^5.16 + 4*t^5.25 + 2*t^5.54 + 2*t^5.63 + t^5.82 + 4*t^5.91 - 2*t^6. - t^6.09 + 4*t^6.2 + 4*t^6.29 - t^6.46 + 5*t^6.57 + 2*t^6.66 + 3*t^6.75 + t^6.86 + 5*t^6.94 + t^7.12 + 2*t^7.23 + 8*t^7.32 - 2*t^7.41 + t^7.52 + 3*t^7.6 + 9*t^7.69 - 2*t^7.87 + t^7.89 + 6*t^7.98 + 2*t^8.07 - t^8.15 + 4*t^8.26 + 7*t^8.35 - 3*t^8.44 - 3*t^8.53 + t^8.62 + 9*t^8.64 + 8*t^8.73 - 6*t^8.81 - 3*t^8.9 + t^8.92 + t^8.99 - t^4.41/y - t^6.47/y - t^6.85/y - t^7.22/y + t^7.31/y + t^7.51/y + t^7.59/y + (3*t^7.88)/y + t^7.97/y + t^8.16/y + (4*t^8.25)/y + t^8.34/y + (2*t^8.54)/y + t^8.63/y + t^8.82/y + (4*t^8.91)/y - t^4.41*y - t^6.47*y - t^6.85*y - t^7.22*y + t^7.31*y + t^7.51*y + t^7.59*y + 3*t^7.88*y + t^7.97*y + t^8.16*y + 4*t^8.25*y + t^8.34*y + 2*t^8.54*y + t^8.63*y + t^8.82*y + 4*t^8.91*y | t^2.07/g1^20 + (2*t^2.44)/g1^12 + (2*t^2.81)/g1^4 + t^3.1/g1^30 + t^3.47/g1^22 + t^3.76/g1^48 + t^3.85/g1^14 + g1^20*t^3.93 + t^4.13/g1^40 + t^4.22/g1^6 + g1^28*t^4.31 + (2*t^4.51)/g1^32 + g1^36*t^4.68 + (5*t^4.88)/g1^24 + t^5.16/g1^50 + (4*t^5.25)/g1^16 + (2*t^5.54)/g1^42 + (2*t^5.63)/g1^8 + t^5.82/g1^68 + (4*t^5.91)/g1^34 - 2*t^6. - g1^34*t^6.09 + (4*t^6.2)/g1^60 + (4*t^6.29)/g1^26 - g1^42*t^6.46 + (5*t^6.57)/g1^52 + (2*t^6.66)/g1^18 + 3*g1^16*t^6.75 + t^6.86/g1^78 + (5*t^6.94)/g1^44 + g1^24*t^7.12 + (2*t^7.23)/g1^70 + (8*t^7.32)/g1^36 - (2*t^7.41)/g1^2 + t^7.52/g1^96 + (3*t^7.6)/g1^62 + (9*t^7.69)/g1^28 - 2*g1^40*t^7.87 + t^7.89/g1^88 + (6*t^7.98)/g1^54 + (2*t^8.07)/g1^20 - g1^14*t^8.15 + (4*t^8.26)/g1^80 + (7*t^8.35)/g1^46 - (3*t^8.44)/g1^12 - 3*g1^22*t^8.53 + g1^56*t^8.62 + (9*t^8.64)/g1^72 + (8*t^8.73)/g1^38 - (6*t^8.81)/g1^4 - 3*g1^30*t^8.9 + t^8.92/g1^98 + g1^64*t^8.99 - t^4.41/(g1^2*y) - t^6.47/(g1^22*y) - t^6.85/(g1^14*y) - t^7.22/(g1^6*y) + (g1^28*t^7.31)/y + t^7.51/(g1^32*y) + (g1^2*t^7.59)/y + (3*t^7.88)/(g1^24*y) + (g1^10*t^7.97)/y + t^8.16/(g1^50*y) + (4*t^8.25)/(g1^16*y) + (g1^18*t^8.34)/y + (2*t^8.54)/(g1^42*y) + t^8.63/(g1^8*y) + t^8.82/(g1^68*y) + (4*t^8.91)/(g1^34*y) - (t^4.41*y)/g1^2 - (t^6.47*y)/g1^22 - (t^6.85*y)/g1^14 - (t^7.22*y)/g1^6 + g1^28*t^7.31*y + (t^7.51*y)/g1^32 + g1^2*t^7.59*y + (3*t^7.88*y)/g1^24 + g1^10*t^7.97*y + (t^8.16*y)/g1^50 + (4*t^8.25*y)/g1^16 + g1^18*t^8.34*y + (2*t^8.54*y)/g1^42 + (t^8.63*y)/g1^8 + (t^8.82*y)/g1^68 + (4*t^8.91*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5203 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6951 | 0.8879 | 0.7828 | [X:[], M:[0.8152, 1.0616, 1.1848, 0.692, 0.8152, 1.038, 0.9384, 0.7156], q:[0.4194, 0.7654], qb:[0.3958, 0.5426], phi:[0.4692]] | t^2.08 + t^2.15 + 2*t^2.45 + 2*t^2.82 + t^3.11 + t^3.48 + t^3.78 + t^3.92 + t^4.15 + 2*t^4.22 + 2*t^4.29 + 2*t^4.52 + 2*t^4.59 + t^4.66 + 5*t^4.89 + 2*t^4.96 + t^5.19 + 5*t^5.26 + 2*t^5.56 + 3*t^5.63 + t^5.86 + 4*t^5.93 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 5204 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1^2$ | 0.6957 | 0.8912 | 0.7806 | [X:[], M:[0.8119, 1.0627, 1.1881, 0.6865, 0.8119, 1.0298, 0.9373, 0.6865], q:[0.4224, 0.7657], qb:[0.3895, 0.5478], phi:[0.4687]] | 2*t^2.06 + 2*t^2.44 + 2*t^2.81 + t^3.09 + t^3.47 + t^3.74 + t^3.84 + 3*t^4.12 + t^4.22 + t^4.32 + 4*t^4.5 + t^4.69 + 7*t^4.87 + 2*t^5.15 + 4*t^5.25 + 3*t^5.53 + 2*t^5.62 + 2*t^5.8 + 5*t^5.9 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
| 5202 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6947 | 0.8859 | 0.7841 | [X:[], M:[0.8206, 1.0598, 1.1794, 0.7009, 0.8206, 1.0514, 0.9402, 0.7178], q:[0.4145, 0.765], qb:[0.4061, 0.5341], phi:[0.4701]] | t^2.1 + t^2.15 + 2*t^2.46 + 2*t^2.82 + t^3.15 + t^3.51 + t^3.87 + t^3.9 + t^4.21 + t^4.23 + 2*t^4.26 + t^4.31 + 2*t^4.56 + 3*t^4.62 + 5*t^4.92 + 2*t^4.97 + t^5.26 + 4*t^5.28 + t^5.31 + 2*t^5.62 + 2*t^5.64 + t^5.67 + 4*t^5.97 - 2*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2952 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6692 | 0.8404 | 0.7963 | [X:[], M:[0.8152, 1.0616, 1.1848, 0.6921, 0.8152, 1.0381], q:[0.4194, 0.7654], qb:[0.3959, 0.5425], phi:[0.4692]] | t^2.08 + 2*t^2.45 + t^2.82 + t^3.11 + t^3.18 + t^3.48 + t^3.78 + t^3.85 + t^3.92 + t^4.15 + t^4.22 + t^4.29 + 2*t^4.52 + t^4.66 + 4*t^4.89 + t^5.19 + 3*t^5.26 + 2*t^5.56 + 2*t^5.63 + t^5.86 + 3*t^5.93 - t^6. - t^4.41/y - t^4.41*y | detail |