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 |
|---|---|---|---|---|---|---|---|---|---|
| 49 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.8347, 0.81], qb:[0.4712, 0.463], phi:[0.3553]] | [X:[], M:[[1, -4, -1]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^6.05 + t^6.25 + t^6.3 + t^6.35 + t^6.39 + t^6.62 + 2*t^6.65 + t^6.67 + 2*t^6.7 + t^6.97 + t^7.02 - 2*t^7.04 - 2*t^7.09 - t^7.12 + t^7.64 + 2*t^7.66 + 4*t^7.69 + 2*t^7.71 + 4*t^7.74 + 2*t^7.79 + t^7.98 + 2*t^8.01 + t^8.03 + 2*t^8.06 - 2*t^8.08 - 2*t^8.13 - t^8.18 + t^8.33 + t^8.38 + t^8.41 + t^8.43 + t^8.48 + t^8.53 + t^8.7 + 2*t^8.73 + t^8.75 + 2*t^8.78 - 3*t^8.8 - 2*t^8.85 - t^4.07/y - t^6.15/y - t^6.2/y + t^7.21/y + t^7.88/y + (2*t^7.93)/y + t^7.98/y - t^8.23/y - t^8.28/y - t^8.33/y + t^8.9/y + (2*t^8.93)/y + (2*t^8.95)/y + (4*t^8.98)/y - t^4.07*y - t^6.15*y - t^6.2*y + t^7.21*y + t^7.88*y + 2*t^7.93*y + t^7.98*y - t^8.23*y - t^8.28*y - t^8.33*y + t^8.9*y + 2*t^8.93*y + 2*t^8.95*y + 4*t^8.98*y | (g1*t^2.08)/(g2^4*g3) + t^2.13/(g2^2*g3^2) + g2^3*g3^3*t^2.8 + g1*g3^3*t^3.82 + g1*g2^3*t^3.84 + (g3^5*t^3.84)/g2 + g2^2*g3^2*t^3.87 + (g2^5*t^3.89)/g3 + (g2*g3^4*t^3.89)/g1 + (g1^2*t^4.16)/(g2^8*g3^2) + (g1*t^4.21)/(g2^6*g3^3) + t^4.26/(g2^4*g3^4) + (g1*g3^2*t^4.88)/g2 + 2*g2*g3*t^4.93 + g2^6*g3^6*t^5.61 + (g1^2*g3^2*t^5.9)/g2^4 + (g1^2*t^5.93)/(g2*g3) + (g1*g3^4*t^5.93)/g2^5 + (g1*g3*t^5.95)/g2^2 + (g1*g2*t^5.98)/g3^2 + (g3^3*t^5.98)/g2^3 - 2*t^6. - (g2^2*t^6.05)/(g1*g3) + (g1^3*t^6.25)/(g2^12*g3^3) + (g1^2*t^6.3)/(g2^10*g3^4) + (g1*t^6.35)/(g2^8*g3^5) + t^6.39/(g2^6*g3^6) + g1*g2^3*g3^6*t^6.62 + g1*g2^6*g3^3*t^6.65 + g2^2*g3^8*t^6.65 + g2^5*g3^5*t^6.67 + g2^8*g3^2*t^6.7 + (g2^4*g3^7*t^6.7)/g1 + (g1^2*g3*t^6.97)/g2^5 + (g1*t^7.02)/g2^3 - (g1*t^7.04)/g3^3 - (g3^2*t^7.04)/g2^4 - (g2^2*t^7.09)/g3^4 - (g3*t^7.09)/(g1*g2^2) - (g2*t^7.12)/(g1*g3^2) + g1^2*g3^6*t^7.64 + g1^2*g2^3*g3^3*t^7.66 + (g1*g3^8*t^7.66)/g2 + g1^2*g2^6*t^7.69 + 2*g1*g2^2*g3^5*t^7.69 + (g3^10*t^7.69)/g2^2 + g1*g2^5*g3^2*t^7.71 + g2*g3^7*t^7.71 + (g1*g2^8*t^7.74)/g3 + 2*g2^4*g3^4*t^7.74 + (g3^9*t^7.74)/g1 + (g2^10*t^7.79)/g3^2 + (g2^2*g3^8*t^7.79)/g1^2 + (g1^3*g3*t^7.98)/g2^8 + (g1^3*t^8.01)/(g2^5*g3^2) + (g1^2*g3^3*t^8.01)/g2^9 + (g1^2*t^8.03)/g2^6 + (g1^2*t^8.06)/(g2^3*g3^3) + (g1*g3^2*t^8.06)/g2^7 - (2*g1*t^8.08)/(g2^4*g3) - (2*t^8.13)/(g2^2*g3^2) - t^8.18/(g1*g3^3) + (g1^4*t^8.33)/(g2^16*g3^4) + (g1^3*t^8.38)/(g2^14*g3^5) + g2^9*g3^9*t^8.41 + (g1^2*t^8.43)/(g2^12*g3^6) + (g1*t^8.48)/(g2^10*g3^7) + t^8.53/(g2^8*g3^8) + (g1^2*g3^5*t^8.7)/g2 + g1^2*g2^2*g3^2*t^8.73 + (g1*g3^7*t^8.73)/g2^2 + g1*g2*g3^4*t^8.75 + g1*g2^4*g3*t^8.78 + g3^6*t^8.78 - 3*g2^3*g3^3*t^8.8 - (2*g2^5*g3^2*t^8.85)/g1 - t^4.07/(g2*g3*y) - (g1*t^6.15)/(g2^5*g3^2*y) - t^6.2/(g2^3*g3^3*y) + (g1*t^7.21)/(g2^6*g3^3*y) + (g1*g3^2*t^7.88)/(g2*y) + (2*g2*g3*t^7.93)/y + (g2^3*t^7.98)/(g1*y) - (g1^2*t^8.23)/(g2^9*g3^3*y) - (g1*t^8.28)/(g2^7*g3^4*y) - t^8.33/(g2^5*g3^5*y) + (g1^2*g3^2*t^8.9)/(g2^4*y) + (g1^2*t^8.93)/(g2*g3*y) + (g1*g3^4*t^8.93)/(g2^5*y) + (2*g1*g3*t^8.95)/(g2^2*y) + (2*g1*g2*t^8.98)/(g3^2*y) + (2*g3^3*t^8.98)/(g2^3*y) - (t^4.07*y)/(g2*g3) - (g1*t^6.15*y)/(g2^5*g3^2) - (t^6.2*y)/(g2^3*g3^3) + (g1*t^7.21*y)/(g2^6*g3^3) + (g1*g3^2*t^7.88*y)/g2 + 2*g2*g3*t^7.93*y + (g2^3*t^7.98*y)/g1 - (g1^2*t^8.23*y)/(g2^9*g3^3) - (g1*t^8.28*y)/(g2^7*g3^4) - (t^8.33*y)/(g2^5*g3^5) + (g1^2*g3^2*t^8.9*y)/g2^4 + (g1^2*t^8.93*y)/(g2*g3) + (g1*g3^4*t^8.93*y)/g2^5 + (2*g1*g3*t^8.95*y)/g2^2 + (2*g1*g2*t^8.98*y)/g3^2 + (2*g3^3*t^8.98*y)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 73 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.5776 | 0.6992 | 0.8261 | [X:[], M:[1.0], q:[0.6391, 0.9718], qb:[0.3609, 0.4718], phi:[0.3891]] | t^2.33 + t^2.5 + t^3. + 2*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^4.83 + t^5. + t^5.5 + 2*t^5.83 - t^6. - t^4.17/y - t^4.17*y | detail | |
| 77 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6485 | 0.7964 | 0.8143 | [X:[], M:[0.6901, 0.7044], q:[0.8346, 0.8132], qb:[0.4753, 0.4681], phi:[0.3522]] | t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. - t^4.06/y - t^4.06*y | detail | |
| 76 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], phi:[0.3524]] | 2*t^2.09 + t^2.11 + t^2.83 + t^3.83 + 2*t^3.86 + t^3.89 + t^3.94 + 3*t^4.18 + 2*t^4.2 + t^4.23 + 2*t^4.92 + 2*t^4.94 + t^5.66 + 2*t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.06/y - t^4.06*y | detail | |
| 74 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.6079 | 0.7214 | 0.8426 | [X:[], M:[0.6995, 1.2812], q:[0.8348, 0.8058], qb:[0.4657, 0.456], phi:[0.3594]] | t^2.1 + t^2.77 + t^3.79 + 2*t^3.81 + 2*t^3.84 + 2*t^3.87 + t^4.2 + t^4.86 + t^4.92 + t^5.53 + t^5.88 + 2*t^5.91 + t^5.94 - 3*t^6. - t^4.08/y - t^4.08*y | detail | |
| 75 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1^3\tilde{q}_2^2$ | 0.6281 | 0.758 | 0.8286 | [X:[], M:[0.6967], q:[0.8359, 0.809], qb:[0.4674, 0.4674], phi:[0.3551]] | t^2.09 + t^2.13 + t^2.8 + 2*t^3.83 + 3*t^3.87 + t^3.91 + t^4.18 + t^4.22 + t^4.26 + t^4.89 + 2*t^4.93 + t^5.61 + 2*t^5.92 + 3*t^5.96 - t^6. - t^4.07/y - t^4.07*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55723 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ q_3\tilde{q}_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.81, 0.8347, 1.1653], qb:[0.8347, 0.4712, 0.463], phi:[0.3553]] | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.07/y - t^4.07*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 39 | SU2adj1nf2 | $\phi_1q_1q_2$ | 0.6076 | 0.7195 | 0.8446 | [X:[], M:[], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y | detail |