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 |
|---|---|---|---|---|---|---|---|---|---|
| 4450 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_2^2$ | 0.6575 | 0.8935 | 0.7359 | [X:[], M:[0.9211, 1.2368, 1.0789, 0.7632, 0.6973, 0.6973, 0.7632, 0.7632], q:[0.7303, 0.3487], qb:[0.3487, 0.4145], phi:[0.5395]] | [X:[], M:[[4], [-12], [-4], [12], [-10], [-10], [12], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ M_7$, $ M_8$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_4M_6$, $ M_5M_7$, $ M_6M_7$, $ M_5M_8$, $ M_6M_8$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_4M_8$, $ M_7M_8$, $ M_8^2$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_6$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3M_4$, $ M_3M_7$, $ M_3M_8$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_8\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_8q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$ | $M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$ | -3 | 3*t^2.09 + 4*t^2.29 + 3*t^3.24 + t^3.43 + t^3.71 + t^4.11 + 6*t^4.18 + 12*t^4.38 + 10*t^4.58 + 9*t^5.33 + 14*t^5.53 + 4*t^5.72 + t^5.8 - 3*t^6. + 10*t^6.28 + 4*t^6.4 + 25*t^6.47 + 30*t^6.67 + 20*t^6.87 - 5*t^7.14 + t^7.34 + 16*t^7.42 + t^7.54 + 31*t^7.62 + 33*t^7.82 + 10*t^8.01 - 17*t^8.09 + t^8.21 - 21*t^8.29 + 15*t^8.37 + 43*t^8.57 + 10*t^8.68 + 63*t^8.76 + 60*t^8.96 - t^4.62/y - (2*t^6.71)/y - (2*t^6.91)/y + (3*t^7.18)/y + (13*t^7.38)/y + (6*t^7.58)/y - t^7.86/y + (11*t^8.33)/y + (17*t^8.53)/y + (4*t^8.72)/y - t^4.62*y - 2*t^6.71*y - 2*t^6.91*y + 3*t^7.18*y + 13*t^7.38*y + 6*t^7.58*y - t^7.86*y + 11*t^8.33*y + 17*t^8.53*y + 4*t^8.72*y | (3*t^2.09)/g1^10 + 4*g1^12*t^2.29 + (3*t^3.24)/g1^4 + g1^18*t^3.43 + t^3.71/g1^12 + g1^32*t^4.11 + (6*t^4.18)/g1^20 + 12*g1^2*t^4.38 + 10*g1^24*t^4.58 + (9*t^5.33)/g1^14 + 14*g1^8*t^5.53 + 4*g1^30*t^5.72 + t^5.8/g1^22 - 3*t^6. + (10*t^6.28)/g1^30 + 4*g1^44*t^6.4 + (25*t^6.47)/g1^8 + 30*g1^14*t^6.67 + 20*g1^36*t^6.87 - 5*g1^6*t^7.14 + g1^28*t^7.34 + (16*t^7.42)/g1^24 + g1^50*t^7.54 + (31*t^7.62)/g1^2 + 33*g1^20*t^7.82 + 10*g1^42*t^8.01 - (17*t^8.09)/g1^10 + g1^64*t^8.21 - 21*g1^12*t^8.29 + (15*t^8.37)/g1^40 + (43*t^8.57)/g1^18 + 10*g1^56*t^8.68 + 63*g1^4*t^8.76 + 60*g1^26*t^8.96 - t^4.62/(g1^2*y) - (2*t^6.71)/(g1^12*y) - (2*g1^10*t^6.91)/y + (3*t^7.18)/(g1^20*y) + (13*g1^2*t^7.38)/y + (6*g1^24*t^7.58)/y - t^7.86/(g1^6*y) + (11*t^8.33)/(g1^14*y) + (17*g1^8*t^8.53)/y + (4*g1^30*t^8.72)/y - (t^4.62*y)/g1^2 - (2*t^6.71*y)/g1^12 - 2*g1^10*t^6.91*y + (3*t^7.18*y)/g1^20 + 13*g1^2*t^7.38*y + 6*g1^24*t^7.58*y - (t^7.86*y)/g1^6 + (11*t^8.33*y)/g1^14 + 17*g1^8*t^8.53*y + 4*g1^30*t^8.72*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 |
|---|---|---|---|---|---|---|---|---|
| 5957 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_2^2$ + $ M_9q_1\tilde{q}_2$ | 0.6712 | 0.9166 | 0.7323 | [X:[], M:[0.9266, 1.2201, 1.0734, 0.7799, 0.6834, 0.6834, 0.7799, 0.7799, 0.8301], q:[0.7317, 0.3417], qb:[0.3417, 0.4382], phi:[0.5367]] | 3*t^2.05 + 4*t^2.34 + t^2.49 + 3*t^3.22 + t^3.66 + 6*t^4.1 + t^4.24 + 12*t^4.39 + 3*t^4.54 + 10*t^4.68 + 4*t^4.83 + t^4.98 + 9*t^5.27 + 11*t^5.56 + 4*t^5.71 - 3*t^6. - t^4.61/y - t^4.61*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2409 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.6392 | 0.8604 | 0.743 | [X:[], M:[0.9237, 1.2289, 1.0763, 0.7711, 0.6907, 0.6907, 0.7711], q:[0.7309, 0.3454], qb:[0.3454, 0.4257], phi:[0.5381]] | 3*t^2.07 + 3*t^2.31 + 3*t^3.23 + t^3.47 + 2*t^3.69 + 6*t^4.14 + t^4.17 + 9*t^4.39 + 6*t^4.63 + 9*t^5.3 + 11*t^5.54 + 4*t^5.76 + 3*t^5.78 - t^6. - t^4.61/y - t^4.61*y | detail |