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 |
|---|---|---|---|---|---|---|---|---|---|
| 2415 | 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_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6405 | 0.8589 | 0.7458 | [X:[], M:[0.9178, 1.2467, 0.9178, 0.7533, 0.7533, 0.7056, 0.9178], q:[0.7294, 0.3528], qb:[0.3528, 0.4006], phi:[0.5411]] | [X:[], M:[[4], [-12], [4], [12], [12], [-10], [4]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_6$, $ M_3M_6$, $ M_6M_7$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ M_4M_7$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_7$, $ M_3M_7$, $ M_7^2$, $ M_6q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 1 | 2*t^2.12 + 3*t^2.26 + 3*t^2.75 + t^3.39 + 2*t^3.74 + t^3.88 + t^4.03 + 3*t^4.23 + 6*t^4.38 + 6*t^4.52 + 6*t^4.87 + 9*t^5.01 + 7*t^5.51 + 3*t^5.65 + 2*t^5.86 + t^6. + 5*t^6.14 + 3*t^6.29 + 4*t^6.35 + 10*t^6.49 + 12*t^6.64 + 13*t^6.78 + 6*t^6.99 + 14*t^7.13 + 17*t^7.27 + t^7.42 + 7*t^7.62 + 18*t^7.77 + 7*t^7.91 + 2*t^7.97 + t^8.05 - 5*t^8.12 + 7*t^8.26 + 12*t^8.4 + 5*t^8.47 + 6*t^8.55 + 8*t^8.61 + 2*t^8.75 + 23*t^8.9 - t^4.62/y - t^6.74/y - t^6.88/y + t^7.23/y + (4*t^7.38)/y + (3*t^7.52)/y + (8*t^7.87)/y + (9*t^8.01)/y + t^8.36/y + (6*t^8.51)/y + (3*t^8.65)/y + (3*t^8.86)/y - t^4.62*y - t^6.74*y - t^6.88*y + t^7.23*y + 4*t^7.38*y + 3*t^7.52*y + 8*t^7.87*y + 9*t^8.01*y + t^8.36*y + 6*t^8.51*y + 3*t^8.65*y + 3*t^8.86*y | (2*t^2.12)/g1^10 + 3*g1^12*t^2.26 + 3*g1^4*t^2.75 + g1^18*t^3.39 + (2*t^3.74)/g1^12 + g1^10*t^3.88 + g1^32*t^4.03 + (3*t^4.23)/g1^20 + 6*g1^2*t^4.38 + 6*g1^24*t^4.52 + (6*t^4.87)/g1^6 + 9*g1^16*t^5.01 + 7*g1^8*t^5.51 + 3*g1^30*t^5.65 + (2*t^5.86)/g1^22 + t^6. + 5*g1^22*t^6.14 + 3*g1^44*t^6.29 + (4*t^6.35)/g1^30 + (10*t^6.49)/g1^8 + 12*g1^14*t^6.64 + 13*g1^36*t^6.78 + (6*t^6.99)/g1^16 + 14*g1^6*t^7.13 + 17*g1^28*t^7.27 + g1^50*t^7.42 + (7*t^7.62)/g1^2 + 18*g1^20*t^7.77 + 7*g1^42*t^7.91 + (2*t^7.97)/g1^32 + g1^64*t^8.05 - (5*t^8.12)/g1^10 + 7*g1^12*t^8.26 + 12*g1^34*t^8.4 + (5*t^8.47)/g1^40 + 6*g1^56*t^8.55 + (8*t^8.61)/g1^18 + 2*g1^4*t^8.75 + 23*g1^26*t^8.9 - t^4.62/(g1^2*y) - t^6.74/(g1^12*y) - (g1^10*t^6.88)/y + t^7.23/(g1^20*y) + (4*g1^2*t^7.38)/y + (3*g1^24*t^7.52)/y + (8*t^7.87)/(g1^6*y) + (9*g1^16*t^8.01)/y + t^8.36/(g1^14*y) + (6*g1^8*t^8.51)/y + (3*g1^30*t^8.65)/y + (3*t^8.86)/(g1^22*y) - (t^4.62*y)/g1^2 - (t^6.74*y)/g1^12 - g1^10*t^6.88*y + (t^7.23*y)/g1^20 + 4*g1^2*t^7.38*y + 3*g1^24*t^7.52*y + (8*t^7.87*y)/g1^6 + 9*g1^16*t^8.01*y + (t^8.36*y)/g1^14 + 6*g1^8*t^8.51*y + 3*g1^30*t^8.65*y + (3*t^8.86*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4454 | $M_1q_1q_2$ + $ 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_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1q_2^2$ | 0.6596 | 0.8946 | 0.7373 | [X:[], M:[0.9155, 1.2536, 0.9155, 0.7464, 0.7464, 0.7113, 0.9155, 0.7464], q:[0.7289, 0.3556], qb:[0.3556, 0.3908], phi:[0.5423]] | 2*t^2.13 + 4*t^2.24 + 3*t^2.75 + t^3.36 + t^3.76 + t^3.87 + t^3.97 + 3*t^4.27 + 8*t^4.37 + 10*t^4.48 + 6*t^4.88 + 12*t^4.99 + 7*t^5.49 + 4*t^5.6 - t^6. - t^4.63/y - t^4.63*y | detail | |
| 4455 | $M_1q_1q_2$ + $ 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_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6533 | 0.8791 | 0.7431 | [X:[], M:[0.9242, 1.2273, 0.9242, 0.7727, 0.7727, 0.6894, 0.9242, 0.8409], q:[0.7311, 0.3447], qb:[0.3447, 0.428], phi:[0.5379]] | 2*t^2.07 + 3*t^2.32 + t^2.52 + 3*t^2.77 + 2*t^3.68 + t^3.93 + 3*t^4.14 + t^4.18 + 6*t^4.39 + 2*t^4.59 + 6*t^4.64 + 9*t^4.84 + t^5.05 + 9*t^5.09 + 3*t^5.3 + 5*t^5.55 + 2*t^5.75 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1347 | 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_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6331 | 0.8457 | 0.7486 | [X:[], M:[0.9195, 1.2415, 0.9195, 0.7585, 0.7585, 0.7012], q:[0.7299, 0.3506], qb:[0.3506, 0.4079], phi:[0.5402]] | 2*t^2.1 + 3*t^2.28 + 2*t^2.76 + t^3.24 + t^3.41 + 2*t^3.72 + t^3.9 + t^4.07 + 3*t^4.21 + 6*t^4.38 + 6*t^4.55 + 4*t^4.86 + 6*t^5.03 + 2*t^5.35 + 7*t^5.52 + 3*t^5.69 + 2*t^5.83 + 3*t^6. - t^4.62/y - t^4.62*y | detail |