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 |
|---|---|---|---|---|---|---|---|---|---|
| 4409 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6032 | 0.7736 | 0.7797 | [X:[], M:[0.727, 1.1406, 0.9919, 0.7108, 1.0081, 1.2892, 0.7108, 0.8433], q:[0.9257, 0.3474], qb:[0.3635, 0.6446], phi:[0.4297]] | [X:[], M:[[22], [-4], [-14], [-6], [14], [6], [-6], [-24]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_8$, $ M_3$, $ M_5$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4M_8$, $ M_7M_8$, $ M_1M_8$, $ q_1\tilde{q}_2$, $ M_8^2$, $ M_3M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_8$, $ M_4\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_2M_4$, $ M_2M_7$, $ M_5M_8$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_8\phi_1q_2^2$, $ M_3^2$, $ M_2M_8$, $ M_8\phi_1q_2\tilde{q}_1$ | . | -2 | 2*t^2.13 + t^2.18 + t^2.53 + t^2.98 + t^3.02 + t^3.37 + 2*t^3.42 + 3*t^4.26 + 2*t^4.31 + t^4.36 + 2*t^4.66 + 2*t^4.71 + t^5.06 + 2*t^5.11 + 3*t^5.16 + t^5.21 + 3*t^5.51 + 5*t^5.55 + t^5.6 + t^5.9 + 2*t^5.95 - 2*t^6. + t^6.35 + 5*t^6.4 + 3*t^6.45 + 2*t^6.49 + t^6.54 + t^6.75 + 4*t^6.79 + 3*t^6.84 + 2*t^7.19 + 3*t^7.24 + 2*t^7.29 + 2*t^7.34 + t^7.39 + t^7.59 + 5*t^7.64 + 8*t^7.69 + 2*t^7.74 + t^7.78 + 3*t^8.04 + 5*t^8.08 - 3*t^8.13 - 3*t^8.18 + t^8.43 + 4*t^8.48 + 4*t^8.53 + 3*t^8.58 + 2*t^8.63 + 2*t^8.68 + t^8.72 + 3*t^8.88 + 7*t^8.93 + t^8.98 - t^4.29/y - t^6.42/y - t^6.47/y - t^6.82/y + t^7.26/y + (2*t^7.31)/y + (2*t^7.66)/y + t^7.71/y + t^7.76/y + (3*t^8.11)/y + (4*t^8.16)/y + t^8.21/y + (3*t^8.51)/y + (5*t^8.55)/y + t^8.6/y - t^8.65/y + t^8.9/y + t^8.95/y - t^4.29*y - t^6.42*y - t^6.47*y - t^6.82*y + t^7.26*y + 2*t^7.31*y + 2*t^7.66*y + t^7.71*y + t^7.76*y + 3*t^8.11*y + 4*t^8.16*y + t^8.21*y + 3*t^8.51*y + 5*t^8.55*y + t^8.6*y - t^8.65*y + t^8.9*y + t^8.95*y | (2*t^2.13)/g1^6 + g1^22*t^2.18 + t^2.53/g1^24 + t^2.98/g1^14 + g1^14*t^3.02 + t^3.37/g1^32 + (2*t^3.42)/g1^4 + (3*t^4.26)/g1^12 + 2*g1^16*t^4.31 + g1^44*t^4.36 + (2*t^4.66)/g1^30 + (2*t^4.71)/g1^2 + t^5.06/g1^48 + (2*t^5.11)/g1^20 + 3*g1^8*t^5.16 + g1^36*t^5.21 + (3*t^5.51)/g1^38 + (5*t^5.55)/g1^10 + g1^18*t^5.6 + t^5.9/g1^56 + (2*t^5.95)/g1^28 - 2*t^6. + t^6.35/g1^46 + (5*t^6.4)/g1^18 + 3*g1^10*t^6.45 + 2*g1^38*t^6.49 + g1^66*t^6.54 + t^6.75/g1^64 + (4*t^6.79)/g1^36 + (3*t^6.84)/g1^8 + (2*t^7.19)/g1^54 + (3*t^7.24)/g1^26 + 2*g1^2*t^7.29 + 2*g1^30*t^7.34 + g1^58*t^7.39 + t^7.59/g1^72 + (5*t^7.64)/g1^44 + (8*t^7.69)/g1^16 + 2*g1^12*t^7.74 + g1^40*t^7.78 + (3*t^8.04)/g1^62 + (5*t^8.08)/g1^34 - (3*t^8.13)/g1^6 - 3*g1^22*t^8.18 + t^8.43/g1^80 + (4*t^8.48)/g1^52 + (4*t^8.53)/g1^24 + 3*g1^4*t^8.58 + 2*g1^32*t^8.63 + 2*g1^60*t^8.68 + g1^88*t^8.72 + (3*t^8.88)/g1^70 + (7*t^8.93)/g1^42 + t^8.98/g1^14 - (g1^2*t^4.29)/y - t^6.42/(g1^4*y) - (g1^24*t^6.47)/y - t^6.82/(g1^22*y) + t^7.26/(g1^12*y) + (2*g1^16*t^7.31)/y + (2*t^7.66)/(g1^30*y) + t^7.71/(g1^2*y) + (g1^26*t^7.76)/y + (3*t^8.11)/(g1^20*y) + (4*g1^8*t^8.16)/y + (g1^36*t^8.21)/y + (3*t^8.51)/(g1^38*y) + (5*t^8.55)/(g1^10*y) + (g1^18*t^8.6)/y - (g1^46*t^8.65)/y + t^8.9/(g1^56*y) + t^8.95/(g1^28*y) - g1^2*t^4.29*y - (t^6.42*y)/g1^4 - g1^24*t^6.47*y - (t^6.82*y)/g1^22 + (t^7.26*y)/g1^12 + 2*g1^16*t^7.31*y + (2*t^7.66*y)/g1^30 + (t^7.71*y)/g1^2 + g1^26*t^7.76*y + (3*t^8.11*y)/g1^20 + 4*g1^8*t^8.16*y + g1^36*t^8.21*y + (3*t^8.51*y)/g1^38 + (5*t^8.55*y)/g1^10 + g1^18*t^8.6*y - g1^46*t^8.65*y + (t^8.9*y)/g1^56 + (t^8.95*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5914 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_2^2$ | 0.6164 | 0.7957 | 0.7747 | [X:[], M:[0.6905, 1.1472, 1.0151, 0.7208, 0.9849, 1.2792, 0.7208, 0.883, 0.8226], q:[0.934, 0.3755], qb:[0.3453, 0.6396], phi:[0.4264]] | t^2.07 + 2*t^2.16 + t^2.47 + t^2.65 + t^2.95 + t^3.05 + 2*t^3.44 + t^4.14 + 2*t^4.23 + 3*t^4.32 + t^4.54 + 2*t^4.63 + 2*t^4.72 + 2*t^4.81 + t^4.94 + t^5.03 + 4*t^5.12 + 2*t^5.21 + t^5.3 + t^5.42 + 2*t^5.51 + 4*t^5.6 + t^5.69 + 2*t^5.91 - 2*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2385 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5909 | 0.7517 | 0.786 | [X:[], M:[0.6939, 1.1466, 1.013, 0.7199, 0.987, 1.2801, 0.7199], q:[0.9332, 0.3729], qb:[0.3469, 0.6401], phi:[0.4267]] | t^2.08 + 2*t^2.16 + t^2.96 + t^3.04 + t^3.36 + 2*t^3.44 + t^3.52 + t^4.16 + 2*t^4.24 + 3*t^4.32 + t^4.72 + t^5.04 + 3*t^5.12 + 2*t^5.2 + t^5.44 + 3*t^5.52 + 4*t^5.6 + 2*t^5.68 - 2*t^6. - t^4.28/y - t^4.28*y | detail |