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 |
|---|---|---|---|---|---|---|---|---|---|
| 863 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -2 | 2*t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.76 + t^3.95 + t^4.58 + 4*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.98 + t^5.27 + t^5.71 + 4*t^5.8 + 2*t^5.9 - 2*t^6. + 2*t^6.1 + t^6.2 + 2*t^6.39 + t^6.59 + t^6.73 + t^6.83 + t^6.92 + 6*t^7.02 + t^7.12 + t^7.22 + 5*t^7.32 + t^7.51 + 2*t^7.61 + t^7.71 + 2*t^7.91 + t^7.95 + 2*t^8.05 + 5*t^8.14 + 3*t^8.24 - 5*t^8.34 + 2*t^8.44 - 2*t^8.64 + 2*t^8.73 + 2*t^8.83 - t^4.22/y - (2*t^6.56)/y - t^6.86/y + t^7.58/y + t^7.68/y + (2*t^7.78)/y + (2*t^7.88)/y + (2*t^7.98)/y + t^8.08/y + (2*t^8.71)/y + (3*t^8.8)/y - t^4.22*y - 2*t^6.56*y - t^6.86*y + t^7.58*y + t^7.68*y + 2*t^7.78*y + 2*t^7.88*y + 2*t^7.98*y + t^8.08*y + 2*t^8.71*y + 3*t^8.8*y | 2*g1^6*t^2.34 + t^2.44/g1^4 + t^2.64/g1^24 + g1^24*t^3.36 + g1^14*t^3.46 + g1^4*t^3.56 + t^3.76/g1^16 + t^3.95/g1^36 + g1^22*t^4.58 + 4*g1^12*t^4.68 + g1^2*t^4.78 + (2*t^4.88)/g1^8 + (2*t^4.98)/g1^18 + t^5.27/g1^48 + g1^30*t^5.71 + 4*g1^20*t^5.8 + 2*g1^10*t^5.9 - 2*t^6. + (2*t^6.1)/g1^10 + t^6.2/g1^20 + (2*t^6.39)/g1^40 + t^6.59/g1^60 + g1^48*t^6.73 + g1^38*t^6.83 + g1^28*t^6.92 + 6*g1^18*t^7.02 + g1^8*t^7.12 + t^7.22/g1^2 + (5*t^7.32)/g1^12 + t^7.51/g1^32 + (2*t^7.61)/g1^42 + t^7.71/g1^52 + (2*t^7.91)/g1^72 + g1^46*t^7.95 + 2*g1^36*t^8.05 + 5*g1^26*t^8.14 + 3*g1^16*t^8.24 - 5*g1^6*t^8.34 + (2*t^8.44)/g1^4 - (2*t^8.64)/g1^24 + (2*t^8.73)/g1^34 + (2*t^8.83)/g1^44 - t^4.22/(g1^2*y) - (2*g1^4*t^6.56)/y - t^6.86/(g1^26*y) + (g1^22*t^7.58)/y + (g1^12*t^7.68)/y + (2*g1^2*t^7.78)/y + (2*t^7.88)/(g1^8*y) + (2*t^7.98)/(g1^18*y) + t^8.08/(g1^28*y) + (2*g1^30*t^8.71)/y + (3*g1^20*t^8.8)/y - (t^4.22*y)/g1^2 - 2*g1^4*t^6.56*y - (t^6.86*y)/g1^26 + g1^22*t^7.58*y + g1^12*t^7.68*y + 2*g1^2*t^7.78*y + (2*t^7.88*y)/g1^8 + (2*t^7.98*y)/g1^18 + (t^8.08*y)/g1^28 + 2*g1^30*t^8.71*y + 3*g1^20*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 1356 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6571 | 0.8278 | 0.7938 | [X:[1.5587], M:[0.4413, 1.1862, 0.7794, 0.8826, 0.7794, 0.6761], q:[0.7966, 0.7622], qb:[0.4585, 0.3553], phi:[0.4069]] | t^2.03 + 2*t^2.34 + t^2.44 + t^2.65 + t^3.35 + t^3.46 + t^3.56 + t^3.77 + t^4.06 + 2*t^4.37 + t^4.47 + t^4.57 + 5*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.99 + t^5.3 + t^5.38 + t^5.48 + t^5.59 + t^5.69 + 5*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 2036 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6556 | 0.8224 | 0.7972 | [X:[1.5546], M:[0.4454, 1.1849, 0.7773, 0.8909, 0.7773, 0.7394], q:[0.7962, 0.7583], qb:[0.4644, 0.3508], phi:[0.4076]] | t^2.22 + 2*t^2.33 + t^2.45 + t^2.67 + t^3.33 + t^3.44 + t^3.55 + t^4.01 + t^4.44 + 3*t^4.55 + 5*t^4.66 + t^4.78 + 3*t^4.89 + 2*t^5. + t^5.35 + t^5.55 + 2*t^5.66 + 5*t^5.77 + 2*t^5.89 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 2034 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6502 | 0.8109 | 0.8018 | [X:[1.5709], M:[0.4291, 1.1903, 0.7855, 0.8582, 0.7855, 0.8339], q:[0.7976, 0.7733], qb:[0.4412, 0.3685], phi:[0.4048]] | 2*t^2.36 + t^2.43 + t^2.5 + t^2.57 + t^3.43 + t^3.57 + t^3.72 + t^3.86 + t^4.64 + 4*t^4.71 + t^4.79 + 4*t^4.86 + 3*t^4.93 + t^5. + t^5.08 + t^5.15 + t^5.78 + 2*t^5.85 + 2*t^5.93 - 2*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 549 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.35 + t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.56 + t^3.65 + t^3.74 + t^3.92 + t^4.6 + 2*t^4.69 + 2*t^4.87 + t^4.96 + t^5.23 + 3*t^5.82 + t^5.91 - t^6. - t^4.22/y - t^4.22*y | detail |