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 |
|---|---|---|---|---|---|---|---|---|---|
| 1060 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6986 | 0.8743 | 0.799 | [X:[], M:[0.9932, 1.1276, 0.9328, 0.6913, 0.8724, 0.7517], q:[0.7819, 0.406], qb:[0.6008, 0.4664], phi:[0.4362]] | [X:[], M:[[32], [-12], [22], [-18], [12], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_6$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_1M_3$, $ M_6q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$ | . | -2 | t^2.07 + t^2.26 + 2*t^2.62 + t^2.8 + t^2.98 + t^3.56 + t^3.74 + t^4.11 + 2*t^4.15 + 2*t^4.33 + 2*t^4.51 + 2*t^4.69 + 3*t^4.87 + t^4.91 + 2*t^5.05 + 4*t^5.23 + t^5.42 + 2*t^5.6 + t^5.64 + t^5.78 + t^5.82 + t^5.96 - 2*t^6. + t^6.18 + 2*t^6.22 + 3*t^6.36 + 2*t^6.4 + t^6.54 + 2*t^6.58 + 2*t^6.72 + 4*t^6.77 + 4*t^6.95 + t^6.99 + t^7.09 + 5*t^7.13 + t^7.17 + 5*t^7.31 + 4*t^7.49 + t^7.53 + 3*t^7.67 + t^7.71 + 7*t^7.85 + t^7.89 + 3*t^8.03 - 2*t^8.07 + 4*t^8.21 - 2*t^8.26 + 2*t^8.3 + 2*t^8.4 + 3*t^8.48 + 2*t^8.58 - 2*t^8.62 + 3*t^8.66 + t^8.76 - t^8.8 + 3*t^8.84 + t^8.94 - t^4.31/y - t^6.38/y - t^6.56/y - t^6.93/y - t^7.11/y - t^7.29/y + (2*t^7.33)/y + t^7.51/y + (3*t^7.69)/y + (3*t^7.87)/y + (3*t^8.05)/y + (3*t^8.23)/y + (2*t^8.42)/y - t^8.46/y + (2*t^8.6)/y + t^8.78/y + t^8.82/y - t^4.31*y - t^6.38*y - t^6.56*y - t^6.93*y - t^7.11*y - t^7.29*y + 2*t^7.33*y + t^7.51*y + 3*t^7.69*y + 3*t^7.87*y + 3*t^8.05*y + 3*t^8.23*y + 2*t^8.42*y - t^8.46*y + 2*t^8.6*y + t^8.78*y + t^8.82*y | t^2.07/g1^18 + t^2.26/g1^8 + 2*g1^12*t^2.62 + g1^22*t^2.8 + g1^32*t^2.98 + t^3.56/g1^2 + g1^8*t^3.74 + g1^28*t^4.11 + (2*t^4.15)/g1^36 + (2*t^4.33)/g1^26 + (2*t^4.51)/g1^16 + (2*t^4.69)/g1^6 + 3*g1^4*t^4.87 + t^4.91/g1^60 + 2*g1^14*t^5.05 + 4*g1^24*t^5.23 + g1^34*t^5.42 + 2*g1^44*t^5.6 + t^5.64/g1^20 + g1^54*t^5.78 + t^5.82/g1^10 + g1^64*t^5.96 - 2*t^6. + g1^10*t^6.18 + (2*t^6.22)/g1^54 + 3*g1^20*t^6.36 + (2*t^6.4)/g1^44 + g1^30*t^6.54 + (2*t^6.58)/g1^34 + 2*g1^40*t^6.72 + (4*t^6.77)/g1^24 + (4*t^6.95)/g1^14 + t^6.99/g1^78 + g1^60*t^7.09 + (5*t^7.13)/g1^4 + t^7.17/g1^68 + 5*g1^6*t^7.31 + 4*g1^16*t^7.49 + t^7.53/g1^48 + 3*g1^26*t^7.67 + t^7.71/g1^38 + 7*g1^36*t^7.85 + t^7.89/g1^28 + 3*g1^46*t^8.03 - (2*t^8.07)/g1^18 + 4*g1^56*t^8.21 - (2*t^8.26)/g1^8 + (2*t^8.3)/g1^72 + 2*g1^66*t^8.4 + (3*t^8.48)/g1^62 + 2*g1^76*t^8.58 - 2*g1^12*t^8.62 + (3*t^8.66)/g1^52 + g1^86*t^8.76 - g1^22*t^8.8 + (3*t^8.84)/g1^42 + g1^96*t^8.94 - (g1^6*t^4.31)/y - t^6.38/(g1^12*y) - t^6.56/(g1^2*y) - (g1^18*t^6.93)/y - (g1^28*t^7.11)/y - (g1^38*t^7.29)/y + (2*t^7.33)/(g1^26*y) + t^7.51/(g1^16*y) + (3*t^7.69)/(g1^6*y) + (3*g1^4*t^7.87)/y + (3*g1^14*t^8.05)/y + (3*g1^24*t^8.23)/y + (2*g1^34*t^8.42)/y - t^8.46/(g1^30*y) + (2*g1^44*t^8.6)/y + (g1^54*t^8.78)/y + t^8.82/(g1^10*y) - g1^6*t^4.31*y - (t^6.38*y)/g1^12 - (t^6.56*y)/g1^2 - g1^18*t^6.93*y - g1^28*t^7.11*y - g1^38*t^7.29*y + (2*t^7.33*y)/g1^26 + (t^7.51*y)/g1^16 + (3*t^7.69*y)/g1^6 + 3*g1^4*t^7.87*y + 3*g1^14*t^8.05*y + 3*g1^24*t^8.23*y + 2*g1^34*t^8.42*y - (t^8.46*y)/g1^30 + 2*g1^44*t^8.6*y + g1^54*t^8.78*y + (t^8.82*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1651 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_6M_7$ | 0.6796 | 0.8399 | 0.8092 | [X:[], M:[0.9879, 1.1295, 0.9292, 0.6943, 0.8705, 0.753, 1.247], q:[0.7824, 0.4059], qb:[0.6062, 0.4646], phi:[0.4352]] | t^2.08 + 2*t^2.61 + t^2.79 + t^2.96 + t^3.56 + 2*t^3.74 + t^4.09 + 2*t^4.17 + t^4.34 + t^4.52 + 2*t^4.69 + t^4.87 + t^4.94 + t^5.05 + 3*t^5.22 + t^5.4 + 2*t^5.58 + t^5.65 + t^5.75 + t^5.82 + t^5.93 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 1653 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ | 0.7143 | 0.9018 | 0.7921 | [X:[], M:[0.9912, 1.1283, 0.9315, 0.6924, 0.8717, 0.7522, 0.812], q:[0.7821, 0.406], qb:[0.6028, 0.4657], phi:[0.4359]] | t^2.08 + t^2.26 + t^2.44 + 2*t^2.62 + t^2.79 + t^2.97 + t^3.74 + t^4.1 + 2*t^4.15 + 2*t^4.33 + 3*t^4.51 + 3*t^4.69 + 4*t^4.87 + t^4.92 + 4*t^5.05 + 5*t^5.23 + 2*t^5.41 + 2*t^5.59 + t^5.77 + t^5.95 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 2119 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.7176 | 0.9089 | 0.7895 | [X:[], M:[0.9983, 1.1256, 0.9363, 0.6884, 0.8744, 0.7504, 0.7504], q:[0.7814, 0.4062], qb:[0.5955, 0.4682], phi:[0.4372]] | t^2.07 + 2*t^2.25 + 2*t^2.62 + t^2.81 + t^2.99 + t^3.56 + t^4.12 + 2*t^4.13 + 3*t^4.32 + 4*t^4.5 + 2*t^4.69 + 5*t^4.87 + t^4.88 + 3*t^5.06 + 5*t^5.25 + t^5.43 + 2*t^5.62 + t^5.63 + t^5.8 + t^5.81 + t^5.99 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 663 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.7021 | 0.8823 | 0.7958 | [X:[], M:[0.9637, 1.1255, 0.9715, 0.6883, 0.8745, 0.6805], q:[0.7814, 0.4411], qb:[0.5951, 0.4334], phi:[0.4372]] | t^2.04 + t^2.06 + 2*t^2.62 + t^2.89 + t^2.91 + t^3.64 + t^3.67 + t^3.91 + t^4.08 + t^4.11 + 2*t^4.13 + t^4.4 + t^4.42 + 2*t^4.66 + 2*t^4.69 + t^4.88 + t^4.93 + 2*t^4.96 + t^4.98 + 3*t^5.25 + t^5.51 + t^5.54 + t^5.69 + 2*t^5.71 + t^5.73 + t^5.78 + t^5.81 + t^5.83 + t^5.95 - 3*t^6. - t^4.31/y - t^4.31*y | detail |