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 |
|---|---|---|---|---|---|---|---|---|---|
| 2475 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.6078 | 0.7619 | 0.7977 | [X:[1.5891], M:[0.4109, 1.2328, 0.7672, 0.8766, 1.0, 0.9453, 0.7672], q:[0.9109, 0.6781], qb:[0.3219, 0.4453], phi:[0.4109]] | [X:[[1]], M:[[-1], [-3], [3], [-7], [0], [5], [3]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_7$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ X_1$, $ M_3M_4$, $ M_4M_7$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ M_3M_6$, $ M_6M_7$, $ M_4^2$, $ M_3M_5$, $ M_5M_7$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_6^2$, $ M_5M_6$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.3 + t^2.47 + t^2.63 + t^2.84 + t^3. + t^3.53 + t^3.9 + t^4.07 + 3*t^4.6 + 3*t^4.77 + 3*t^4.93 + t^5.1 + 2*t^5.14 + t^5.26 + 3*t^5.3 + t^5.47 + t^5.67 + 2*t^5.84 - t^6. + 2*t^6.21 + 3*t^6.37 + t^6.53 - t^6.7 + t^6.74 - t^6.86 + 5*t^6.9 + 3*t^7.07 + 3*t^7.23 + 3*t^7.4 + 3*t^7.44 + 3*t^7.56 + 5*t^7.6 + t^7.73 + 2*t^7.77 + t^7.81 + t^7.89 + 3*t^7.97 + 4*t^8.14 - 3*t^8.3 - 3*t^8.47 + 4*t^8.51 - 3*t^8.63 + 5*t^8.67 - t^4.23/y - t^6.53/y - t^6.7/y - t^6.86/y - t^7.07/y + t^7.4/y + (2*t^7.6)/y + (3*t^7.77)/y + (3*t^7.93)/y + t^8.1/y + (2*t^8.14)/y + (3*t^8.3)/y + (2*t^8.47)/y + t^8.63/y + (2*t^8.84)/y - t^4.23*y - t^6.53*y - t^6.7*y - t^6.86*y - t^7.07*y + t^7.4*y + 2*t^7.6*y + 3*t^7.77*y + 3*t^7.93*y + t^8.1*y + 2*t^8.14*y + 3*t^8.3*y + 2*t^8.47*y + t^8.63*y + 2*t^8.84*y | 2*g1^3*t^2.3 + t^2.47/g1^2 + t^2.63/g1^7 + g1^5*t^2.84 + t^3. + g1^2*t^3.53 + g1^9*t^3.9 + g1^4*t^4.07 + 3*g1^6*t^4.6 + 3*g1*t^4.77 + (3*t^4.93)/g1^4 + t^5.1/g1^9 + 2*g1^8*t^5.14 + t^5.26/g1^14 + 3*g1^3*t^5.3 + t^5.47/g1^2 + g1^10*t^5.67 + 2*g1^5*t^5.84 - t^6. + 2*g1^12*t^6.21 + 3*g1^7*t^6.37 + g1^2*t^6.53 - t^6.7/g1^3 + g1^14*t^6.74 - t^6.86/g1^8 + 5*g1^9*t^6.9 + 3*g1^4*t^7.07 + (3*t^7.23)/g1 + (3*t^7.4)/g1^6 + 3*g1^11*t^7.44 + (3*t^7.56)/g1^11 + 5*g1^6*t^7.6 + t^7.73/g1^16 + 2*g1*t^7.77 + g1^18*t^7.81 + t^7.89/g1^21 + 3*g1^13*t^7.97 + 4*g1^8*t^8.14 - 3*g1^3*t^8.3 - (3*t^8.47)/g1^2 + 4*g1^15*t^8.51 - (3*t^8.63)/g1^7 + 5*g1^10*t^8.67 - t^4.23/(g1*y) - (g1^2*t^6.53)/y - t^6.7/(g1^3*y) - t^6.86/(g1^8*y) - (g1^4*t^7.07)/y + t^7.4/(g1^6*y) + (2*g1^6*t^7.6)/y + (3*g1*t^7.77)/y + (3*t^7.93)/(g1^4*y) + t^8.1/(g1^9*y) + (2*g1^8*t^8.14)/y + (3*g1^3*t^8.3)/y + (2*t^8.47)/(g1^2*y) + t^8.63/(g1^7*y) + (2*g1^5*t^8.84)/y - (t^4.23*y)/g1 - g1^2*t^6.53*y - (t^6.7*y)/g1^3 - (t^6.86*y)/g1^8 - g1^4*t^7.07*y + (t^7.4*y)/g1^6 + 2*g1^6*t^7.6*y + 3*g1*t^7.77*y + (3*t^7.93*y)/g1^4 + (t^8.1*y)/g1^9 + 2*g1^8*t^8.14*y + 3*g1^3*t^8.3*y + (2*t^8.47*y)/g1^2 + (t^8.63*y)/g1^7 + 2*g1^5*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 4530 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.623 | 0.7878 | 0.7908 | [X:[1.5907], M:[0.4093, 1.2279, 0.7721, 0.865, 1.0, 0.9536, 0.7721, 0.8186], q:[0.9093, 0.6814], qb:[0.3186, 0.4536], phi:[0.4093]] | 2*t^2.32 + 2*t^2.46 + t^2.6 + t^2.86 + t^3. + t^3.95 + t^4.09 + 3*t^4.63 + 5*t^4.77 + 5*t^4.91 + 2*t^5.05 + 2*t^5.18 + t^5.19 + 4*t^5.32 + 2*t^5.46 + t^5.72 - 2*t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1416 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.7413 | 0.9257 | 0.8008 | [X:[], M:[0.818, 1.0276, 0.9724, 0.8732, 1.0, 0.693, 0.9724], q:[0.6048, 0.5772], qb:[0.4228, 0.5496], phi:[0.4614]] | t^2.08 + t^2.45 + t^2.62 + t^2.77 + 2*t^2.92 + t^3. + t^3.46 + t^4.16 + t^4.3 + t^4.38 + t^4.47 + t^4.53 + t^4.68 + t^4.7 + t^4.76 + 3*t^4.85 + t^4.91 + t^4.93 + 2*t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.22 + t^5.24 + 2*t^5.37 + t^5.39 + 3*t^5.54 + 2*t^5.69 + t^5.77 + 2*t^5.83 + t^5.92 - 3*t^6. - t^4.38/y - t^4.38*y | detail |