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 |
|---|---|---|---|---|---|---|---|---|---|
| 638 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6432 | 0.8175 | 0.7868 | [X:[], M:[1.2117, 1.1059, 0.7883, 0.8941, 0.7117], q:[0.75, 0.4324], qb:[0.3559, 0.4617], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_1M_5$, $ M_5q_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | 1 | t^2.14 + t^2.36 + t^2.45 + t^2.68 + t^3. + t^3.32 + t^3.55 + 2*t^3.64 + t^3.95 + t^4.09 + t^4.18 + 2*t^4.27 + t^4.5 + t^4.59 + t^4.73 + 2*t^4.82 + t^4.91 + t^5.05 + 2*t^5.14 + 2*t^5.36 + 2*t^5.45 + 2*t^5.68 + 2*t^5.77 + t^6. + 2*t^6.09 + t^6.23 + 2*t^6.32 + 3*t^6.41 + t^6.46 + t^6.55 + 4*t^6.64 + 2*t^6.72 + t^6.78 + t^6.86 + 4*t^6.95 + t^7.04 + 2*t^7.09 + t^7.18 + 5*t^7.27 + t^7.36 + t^7.5 + 4*t^7.59 + t^7.64 + 2*t^7.73 + 3*t^7.82 + 5*t^7.91 + t^8.05 + t^8.19 + 3*t^8.22 + t^8.28 + 2*t^8.36 + 2*t^8.45 + 5*t^8.54 - t^8.68 + 3*t^8.77 + t^8.82 + 3*t^8.86 + t^8.91 - t^4.5/y - t^6.64/y + t^7.5/y + t^7.59/y + (2*t^7.82)/y + t^8.05/y + (2*t^8.14)/y + (2*t^8.36)/y + (2*t^8.45)/y + (3*t^8.68)/y + (2*t^8.77)/y + t^8.91/y - t^4.5*y - t^6.64*y + t^7.5*y + t^7.59*y + 2*t^7.82*y + t^8.05*y + 2*t^8.14*y + 2*t^8.36*y + 2*t^8.45*y + 3*t^8.68*y + 2*t^8.77*y + t^8.91*y | g1^2*t^2.14 + t^2.36/g1^2 + g1^3*t^2.45 + t^2.68/g1 + t^3. + g1*t^3.32 + t^3.55/g1^3 + 2*g1^2*t^3.64 + g1^3*t^3.95 + t^4.09/g1^6 + t^4.18/g1 + 2*g1^4*t^4.27 + t^4.5 + g1^5*t^4.59 + t^4.73/g1^4 + 2*g1*t^4.82 + g1^6*t^4.91 + t^5.05/g1^3 + 2*g1^2*t^5.14 + (2*t^5.36)/g1^2 + 2*g1^3*t^5.45 + (2*t^5.68)/g1 + 2*g1^4*t^5.77 + t^6. + 2*g1^5*t^6.09 + t^6.23/g1^4 + 2*g1*t^6.32 + 3*g1^6*t^6.41 + t^6.46/g1^8 + t^6.55/g1^3 + 4*g1^2*t^6.64 + 2*g1^7*t^6.72 + t^6.78/g1^7 + t^6.86/g1^2 + 4*g1^3*t^6.95 + g1^8*t^7.04 + (2*t^7.09)/g1^6 + t^7.18/g1 + 5*g1^4*t^7.27 + g1^9*t^7.36 + t^7.5 + 4*g1^5*t^7.59 + t^7.64/g1^9 + (2*t^7.73)/g1^4 + 3*g1*t^7.82 + 5*g1^6*t^7.91 + t^8.05/g1^3 + t^8.19/g1^12 + 3*g1^7*t^8.22 + t^8.28/g1^7 + (2*t^8.36)/g1^2 + 2*g1^3*t^8.45 + 5*g1^8*t^8.54 - t^8.68/g1 + 3*g1^4*t^8.77 + t^8.82/g1^10 + 3*g1^9*t^8.86 + t^8.91/g1^5 - t^4.5/y - (g1^2*t^6.64)/y + t^7.5/y + (g1^5*t^7.59)/y + (2*g1*t^7.82)/y + t^8.05/(g1^3*y) + (2*g1^2*t^8.14)/y + (2*t^8.36)/(g1^2*y) + (2*g1^3*t^8.45)/y + (3*t^8.68)/(g1*y) + (2*g1^4*t^8.77)/y + t^8.91/(g1^5*y) - t^4.5*y - g1^2*t^6.64*y + t^7.5*y + g1^5*t^7.59*y + 2*g1*t^7.82*y + (t^8.05*y)/g1^3 + 2*g1^2*t^8.14*y + (2*t^8.36*y)/g1^2 + 2*g1^3*t^8.45*y + (3*t^8.68*y)/g1 + 2*g1^4*t^8.77*y + (t^8.91*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1015 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.664 | 0.8582 | 0.7737 | [X:[], M:[1.2133, 1.1066, 0.7867, 0.8934, 0.7133, 0.6801], q:[0.75, 0.4301], qb:[0.3566, 0.4633], phi:[0.5]] | t^2.04 + t^2.14 + t^2.36 + t^2.46 + t^2.68 + t^3. + t^3.32 + t^3.54 + 2*t^3.64 + 2*t^4.08 + 2*t^4.18 + 2*t^4.28 + t^4.4 + 2*t^4.5 + t^4.6 + 2*t^4.72 + 2*t^4.82 + t^4.92 + 2*t^5.04 + 2*t^5.14 + 3*t^5.36 + 2*t^5.46 + t^5.58 + 4*t^5.68 + 2*t^5.78 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 1964 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1q_2$ | 0.6593 | 0.8469 | 0.7784 | [X:[], M:[1.1992, 1.0996, 0.8008, 0.9004, 0.6992, 0.7987], q:[0.75, 0.4513], qb:[0.3496, 0.4492], phi:[0.5]] | t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.19 + t^4.2 + t^4.21 + 2*t^4.49 + t^4.5 + 3*t^4.79 + 3*t^4.8 + t^4.81 + 4*t^5.1 + 5*t^5.4 + 3*t^5.69 + t^5.7 + 4*t^5.99 - t^4.5/y - t^4.5*y | detail | |
| 1965 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.653 | 0.8337 | 0.7832 | [X:[], M:[1.2176, 1.1088, 0.7824, 0.8912, 0.7176, 0.8912], q:[0.75, 0.4237], qb:[0.3588, 0.4676], phi:[0.5]] | t^2.15 + t^2.35 + t^2.48 + 2*t^2.67 + t^3. + t^3.52 + 2*t^3.65 + t^3.98 + t^4.04 + t^4.17 + 2*t^4.31 + t^4.5 + t^4.63 + t^4.69 + 3*t^4.83 + t^4.96 + 2*t^5.02 + 3*t^5.15 + 4*t^5.35 + t^5.48 + 2*t^5.67 + t^5.81 - t^4.5/y - t^4.5*y | detail | |
| 1016 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6286 | 0.7919 | 0.7937 | [X:[], M:[1.2268, 1.1134, 0.7732, 0.8866, 0.7268, 1.1599], q:[0.75, 0.4099], qb:[0.3634, 0.4768], phi:[0.5]] | t^2.18 + t^2.32 + t^2.66 + t^3. + t^3.34 + 2*t^3.48 + 2*t^3.68 + t^3.96 + t^4.02 + t^4.16 + 2*t^4.36 + t^4.5 + t^4.64 + t^4.84 + t^4.98 + t^5.18 + 2*t^5.32 + t^5.52 + 3*t^5.66 + t^5.8 + t^5.86 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 395 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ | 0.623 | 0.7792 | 0.7995 | [X:[], M:[1.2153, 1.1076, 0.7847, 0.8924], q:[0.75, 0.4271], qb:[0.3576, 0.4653], phi:[0.5]] | t^2.35 + t^2.47 + t^2.68 + t^3. + t^3.32 + t^3.53 + 2*t^3.65 + t^3.85 + t^3.97 + t^4.06 + t^4.18 + t^4.29 + t^4.71 + t^4.82 + t^4.94 + t^5.03 + t^5.15 + 2*t^5.35 + t^5.47 + t^5.68 + t^6. - t^4.5/y - t^4.5*y | detail |