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 |
|---|---|---|---|---|---|---|---|---|---|
| 2231 | 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_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_1$ | 0.7058 | 0.8884 | 0.7944 | [X:[], M:[1.0484, 1.1069, 0.9707, 0.7379, 0.9516, 0.8155, 0.6794], q:[0.7767, 0.4078], qb:[0.5439, 0.4854], phi:[0.4466]] | [X:[], M:[[32], [-12], [22], [-8], [-32], [2], [36]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_4M_6$, $ M_7\phi_1^2$, $ M_6^2$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_3M_7$, $ M_4M_5$, $ M_3M_4$, $ M_6\phi_1^2$, $ M_5M_6$, $ M_3M_6$, $ M_2M_7$, $ \phi_1^4$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_3M_5$, $ M_2M_6$, $ M_3^2$, $ M_7q_1\tilde{q}_2$ | . | -1 | t^2.04 + t^2.21 + t^2.45 + t^2.68 + t^2.85 + t^2.91 + t^3.32 + t^3.79 + t^4.02 + t^4.08 + t^4.19 + 2*t^4.25 + 2*t^4.43 + t^4.48 + t^4.6 + t^4.66 + t^4.72 + 3*t^4.89 + t^4.95 + t^5.07 + 2*t^5.13 + t^5.3 + 3*t^5.36 + 2*t^5.53 + t^5.71 + t^5.77 + t^5.82 - t^6. + t^6.06 + t^6.11 + 2*t^6.23 + 2*t^6.29 + 4*t^6.47 + t^6.52 + 4*t^6.64 + 3*t^6.7 + t^6.76 + t^6.82 + 2*t^6.87 + 4*t^6.93 + t^6.99 + 2*t^7.05 + 3*t^7.11 + 2*t^7.16 + 2*t^7.28 + 3*t^7.34 + 3*t^7.4 + t^7.46 + t^7.52 + 4*t^7.57 + 2*t^7.75 + 3*t^7.81 + t^7.86 + t^7.92 + t^7.98 + t^8.04 + t^8.1 + t^8.15 + 3*t^8.27 + 2*t^8.33 + t^8.39 - 2*t^8.45 + 4*t^8.5 + 2*t^8.56 + 4*t^8.68 + 4*t^8.74 + t^8.79 + t^8.8 + t^8.85 + t^8.91 + 4*t^8.97 - t^4.34/y - t^6.38/y - t^6.55/y - t^6.79/y + t^7.43/y + t^7.48/y + t^7.66/y + t^7.72/y + (3*t^7.89)/y + t^7.95/y + t^8.07/y + (3*t^8.13)/y + (2*t^8.3)/y + (2*t^8.36)/y - t^8.42/y + (2*t^8.53)/y + t^8.77/y - t^4.34*y - t^6.38*y - t^6.55*y - t^6.79*y + t^7.43*y + t^7.48*y + t^7.66*y + t^7.72*y + 3*t^7.89*y + t^7.95*y + t^8.07*y + 3*t^8.13*y + 2*t^8.3*y + 2*t^8.36*y - t^8.42*y + 2*t^8.53*y + t^8.77*y | g1^36*t^2.04 + t^2.21/g1^8 + g1^2*t^2.45 + g1^12*t^2.68 + t^2.85/g1^32 + g1^22*t^2.91 + t^3.32/g1^12 + g1^8*t^3.79 + g1^18*t^4.02 + g1^72*t^4.08 + t^4.19/g1^26 + 2*g1^28*t^4.25 + (2*t^4.43)/g1^16 + g1^38*t^4.48 + t^4.6/g1^60 + t^4.66/g1^6 + g1^48*t^4.72 + 3*g1^4*t^4.89 + g1^58*t^4.95 + t^5.07/g1^40 + 2*g1^14*t^5.13 + t^5.3/g1^30 + 3*g1^24*t^5.36 + (2*t^5.53)/g1^20 + t^5.71/g1^64 + t^5.77/g1^10 + g1^44*t^5.82 - t^6. + g1^54*t^6.06 + g1^108*t^6.11 + 2*g1^10*t^6.23 + 2*g1^64*t^6.29 + 4*g1^20*t^6.47 + g1^74*t^6.52 + (4*t^6.64)/g1^24 + 3*g1^30*t^6.7 + g1^84*t^6.76 + t^6.82/g1^68 + (2*t^6.87)/g1^14 + 4*g1^40*t^6.93 + g1^94*t^6.99 + (2*t^7.05)/g1^58 + (3*t^7.11)/g1^4 + 2*g1^50*t^7.16 + (2*t^7.28)/g1^48 + 3*g1^6*t^7.34 + 3*g1^60*t^7.4 + t^7.46/g1^92 + t^7.52/g1^38 + 4*g1^16*t^7.57 + (2*t^7.75)/g1^28 + 3*g1^26*t^7.81 + g1^80*t^7.86 + t^7.92/g1^72 + t^7.98/g1^18 + g1^36*t^8.04 + g1^90*t^8.1 + g1^144*t^8.15 + 3*g1^46*t^8.27 + 2*g1^100*t^8.33 + t^8.39/g1^52 - 2*g1^2*t^8.45 + 4*g1^56*t^8.5 + t^8.56/g1^96 + g1^110*t^8.56 + 4*g1^12*t^8.68 + 4*g1^66*t^8.74 + g1^120*t^8.79 + t^8.8/g1^86 + t^8.85/g1^32 + g1^22*t^8.91 + 4*g1^76*t^8.97 - (g1^6*t^4.34)/y - (g1^42*t^6.38)/y - t^6.55/(g1^2*y) - (g1^8*t^6.79)/y + t^7.43/(g1^16*y) + (g1^38*t^7.48)/y + t^7.66/(g1^6*y) + (g1^48*t^7.72)/y + (3*g1^4*t^7.89)/y + (g1^58*t^7.95)/y + t^8.07/(g1^40*y) + (3*g1^14*t^8.13)/y + (2*t^8.3)/(g1^30*y) + (2*g1^24*t^8.36)/y - (g1^78*t^8.42)/y + (2*t^8.53)/(g1^20*y) + t^8.77/(g1^10*y) - g1^6*t^4.34*y - g1^42*t^6.38*y - (t^6.55*y)/g1^2 - g1^8*t^6.79*y + (t^7.43*y)/g1^16 + g1^38*t^7.48*y + (t^7.66*y)/g1^6 + g1^48*t^7.72*y + 3*g1^4*t^7.89*y + g1^58*t^7.95*y + (t^8.07*y)/g1^40 + 3*g1^14*t^8.13*y + (2*t^8.3*y)/g1^30 + 2*g1^24*t^8.36*y - g1^78*t^8.42*y + (2*t^8.53*y)/g1^20 + (t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 4231 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.7253 | 0.9243 | 0.7847 | [X:[], M:[1.0517, 1.1056, 0.973, 0.7371, 0.9483, 0.8157, 0.6832, 0.7371], q:[0.7764, 0.4079], qb:[0.5404, 0.4865], phi:[0.4472]] | t^2.05 + 2*t^2.21 + t^2.45 + t^2.68 + t^2.84 + t^2.92 + t^3.32 + t^4.02 + t^4.1 + t^4.19 + 3*t^4.26 + 4*t^4.42 + t^4.5 + t^4.58 + 2*t^4.66 + t^4.73 + 4*t^4.89 + t^4.97 + 2*t^5.06 + 3*t^5.13 + t^5.29 + 3*t^5.37 + 3*t^5.53 + t^5.69 + t^5.76 - 2*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1182 | 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_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.685 | 0.8478 | 0.808 | [X:[], M:[1.0524, 1.1054, 0.9735, 0.7369, 0.9476, 0.8158], q:[0.7763, 0.4079], qb:[0.5398, 0.4867], phi:[0.4473]] | t^2.21 + t^2.45 + t^2.68 + t^2.84 + t^2.92 + t^3.32 + t^3.79 + t^3.95 + t^4.03 + t^4.18 + t^4.26 + 2*t^4.42 + t^4.58 + t^4.66 + 2*t^4.89 + t^5.05 + 2*t^5.13 + t^5.29 + 2*t^5.37 + 2*t^5.53 + t^5.69 + t^5.76 - t^6. - t^4.34/y - t^4.34*y | detail |