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 |
|---|---|---|---|---|---|---|---|---|---|
| 2214 | 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_4M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6708 | 0.8256 | 0.8125 | [X:[], M:[1.0465, 1.1076, 0.9695, 0.7384, 0.9535, 1.2616, 0.6773], q:[0.7769, 0.4077], qb:[0.5458, 0.4847], phi:[0.4462]] | [X:[], M:[[32], [-12], [22], [-8], [-32], [8], [36]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ \phi_1^2$, $ M_5$, $ M_3$, $ M_2$, $ q_1q_2$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_7\phi_1^2$, $ M_5M_7$, $ M_3M_7$, $ M_2M_7$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_3\phi_1^2$, $ M_7q_1q_2$, $ M_5^2$, $ M_3^2$, $ M_6M_7$, $ M_7q_1\tilde{q}_2$ | . | -2 | t^2.03 + t^2.68 + t^2.86 + t^2.91 + t^3.32 + t^3.55 + 2*t^3.78 + t^4.02 + t^4.06 + t^4.2 + t^4.25 + t^4.43 + t^4.61 + t^4.71 + t^4.89 + t^4.94 + 2*t^5.35 + t^5.54 + t^5.59 + t^5.72 + 2*t^5.82 - 2*t^6. + t^6.05 + t^6.1 + t^6.23 + t^6.28 + 3*t^6.46 + 2*t^6.65 + 2*t^6.69 + t^6.74 + t^6.88 + 2*t^6.92 + t^6.97 + t^7.06 + 2*t^7.11 + t^7.29 + t^7.34 + 2*t^7.39 + t^7.47 + 3*t^7.57 + t^7.62 + 2*t^7.8 + 2*t^7.85 + t^7.98 + t^8.03 + t^8.08 + t^8.13 + t^8.22 + 2*t^8.26 + t^8.31 + 2*t^8.4 - t^8.45 + 3*t^8.49 + t^8.58 + 3*t^8.73 + t^8.77 + t^8.81 - 2*t^8.86 - 2*t^8.91 + 2*t^8.96 - t^4.34/y - t^6.37/y - t^7.25/y + t^7.43/y + t^7.71/y + t^7.89/y + t^7.94/y + t^8.31/y + t^8.35/y - t^8.4/y + t^8.54/y + (2*t^8.59)/y + t^8.77/y + (2*t^8.82)/y - t^4.34*y - t^6.37*y - t^7.25*y + t^7.43*y + t^7.71*y + t^7.89*y + t^7.94*y + t^8.31*y + t^8.35*y - t^8.4*y + t^8.54*y + 2*t^8.59*y + t^8.77*y + 2*t^8.82*y | g1^36*t^2.03 + g1^12*t^2.68 + t^2.86/g1^32 + g1^22*t^2.91 + t^3.32/g1^12 + t^3.55/g1^2 + 2*g1^8*t^3.78 + g1^18*t^4.02 + g1^72*t^4.06 + t^4.2/g1^26 + g1^28*t^4.25 + t^4.43/g1^16 + t^4.61/g1^60 + g1^48*t^4.71 + g1^4*t^4.89 + g1^58*t^4.94 + 2*g1^24*t^5.35 + t^5.54/g1^20 + g1^34*t^5.59 + t^5.72/g1^64 + 2*g1^44*t^5.82 - 2*t^6. + g1^54*t^6.05 + g1^108*t^6.1 + g1^10*t^6.23 + g1^64*t^6.28 + 3*g1^20*t^6.46 + (2*t^6.65)/g1^24 + 2*g1^30*t^6.69 + g1^84*t^6.74 + t^6.88/g1^14 + 2*g1^40*t^6.92 + g1^94*t^6.97 + t^7.06/g1^58 + (2*t^7.11)/g1^4 + t^7.29/g1^48 + g1^6*t^7.34 + 2*g1^60*t^7.39 + t^7.47/g1^92 + 3*g1^16*t^7.57 + g1^70*t^7.62 + 2*g1^26*t^7.8 + 2*g1^80*t^7.85 + t^7.98/g1^18 + g1^36*t^8.03 + g1^90*t^8.08 + g1^144*t^8.13 + t^8.22/g1^8 + 2*g1^46*t^8.26 + g1^100*t^8.31 + (2*t^8.4)/g1^52 - g1^2*t^8.45 + 3*g1^56*t^8.49 + t^8.58/g1^96 + 3*g1^66*t^8.73 + g1^120*t^8.77 + t^8.81/g1^86 - (2*t^8.86)/g1^32 - 2*g1^22*t^8.91 + 2*g1^76*t^8.96 - (g1^6*t^4.34)/y - (g1^42*t^6.37)/y - (g1^28*t^7.25)/y + t^7.43/(g1^16*y) + (g1^48*t^7.71)/y + (g1^4*t^7.89)/y + (g1^58*t^7.94)/y + t^8.31/(g1^30*y) + (g1^24*t^8.35)/y - (g1^78*t^8.4)/y + t^8.54/(g1^20*y) + (2*g1^34*t^8.59)/y + t^8.77/(g1^10*y) + (2*g1^44*t^8.82)/y - g1^6*t^4.34*y - g1^42*t^6.37*y - g1^28*t^7.25*y + (t^7.43*y)/g1^16 + g1^48*t^7.71*y + g1^4*t^7.89*y + g1^58*t^7.94*y + (t^8.31*y)/g1^30 + g1^24*t^8.35*y - g1^78*t^8.4*y + (t^8.54*y)/g1^20 + 2*g1^34*t^8.59*y + (t^8.77*y)/g1^10 + 2*g1^44*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4216 | $\phi_1q_1^2$ + $ 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_4M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ | 0.6863 | 0.8527 | 0.8049 | [X:[], M:[1.045, 1.1081, 0.9684, 0.7388, 0.955, 1.2612, 0.6756, 0.8153], q:[0.777, 0.4077], qb:[0.5474, 0.4842], phi:[0.4459]] | t^2.03 + t^2.45 + t^2.68 + t^2.87 + t^2.91 + t^3.32 + 2*t^3.78 + t^4.01 + t^4.05 + t^4.2 + t^4.24 + t^4.43 + t^4.47 + t^4.62 + t^4.7 + 2*t^4.89 + t^4.93 + t^5.12 + t^5.31 + 3*t^5.35 + t^5.54 + t^5.73 + t^5.77 + 2*t^5.81 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1180 | 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_4M_6$ | 0.65 | 0.7847 | 0.8283 | [X:[], M:[1.0499, 1.1063, 0.9718, 0.7375, 0.9501, 1.2625], q:[0.7766, 0.4078], qb:[0.5423, 0.4859], phi:[0.4469]] | t^2.68 + t^2.85 + t^2.92 + t^3.32 + t^3.55 + 2*t^3.79 + t^3.96 + t^4.02 + t^4.19 + t^4.26 + t^4.43 + t^4.59 + t^5.36 + t^5.53 + t^5.7 - 2*t^6. - t^4.34/y - t^4.34*y | detail |