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 |
|---|---|---|---|---|---|---|---|---|---|
| 2829 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ | 0.6884 | 0.8584 | 0.802 | [X:[], M:[0.7083, 1.0972, 0.9884, 0.7315, 1.0116], q:[0.7743, 0.5174], qb:[0.4942, 0.4086], phi:[0.4514]] | [X:[], M:[[36], [-12], [22], [-8], [-22]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_5$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_1M_2$, $ \phi_1^4$, $ M_2M_4$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$ | . | -1 | t^2.12 + t^2.19 + t^2.71 + t^2.78 + t^3.03 + t^3.29 + t^3.55 + t^3.81 + t^4.06 + t^4.13 + t^4.25 + 2*t^4.32 + 2*t^4.39 + t^4.46 + t^4.83 + 2*t^4.9 + t^4.97 + t^5.16 + t^5.23 + 2*t^5.42 + 2*t^5.49 + t^5.56 + t^5.74 + t^5.81 - t^6. + t^6.07 + t^6.19 + t^6.26 + 2*t^6.33 + t^6.37 + 2*t^6.44 + 3*t^6.51 + 4*t^6.58 + t^6.65 + 2*t^6.84 + t^6.91 + t^6.96 + 2*t^7.03 + 3*t^7.1 + 3*t^7.17 + t^7.24 + t^7.35 + t^7.42 + t^7.49 + 2*t^7.54 + 3*t^7.61 + 2*t^7.68 + t^7.75 + t^7.87 + 2*t^7.94 + t^8.01 + 2*t^8.26 + t^8.31 + t^8.33 + t^8.38 + t^8.45 + t^8.5 + 2*t^8.52 + 2*t^8.57 + 2*t^8.59 + 3*t^8.64 + 2*t^8.71 + 2*t^8.78 + 3*t^8.85 + t^8.9 + t^8.92 - t^4.35/y - t^6.48/y - t^6.55/y + t^7.32/y + t^7.83/y + (2*t^7.9)/y + t^7.97/y + (2*t^8.16)/y + (2*t^8.23)/y + t^8.42/y + (2*t^8.49)/y - t^8.6/y + t^8.74/y + t^8.81/y + t^8.93/y - t^4.35*y - t^6.48*y - t^6.55*y + t^7.32*y + t^7.83*y + 2*t^7.9*y + t^7.97*y + 2*t^8.16*y + 2*t^8.23*y + t^8.42*y + 2*t^8.49*y - t^8.6*y + t^8.74*y + t^8.81*y + t^8.93*y | g1^36*t^2.12 + t^2.19/g1^8 + g1^12*t^2.71 + t^2.78/g1^32 + t^3.03/g1^22 + t^3.29/g1^12 + t^3.55/g1^2 + g1^8*t^3.81 + g1^18*t^4.06 + t^4.13/g1^26 + g1^72*t^4.25 + 2*g1^28*t^4.32 + (2*t^4.39)/g1^16 + t^4.46/g1^60 + g1^48*t^4.83 + 2*g1^4*t^4.9 + t^4.97/g1^40 + g1^14*t^5.16 + t^5.23/g1^30 + 2*g1^24*t^5.42 + (2*t^5.49)/g1^20 + t^5.56/g1^64 + t^5.74/g1^10 + t^5.81/g1^54 - t^6. + t^6.07/g1^44 + g1^54*t^6.19 + g1^10*t^6.26 + (2*t^6.33)/g1^34 + g1^108*t^6.37 + 2*g1^64*t^6.44 + 3*g1^20*t^6.51 + (4*t^6.58)/g1^24 + t^6.65/g1^68 + (2*t^6.84)/g1^14 + t^6.91/g1^58 + g1^84*t^6.96 + 2*g1^40*t^7.03 + (3*t^7.1)/g1^4 + (3*t^7.17)/g1^48 + t^7.24/g1^92 + g1^6*t^7.35 + t^7.42/g1^38 + t^7.49/g1^82 + 2*g1^60*t^7.54 + 3*g1^16*t^7.61 + (2*t^7.68)/g1^28 + t^7.75/g1^72 + g1^26*t^7.87 + (2*t^7.94)/g1^18 + t^8.01/g1^62 + (2*t^8.26)/g1^52 + g1^90*t^8.31 + t^8.33/g1^96 + g1^46*t^8.38 + g1^2*t^8.45 + g1^144*t^8.5 + (2*t^8.52)/g1^42 + 2*g1^100*t^8.57 + (2*t^8.59)/g1^86 + 3*g1^56*t^8.64 + 2*g1^12*t^8.71 + (2*t^8.78)/g1^32 + (3*t^8.85)/g1^76 + g1^66*t^8.9 + t^8.92/g1^120 - (g1^6*t^4.35)/y - (g1^42*t^6.48)/y - t^6.55/(g1^2*y) + (g1^28*t^7.32)/y + (g1^48*t^7.83)/y + (2*g1^4*t^7.9)/y + t^7.97/(g1^40*y) + (2*g1^14*t^8.16)/y + (2*t^8.23)/(g1^30*y) + (g1^24*t^8.42)/y + (2*t^8.49)/(g1^20*y) - (g1^78*t^8.6)/y + t^8.74/(g1^10*y) + t^8.81/(g1^54*y) + (g1^44*t^8.93)/y - g1^6*t^4.35*y - g1^42*t^6.48*y - (t^6.55*y)/g1^2 + g1^28*t^7.32*y + g1^48*t^7.83*y + 2*g1^4*t^7.9*y + (t^7.97*y)/g1^40 + 2*g1^14*t^8.16*y + (2*t^8.23*y)/g1^30 + g1^24*t^8.42*y + (2*t^8.49*y)/g1^20 - g1^78*t^8.6*y + (t^8.74*y)/g1^10 + (t^8.81*y)/g1^54 + g1^44*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 3373 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_2M_6$ | 0.6974 | 0.8735 | 0.7985 | [X:[], M:[0.6948, 1.1017, 0.9801, 0.7345, 1.0199, 0.8983], q:[0.7754, 0.5298], qb:[0.4901, 0.4082], phi:[0.4491]] | t^2.08 + t^2.2 + 2*t^2.69 + t^2.81 + t^3.06 + t^3.55 + t^3.8 + t^4.04 + t^4.16 + t^4.17 + 2*t^4.29 + 2*t^4.41 + t^4.53 + 2*t^4.78 + 3*t^4.9 + t^5.02 + t^5.14 + t^5.26 + 3*t^5.39 + 2*t^5.51 + t^5.63 + 2*t^5.75 + t^5.87 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 3371 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ | 0.6687 | 0.8219 | 0.8136 | [X:[], M:[0.7047, 1.0984, 0.9862, 0.7323, 1.0138, 1.2677], q:[0.7746, 0.5206], qb:[0.4931, 0.4085], phi:[0.4508]] | t^2.11 + t^2.7 + t^2.79 + t^3.04 + t^3.3 + t^3.55 + 2*t^3.8 + t^4.06 + t^4.14 + t^4.23 + t^4.31 + t^4.39 + t^4.48 + t^4.82 + t^4.9 + t^5.16 + 2*t^5.41 + t^5.49 + t^5.57 + t^5.83 + t^5.92 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 3372 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ | 0.6831 | 0.8497 | 0.8039 | [X:[], M:[0.669, 1.1103, 0.9644, 0.7402, 1.0356, 1.0391], q:[0.7776, 0.5535], qb:[0.4822, 0.4075], phi:[0.4448]] | t^2.01 + t^2.22 + t^2.67 + t^3.11 + t^3.12 + t^3.33 + t^3.56 + t^3.78 + t^4. + t^4.01 + t^4.22 + 2*t^4.23 + 2*t^4.44 + t^4.66 + t^4.68 + t^4.89 + t^5.11 + t^5.12 + t^5.33 + 3*t^5.34 + t^5.55 + t^5.78 + t^5.79 - t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1813 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ | 0.6903 | 0.8614 | 0.8014 | [X:[], M:[0.6811, 1.1063, 0.9718, 0.7375], q:[0.7766, 0.5423], qb:[0.4859, 0.4078], phi:[0.4469]] | t^2.04 + t^2.21 + t^2.68 + t^2.85 + t^2.92 + t^3.32 + t^3.55 + t^3.79 + t^4.02 + t^4.09 + t^4.19 + 2*t^4.26 + 2*t^4.43 + t^4.59 + t^4.72 + 2*t^4.89 + t^4.96 + t^5.06 + t^5.13 + 2*t^5.36 + 2*t^5.53 + t^5.6 + t^5.7 + t^5.77 + t^5.83 - t^6. - t^4.34/y - t^4.34*y | detail |