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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[36], [-12], [22], [-8]], 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_3$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_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_1M_3$, $ M_4q_2\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1^4$, $ M_2M_4$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_3^2$ | . | -1 | 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^6.07 + t^6.13 + 2*t^6.23 + 2*t^6.3 + t^6.4 + 4*t^6.47 + 3*t^6.64 + t^6.7 + t^6.77 + t^6.81 + t^6.87 + 3*t^6.94 + t^7. + t^7.04 + 3*t^7.11 + t^7.17 + 2*t^7.28 + t^7.34 + 2*t^7.41 + t^7.44 + 3*t^7.57 + t^7.64 + 2*t^7.74 + 2*t^7.81 + t^7.87 + t^7.91 + t^7.98 + t^8.04 + t^8.11 + t^8.17 - t^8.21 + 3*t^8.28 + 2*t^8.34 + t^8.38 + t^8.45 + 4*t^8.51 + t^8.55 + t^8.62 + 3*t^8.68 + 2*t^8.75 + t^8.79 + t^8.81 + t^8.85 - t^8.92 + 3*t^8.98 - t^4.34/y - t^6.38/y - t^6.55/y + t^7.43/y + t^7.72/y + (2*t^7.89)/y + t^7.96/y + t^8.06/y + (2*t^8.13)/y + t^8.3/y + t^8.36/y - t^8.43/y + (2*t^8.53)/y + t^8.6/y + t^8.77/y + t^8.83/y - t^4.34*y - t^6.38*y - t^6.55*y + t^7.43*y + t^7.72*y + 2*t^7.89*y + t^7.96*y + t^8.06*y + 2*t^8.13*y + t^8.3*y + t^8.36*y - t^8.43*y + 2*t^8.53*y + t^8.6*y + t^8.77*y + t^8.83*y | g1^36*t^2.04 + t^2.21/g1^8 + g1^12*t^2.68 + t^2.85/g1^32 + g1^22*t^2.92 + t^3.32/g1^12 + t^3.55/g1^2 + g1^8*t^3.79 + g1^18*t^4.02 + g1^72*t^4.09 + t^4.19/g1^26 + 2*g1^28*t^4.26 + (2*t^4.43)/g1^16 + t^4.59/g1^60 + g1^48*t^4.72 + 2*g1^4*t^4.89 + g1^58*t^4.96 + t^5.06/g1^40 + g1^14*t^5.13 + 2*g1^24*t^5.36 + (2*t^5.53)/g1^20 + g1^34*t^5.6 + t^5.7/g1^64 + t^5.77/g1^10 + g1^44*t^5.83 - t^6. + g1^54*t^6.07 + g1^108*t^6.13 + 2*g1^10*t^6.23 + 2*g1^64*t^6.3 + t^6.4/g1^34 + 4*g1^20*t^6.47 + (3*t^6.64)/g1^24 + g1^30*t^6.7 + g1^84*t^6.77 + t^6.81/g1^68 + t^6.87/g1^14 + 3*g1^40*t^6.94 + g1^94*t^7. + t^7.04/g1^58 + (3*t^7.11)/g1^4 + g1^50*t^7.17 + (2*t^7.28)/g1^48 + g1^6*t^7.34 + 2*g1^60*t^7.41 + t^7.44/g1^92 + 3*g1^16*t^7.57 + g1^70*t^7.64 + (2*t^7.74)/g1^28 + 2*g1^26*t^7.81 + g1^80*t^7.87 + t^7.91/g1^72 + t^7.98/g1^18 + g1^36*t^8.04 + g1^90*t^8.11 + g1^144*t^8.17 - t^8.21/g1^8 + 3*g1^46*t^8.28 + 2*g1^100*t^8.34 + t^8.38/g1^52 + g1^2*t^8.45 + 4*g1^56*t^8.51 + t^8.55/g1^96 + t^8.62/g1^42 + 3*g1^12*t^8.68 + 2*g1^66*t^8.75 + t^8.79/g1^86 + g1^120*t^8.81 + t^8.85/g1^32 - g1^22*t^8.92 + 3*g1^76*t^8.98 - (g1^6*t^4.34)/y - (g1^42*t^6.38)/y - t^6.55/(g1^2*y) + t^7.43/(g1^16*y) + (g1^48*t^7.72)/y + (2*g1^4*t^7.89)/y + (g1^58*t^7.96)/y + t^8.06/(g1^40*y) + (2*g1^14*t^8.13)/y + t^8.3/(g1^30*y) + (g1^24*t^8.36)/y - (g1^78*t^8.43)/y + (2*t^8.53)/(g1^20*y) + (g1^34*t^8.6)/y + t^8.77/(g1^10*y) + (g1^44*t^8.83)/y - g1^6*t^4.34*y - g1^42*t^6.38*y - (t^6.55*y)/g1^2 + (t^7.43*y)/g1^16 + g1^48*t^7.72*y + 2*g1^4*t^7.89*y + g1^58*t^7.96*y + (t^8.06*y)/g1^40 + 2*g1^14*t^8.13*y + (t^8.3*y)/g1^30 + g1^24*t^8.36*y - g1^78*t^8.43*y + (2*t^8.53*y)/g1^20 + g1^34*t^8.6*y + (t^8.77*y)/g1^10 + g1^44*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 2828 | $M_1q_1q_2$ + $ 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_1M_3$ | 0.6407 | 0.8088 | 0.7921 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + t^4.55 + 2*t^4.76 + 2*t^4.97 + 2*t^5.17 + 2*t^5.38 + 3*t^5.59 + 4*t^5.79 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 125001/195112, c: 19725/24389, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 2829 | $M_1q_1q_2$ + $ 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]] | 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^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 348 | 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$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | t^2.05 + t^2.08 + t^2.68 + t^2.91 + t^2.99 + t^3.32 + t^3.62 + t^3.72 + t^4.03 + t^4.1 + 2*t^4.13 + t^4.16 + t^4.25 + t^4.36 + t^4.58 + t^4.74 + t^4.76 + t^4.96 + t^4.99 + t^5.04 + t^5.07 + 2*t^5.37 + t^5.4 + t^5.59 + t^5.67 + t^5.7 + t^5.8 + t^5.82 + t^5.97 - 2*t^6. - t^4.34/y - t^4.34*y | detail |