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 |
---|---|---|---|---|---|---|---|---|---|
1217 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6327 | 0.784 | 0.807 | [X:[], M:[0.8155, 0.7639, 1.1845, 0.8412, 1.2103, 0.7382], q:[0.8026, 0.8026], qb:[0.382, 0.4335], phi:[0.3948]] | [X:[], M:[[6], [-14], [-6], [16], [4], [-24]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_1M_6$, $ M_1M_2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ q_1q_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_3M_6$, $ M_6q_1\tilde{q}_1$, $ M_2M_3$, $ M_5M_6$, $ M_2q_1\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_6q_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | $M_2q_1\tilde{q}_2$ | 0 | t^2.21 + t^2.29 + t^2.45 + t^2.52 + 2*t^3.55 + 2*t^3.63 + t^3.71 + t^4.43 + t^4.51 + t^4.58 + t^4.66 + 2*t^4.74 + 2*t^4.82 + t^4.89 + t^4.97 + t^5.05 + 2*t^5.77 + 3*t^5.85 + t^5.92 + 2*t^6.08 + 2*t^6.15 + t^6.23 + t^6.64 + t^6.72 + t^6.8 + 2*t^6.88 + 2*t^6.95 + 2*t^7.03 + 3*t^7.11 + 2*t^7.18 + 3*t^7.26 + 2*t^7.34 + t^7.42 + t^7.49 + t^7.57 + 2*t^7.98 + 3*t^8.06 + 2*t^8.14 + 2*t^8.37 - t^8.52 + t^8.6 + 2*t^8.68 + t^8.76 + t^8.86 + t^8.94 - t^4.18/y - t^6.4/y - t^6.48/y - t^6.71/y + t^7.51/y + (2*t^7.66)/y + (2*t^7.74)/y + t^7.82/y + t^7.89/y + (2*t^7.97)/y - t^8.61/y - t^8.69/y + t^8.77/y + (4*t^8.85)/y + (2*t^8.92)/y - t^4.18*y - t^6.4*y - t^6.48*y - t^6.71*y + t^7.51*y + 2*t^7.66*y + 2*t^7.74*y + t^7.82*y + t^7.89*y + 2*t^7.97*y - t^8.61*y - t^8.69*y + t^8.77*y + 4*t^8.85*y + 2*t^8.92*y | t^2.21/g1^24 + t^2.29/g1^14 + g1^6*t^2.45 + g1^16*t^2.52 + (2*t^3.55)/g1^6 + 2*g1^4*t^3.63 + g1^14*t^3.71 + t^4.43/g1^48 + t^4.51/g1^38 + t^4.58/g1^28 + t^4.66/g1^18 + (2*t^4.74)/g1^8 + 2*g1^2*t^4.82 + g1^12*t^4.89 + g1^22*t^4.97 + g1^32*t^5.05 + (2*t^5.77)/g1^30 + (3*t^5.85)/g1^20 + t^5.92/g1^10 + 2*g1^10*t^6.08 + 2*g1^20*t^6.15 + g1^30*t^6.23 + t^6.64/g1^72 + t^6.72/g1^62 + t^6.8/g1^52 + (2*t^6.88)/g1^42 + (2*t^6.95)/g1^32 + (2*t^7.03)/g1^22 + (3*t^7.11)/g1^12 + (2*t^7.18)/g1^2 + 3*g1^8*t^7.26 + 2*g1^18*t^7.34 + g1^28*t^7.42 + g1^38*t^7.49 + g1^48*t^7.57 + (2*t^7.98)/g1^54 + (3*t^8.06)/g1^44 + (2*t^8.14)/g1^34 + (2*t^8.37)/g1^4 - g1^16*t^8.52 + g1^26*t^8.6 + 2*g1^36*t^8.68 + g1^46*t^8.76 + t^8.86/g1^96 + t^8.94/g1^86 - t^4.18/(g1^2*y) - t^6.4/(g1^26*y) - t^6.48/(g1^16*y) - (g1^14*t^6.71)/y + t^7.51/(g1^38*y) + (2*t^7.66)/(g1^18*y) + (2*t^7.74)/(g1^8*y) + (g1^2*t^7.82)/y + (g1^12*t^7.89)/y + (2*g1^22*t^7.97)/y - t^8.61/(g1^50*y) - t^8.69/(g1^40*y) + t^8.77/(g1^30*y) + (4*t^8.85)/(g1^20*y) + (2*t^8.92)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.4*y)/g1^26 - (t^6.48*y)/g1^16 - g1^14*t^6.71*y + (t^7.51*y)/g1^38 + (2*t^7.66*y)/g1^18 + (2*t^7.74*y)/g1^8 + g1^2*t^7.82*y + g1^12*t^7.89*y + 2*g1^22*t^7.97*y - (t^8.61*y)/g1^50 - (t^8.69*y)/g1^40 + (t^8.77*y)/g1^30 + (4*t^8.85*y)/g1^20 + (2*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
2257 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_2M_7$ | 0.6146 | 0.7514 | 0.8179 | [X:[], M:[0.8102, 0.7761, 1.1898, 0.8273, 1.2068, 0.7591, 1.2239], q:[0.8017, 0.8017], qb:[0.3881, 0.4222], phi:[0.3966]] | t^2.28 + t^2.43 + t^2.48 + 2*t^3.57 + 2*t^3.62 + 2*t^3.67 + t^4.55 + t^4.71 + t^4.76 + t^4.81 + t^4.86 + t^4.91 + t^4.96 + 2*t^5.85 + t^5.9 - t^6. - t^4.19/y - t^4.19*y | detail | |
2258 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6514 | 0.8184 | 0.7959 | [X:[], M:[0.8197, 0.754, 1.1803, 0.8526, 1.2131, 0.7211, 0.754], q:[0.8033, 0.8033], qb:[0.377, 0.4427], phi:[0.3934]] | t^2.16 + 2*t^2.26 + t^2.46 + t^2.56 + 2*t^3.54 + 2*t^3.64 + t^4.33 + 2*t^4.43 + 3*t^4.52 + t^4.62 + 3*t^4.72 + 3*t^4.82 + t^4.92 + t^5.02 + t^5.12 + 2*t^5.7 + 5*t^5.8 + 2*t^5.9 - t^6. - t^4.18/y - t^4.18*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
741 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ | 0.6139 | 0.7503 | 0.8182 | [X:[], M:[0.8066, 0.7845, 1.1934, 0.8177, 1.2044], q:[0.8011, 0.8011], qb:[0.3923, 0.4144], phi:[0.3978]] | t^2.35 + t^2.42 + t^2.45 + 2*t^3.58 + 2*t^3.61 + t^3.65 + t^3.68 + t^4.71 + t^4.77 + 2*t^4.81 + t^4.84 + t^4.87 + t^4.91 + t^5.93 - t^4.19/y - t^4.19*y | detail |