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 |
---|---|---|---|---|---|---|---|---|---|
47132 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6488 | 0.8116 | 0.7994 | [X:[], M:[0.8156, 0.7636, 1.1844, 0.7636, 0.8416], q:[0.8026, 0.3818], qb:[0.4338, 0.8026], phi:[0.3948]] | [X:[], M:[[6], [-14], [-6], [-14], [16]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_1M_4$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_2M_5$, $ M_4M_5$, $ M_1\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ M_5^2$, $ M_2M_3$, $ M_3M_4$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | 2*t^2.29 + t^2.37 + t^2.45 + t^2.52 + 2*t^3.55 + t^3.63 + t^3.79 + 3*t^4.58 + 2*t^4.66 + 3*t^4.74 + 4*t^4.82 + 2*t^4.89 + t^4.97 + t^5.05 + 3*t^5.84 + 2*t^5.92 + 3*t^6.08 + t^6.16 + t^6.23 + t^6.31 + 4*t^6.87 + 3*t^6.95 + 4*t^7.03 + 8*t^7.11 + 4*t^7.18 + t^7.26 + 4*t^7.34 + 2*t^7.42 + t^7.5 + 2*t^7.57 + 4*t^8.13 + 2*t^8.21 - 2*t^8.29 + 3*t^8.37 - t^8.45 - t^8.52 + 3*t^8.6 + 2*t^8.68 + t^8.76 + t^8.84 - t^4.18/y - (2*t^6.48)/y - t^6.55/y - t^6.71/y + t^7.58/y + (3*t^7.66)/y + (2*t^7.74)/y + (4*t^7.82)/y + (3*t^7.89)/y + t^7.97/y - (3*t^8.77)/y + (2*t^8.84)/y + (3*t^8.92)/y - t^4.18*y - 2*t^6.48*y - t^6.55*y - t^6.71*y + t^7.58*y + 3*t^7.66*y + 2*t^7.74*y + 4*t^7.82*y + 3*t^7.89*y + t^7.97*y - 3*t^8.77*y + 2*t^8.84*y + 3*t^8.92*y | (2*t^2.29)/g1^14 + t^2.37/g1^4 + g1^6*t^2.45 + g1^16*t^2.52 + (2*t^3.55)/g1^6 + g1^4*t^3.63 + g1^24*t^3.79 + (3*t^4.58)/g1^28 + (2*t^4.66)/g1^18 + (3*t^4.74)/g1^8 + 4*g1^2*t^4.82 + 2*g1^12*t^4.89 + g1^22*t^4.97 + g1^32*t^5.05 + (3*t^5.84)/g1^20 + (2*t^5.92)/g1^10 + 3*g1^10*t^6.08 + g1^20*t^6.16 + g1^30*t^6.23 + g1^40*t^6.31 + (4*t^6.87)/g1^42 + (3*t^6.95)/g1^32 + (4*t^7.03)/g1^22 + (8*t^7.11)/g1^12 + (4*t^7.18)/g1^2 + g1^8*t^7.26 + 4*g1^18*t^7.34 + 2*g1^28*t^7.42 + g1^38*t^7.5 + 2*g1^48*t^7.57 + (4*t^8.13)/g1^34 + (2*t^8.21)/g1^24 - (2*t^8.29)/g1^14 + (3*t^8.37)/g1^4 - g1^6*t^8.45 - g1^16*t^8.52 + 3*g1^26*t^8.6 + 2*g1^36*t^8.68 + g1^46*t^8.76 + g1^56*t^8.84 - t^4.18/(g1^2*y) - (2*t^6.48)/(g1^16*y) - t^6.55/(g1^6*y) - (g1^14*t^6.71)/y + t^7.58/(g1^28*y) + (3*t^7.66)/(g1^18*y) + (2*t^7.74)/(g1^8*y) + (4*g1^2*t^7.82)/y + (3*g1^12*t^7.89)/y + (g1^22*t^7.97)/y - (3*t^8.77)/(g1^30*y) + (2*t^8.84)/(g1^20*y) + (3*t^8.92)/(g1^10*y) - (t^4.18*y)/g1^2 - (2*t^6.48*y)/g1^16 - (t^6.55*y)/g1^6 - g1^14*t^6.71*y + (t^7.58*y)/g1^28 + (3*t^7.66*y)/g1^18 + (2*t^7.74*y)/g1^8 + 4*g1^2*t^7.82*y + 3*g1^12*t^7.89*y + g1^22*t^7.97*y - (3*t^8.77*y)/g1^30 + (2*t^8.84*y)/g1^20 + (3*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 |
---|---|---|---|---|---|---|---|---|
55534 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6687 | 0.8494 | 0.7872 | [X:[], M:[0.8211, 0.7507, 1.1789, 0.7507, 0.8564, 0.7154], q:[0.8035, 0.3753], qb:[0.4458, 0.8035], phi:[0.393]] | t^2.15 + 2*t^2.25 + t^2.36 + t^2.46 + t^2.57 + 2*t^3.54 + t^3.64 + t^4.29 + 2*t^4.4 + 4*t^4.5 + 3*t^4.61 + 4*t^4.72 + 4*t^4.82 + 2*t^4.93 + t^5.03 + t^5.14 + 2*t^5.68 + 4*t^5.79 + 2*t^5.89 - 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 |
---|---|---|---|---|---|---|---|---|---|
46466 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.6362 | 0.7913 | 0.804 | [X:[], M:[0.8273, 0.7364, 1.1727, 0.7364], q:[0.8045, 0.3682], qb:[0.4591, 0.8045], phi:[0.3909]] | 2*t^2.21 + t^2.35 + t^2.48 + t^3.38 + 2*t^3.52 + t^3.65 + t^3.93 + 3*t^4.42 + 2*t^4.55 + 3*t^4.69 + 2*t^4.83 + t^4.96 + 2*t^5.59 + 4*t^5.73 + 3*t^5.86 - t^4.17/y - t^4.17*y | detail |