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 |
---|---|---|---|---|---|---|---|---|---|
2753 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6169 | 0.8012 | 0.7699 | [X:[], M:[0.95, 1.15, 0.725, 0.85], q:[0.7375, 0.3125], qb:[0.4375, 0.4125], phi:[0.525]] | [X:[], M:[[-4], [12], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | 0 | 2*t^2.18 + t^2.25 + t^2.55 + t^2.85 + t^3.15 + 2*t^3.45 + t^3.52 + t^3.75 + t^4.05 + t^4.12 + t^4.2 + 3*t^4.35 + 2*t^4.42 + t^4.5 + 2*t^4.73 + t^4.8 + 2*t^5.03 + 2*t^5.1 + 2*t^5.33 + 2*t^5.4 + 3*t^5.63 + 4*t^5.7 + t^5.77 + t^5.93 + 2*t^6.23 + 3*t^6.3 + 2*t^6.37 + t^6.45 + 4*t^6.53 + 5*t^6.6 + 2*t^6.67 + 2*t^6.75 + 5*t^6.9 + 2*t^6.97 + 2*t^7.05 + 4*t^7.2 + 2*t^7.27 + 2*t^7.35 + 4*t^7.5 + 2*t^7.58 + 3*t^7.65 + t^7.72 + 5*t^7.8 + 4*t^7.88 + 3*t^7.95 + t^8.02 + 2*t^8.1 - t^8.18 + t^8.25 + t^8.32 + 4*t^8.4 + 3*t^8.48 + 2*t^8.55 + 2*t^8.62 + 6*t^8.7 + 6*t^8.78 + t^8.85 + 2*t^8.92 - t^4.58/y - t^6.75/y + t^7.35/y + (2*t^7.42)/y + (2*t^7.73)/y + t^7.8/y + (2*t^8.03)/y + t^8.1/y + (2*t^8.33)/y + (3*t^8.4)/y + (4*t^8.63)/y + (5*t^8.7)/y + t^8.77/y + t^8.93/y - t^4.58*y - t^6.75*y + t^7.35*y + 2*t^7.42*y + 2*t^7.73*y + t^7.8*y + 2*t^8.03*y + t^8.1*y + 2*t^8.33*y + 3*t^8.4*y + 4*t^8.63*y + 5*t^8.7*y + t^8.77*y + t^8.93*y | 2*g1^18*t^2.18 + t^2.25/g1^20 + t^2.55/g1^12 + t^2.85/g1^4 + g1^4*t^3.15 + 2*g1^12*t^3.45 + t^3.52/g1^26 + g1^20*t^3.75 + g1^28*t^4.05 + t^4.12/g1^10 + t^4.2/g1^48 + 3*g1^36*t^4.35 + (2*t^4.42)/g1^2 + t^4.5/g1^40 + 2*g1^6*t^4.73 + t^4.8/g1^32 + 2*g1^14*t^5.03 + (2*t^5.1)/g1^24 + 2*g1^22*t^5.33 + (2*t^5.4)/g1^16 + 3*g1^30*t^5.63 + (4*t^5.7)/g1^8 + t^5.77/g1^46 + g1^38*t^5.93 + 2*g1^46*t^6.23 + 3*g1^8*t^6.3 + (2*t^6.37)/g1^30 + t^6.45/g1^68 + 4*g1^54*t^6.53 + 5*g1^16*t^6.6 + (2*t^6.67)/g1^22 + (2*t^6.75)/g1^60 + 5*g1^24*t^6.9 + (2*t^6.97)/g1^14 + (2*t^7.05)/g1^52 + 4*g1^32*t^7.2 + (2*t^7.27)/g1^6 + (2*t^7.35)/g1^44 + 4*g1^40*t^7.5 + 2*g1^2*t^7.58 + (3*t^7.65)/g1^36 + t^7.72/g1^74 + 5*g1^48*t^7.8 + 4*g1^10*t^7.88 + (3*t^7.95)/g1^28 + t^8.02/g1^66 + 2*g1^56*t^8.1 - g1^18*t^8.18 + t^8.25/g1^20 + t^8.32/g1^58 + t^8.4/g1^96 + 3*g1^64*t^8.4 + 3*g1^26*t^8.48 + (2*t^8.55)/g1^12 + (2*t^8.62)/g1^50 + t^8.7/g1^88 + 5*g1^72*t^8.7 + 6*g1^34*t^8.78 + t^8.85/g1^4 + (2*t^8.92)/g1^42 - (g1^2*t^4.58)/y - (g1^20*t^6.75)/y + (g1^36*t^7.35)/y + (2*t^7.42)/(g1^2*y) + (2*g1^6*t^7.73)/y + t^7.8/(g1^32*y) + (2*g1^14*t^8.03)/y + t^8.1/(g1^24*y) + (2*g1^22*t^8.33)/y + (3*t^8.4)/(g1^16*y) + (4*g1^30*t^8.63)/y + (5*t^8.7)/(g1^8*y) + t^8.77/(g1^46*y) + (g1^38*t^8.93)/y - g1^2*t^4.58*y - g1^20*t^6.75*y + g1^36*t^7.35*y + (2*t^7.42*y)/g1^2 + 2*g1^6*t^7.73*y + (t^7.8*y)/g1^32 + 2*g1^14*t^8.03*y + (t^8.1*y)/g1^24 + 2*g1^22*t^8.33*y + (3*t^8.4*y)/g1^16 + 4*g1^30*t^8.63*y + (5*t^8.7*y)/g1^8 + (t^8.77*y)/g1^46 + g1^38*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 |
---|---|---|---|---|---|---|---|---|
3266 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_5$ | 0.604 | 0.7795 | 0.7748 | [X:[], M:[0.9521, 1.1437, 0.7155, 0.8563, 1.1437], q:[0.738, 0.3099], qb:[0.4507, 0.4056], phi:[0.5239]] | 2*t^2.15 + t^2.28 + t^2.86 + t^3.14 + 3*t^3.43 + t^3.57 + t^3.72 + t^4.01 + t^4.14 + t^4.28 + 3*t^4.29 + 2*t^4.43 + t^4.56 + 2*t^5. + t^5.14 + 2*t^5.29 + t^5.43 + 5*t^5.58 + 4*t^5.71 + t^5.85 + t^5.86 - 2*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
1748 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6255 | 0.812 | 0.7703 | [X:[], M:[0.9851, 1.0448, 0.749, 0.7734], q:[0.7463, 0.2687], qb:[0.4748, 0.4804], phi:[0.5075]] | t^2.23 + 2*t^2.25 + t^2.32 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.66 + t^3.77 + t^4.37 + t^4.39 + t^4.4 + t^4.46 + 2*t^4.48 + 3*t^4.49 + t^4.55 + 2*t^4.57 + t^4.64 + t^5.19 + 2*t^5.2 + 2*t^5.28 + 2*t^5.29 + 2*t^5.36 + 3*t^5.38 + 2*t^5.45 + t^5.89 + 2*t^5.91 - 2*t^6. - t^4.52/y - t^4.52*y | detail |