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 |
---|---|---|---|---|---|---|---|---|---|
46764 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6318 | 0.8193 | 0.7712 | [X:[], M:[1.0, 0.8927, 0.7098, 0.7634], q:[0.7634, 0.2366], qb:[0.5268, 0.5805], phi:[0.4732]] | [X:[], M:[[0], [-8], [-3], [1]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$ | . | -2 | t^2.13 + 2*t^2.29 + t^2.45 + t^2.68 + 2*t^2.84 + t^3. + t^3.87 + t^4.03 + t^4.26 + 2*t^4.42 + 5*t^4.58 + 3*t^4.74 + t^4.81 + 2*t^4.9 + 3*t^4.97 + 5*t^5.13 + 4*t^5.29 + t^5.36 + t^5.45 + 2*t^5.52 + 4*t^5.68 - 2*t^6. + t^6.16 + 2*t^6.32 + t^6.48 + t^6.55 + 5*t^6.71 + 8*t^6.87 + t^6.94 + 6*t^7.03 + 3*t^7.1 + 4*t^7.19 + 6*t^7.26 + 2*t^7.35 + 9*t^7.42 + t^7.49 + 7*t^7.58 + 3*t^7.65 + 4*t^7.74 + 6*t^7.81 + t^7.9 + 7*t^7.97 + t^8.03 + t^8.13 + 2*t^8.2 - 6*t^8.29 + 4*t^8.36 - 4*t^8.45 + 5*t^8.52 + t^8.61 - 3*t^8.68 + 3*t^8.77 - 5*t^8.84 + 2*t^8.93 - t^4.42/y - t^6.55/y - t^6.71/y - t^7.1/y - t^7.26/y + (2*t^7.42)/y + (3*t^7.58)/y + (3*t^7.74)/y + t^7.81/y + (4*t^7.97)/y + (7*t^8.13)/y + (5*t^8.29)/y + t^8.45/y + (2*t^8.52)/y + t^8.68/y + t^8.84/y - t^4.42*y - t^6.55*y - t^6.71*y - t^7.1*y - t^7.26*y + 2*t^7.42*y + 3*t^7.58*y + 3*t^7.74*y + t^7.81*y + 4*t^7.97*y + 7*t^8.13*y + 5*t^8.29*y + t^8.45*y + 2*t^8.52*y + t^8.68*y + t^8.84*y | t^2.13/g1^3 + 2*g1*t^2.29 + g1^5*t^2.45 + t^2.68/g1^8 + (2*t^2.84)/g1^4 + t^3. + g1^3*t^3.87 + g1^7*t^4.03 + t^4.26/g1^6 + (2*t^4.42)/g1^2 + 5*g1^2*t^4.58 + 3*g1^6*t^4.74 + t^4.81/g1^11 + 2*g1^10*t^4.9 + (3*t^4.97)/g1^7 + (5*t^5.13)/g1^3 + 4*g1*t^5.29 + t^5.36/g1^16 + g1^5*t^5.45 + (2*t^5.52)/g1^12 + (4*t^5.68)/g1^8 - 2*t^6. + g1^4*t^6.16 + 2*g1^8*t^6.32 + g1^12*t^6.48 + t^6.55/g1^5 + (5*t^6.71)/g1 + 8*g1^3*t^6.87 + t^6.94/g1^14 + 6*g1^7*t^7.03 + (3*t^7.1)/g1^10 + 4*g1^11*t^7.19 + (6*t^7.26)/g1^6 + 2*g1^15*t^7.35 + (9*t^7.42)/g1^2 + t^7.49/g1^19 + 7*g1^2*t^7.58 + (3*t^7.65)/g1^15 + 4*g1^6*t^7.74 + (6*t^7.81)/g1^11 + g1^10*t^7.9 + (7*t^7.97)/g1^7 + t^8.03/g1^24 + t^8.13/g1^3 + (2*t^8.2)/g1^20 - 6*g1*t^8.29 + (4*t^8.36)/g1^16 - 4*g1^5*t^8.45 + (5*t^8.52)/g1^12 + g1^9*t^8.61 - (3*t^8.68)/g1^8 + 3*g1^13*t^8.77 - (5*t^8.84)/g1^4 + 2*g1^17*t^8.93 - t^4.42/(g1^2*y) - t^6.55/(g1^5*y) - t^6.71/(g1*y) - t^7.1/(g1^10*y) - t^7.26/(g1^6*y) + (2*t^7.42)/(g1^2*y) + (3*g1^2*t^7.58)/y + (3*g1^6*t^7.74)/y + t^7.81/(g1^11*y) + (4*t^7.97)/(g1^7*y) + (7*t^8.13)/(g1^3*y) + (5*g1*t^8.29)/y + (g1^5*t^8.45)/y + (2*t^8.52)/(g1^12*y) + t^8.68/(g1^8*y) + t^8.84/(g1^4*y) - (t^4.42*y)/g1^2 - (t^6.55*y)/g1^5 - (t^6.71*y)/g1 - (t^7.1*y)/g1^10 - (t^7.26*y)/g1^6 + (2*t^7.42*y)/g1^2 + 3*g1^2*t^7.58*y + 3*g1^6*t^7.74*y + (t^7.81*y)/g1^11 + (4*t^7.97*y)/g1^7 + (7*t^8.13*y)/g1^3 + 5*g1*t^8.29*y + g1^5*t^8.45*y + (2*t^8.52*y)/g1^12 + (t^8.68*y)/g1^8 + (t^8.84*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
46822 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_5$ | 0.625 | 0.8101 | 0.7716 | [X:[], M:[1.0, 0.9607, 0.7353, 0.7549, 1.0393], q:[0.7549, 0.2451], qb:[0.5098, 0.5294], phi:[0.4902]] | t^2.21 + 2*t^2.26 + t^2.32 + 2*t^2.94 + t^3. + t^3.12 + t^3.79 + t^3.85 + t^4.41 + 2*t^4.47 + 5*t^4.53 + 3*t^4.59 + 2*t^4.65 + t^5.15 + 4*t^5.21 + 4*t^5.26 + 2*t^5.32 + 2*t^5.38 + t^5.44 + 3*t^5.88 - 2*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
46332 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.6134 | 0.7861 | 0.7803 | [X:[], M:[1.0, 0.8885, 0.7082], q:[0.7639, 0.2361], qb:[0.5279, 0.5837], phi:[0.4721]] | t^2.12 + t^2.29 + t^2.46 + t^2.67 + 2*t^2.83 + t^3. + t^3.71 + t^3.88 + t^4.04 + t^4.25 + t^4.42 + 3*t^4.58 + 2*t^4.75 + t^4.79 + 2*t^4.92 + 2*t^4.96 + 3*t^5.12 + 3*t^5.29 + t^5.33 + t^5.46 + 2*t^5.5 + 4*t^5.67 + t^5.83 - t^6. - t^4.42/y - t^4.42*y | detail |