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 |
---|---|---|---|---|---|---|---|---|---|
3221 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3M_4$ | 0.5931 | 0.7477 | 0.7932 | [X:[], M:[1.0, 0.8948, 0.7105, 1.2895], q:[0.7632, 0.2368], qb:[0.5263, 0.5789], phi:[0.4737]] | [X:[], M:[[0], [-8], [-3], [3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \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$ | $\phi_1q_2^2\tilde{q}_1^2$ | -2 | t^2.29 + t^2.45 + t^2.68 + 2*t^2.84 + t^3. + t^3.71 + 2*t^3.87 + t^4.03 + 2*t^4.58 + 2*t^4.74 + 2*t^4.89 + 2*t^5.13 + 3*t^5.29 + t^5.37 + t^5.45 + 2*t^5.53 + 4*t^5.68 - 2*t^6. + t^6.16 + 2*t^6.32 + t^6.47 + 2*t^6.55 + 3*t^6.71 + 2*t^6.87 + t^7.03 + 2*t^7.18 + 2*t^7.34 + 2*t^7.42 + 4*t^7.58 + 6*t^7.74 + 2*t^7.89 + 3*t^7.97 + t^8.05 + 3*t^8.13 + 2*t^8.21 - 2*t^8.29 + 4*t^8.37 - 2*t^8.45 + 5*t^8.53 + 2*t^8.61 - 3*t^8.68 + 4*t^8.76 - 7*t^8.84 + 2*t^8.92 - t^4.42/y - t^7.11/y - t^7.26/y + t^7.58/y + (2*t^7.74)/y + t^7.97/y + (3*t^8.13)/y + (3*t^8.29)/y + t^8.45/y + (2*t^8.53)/y + (2*t^8.68)/y + (2*t^8.84)/y - t^4.42*y - t^7.11*y - t^7.26*y + t^7.58*y + 2*t^7.74*y + t^7.97*y + 3*t^8.13*y + 3*t^8.29*y + t^8.45*y + 2*t^8.53*y + 2*t^8.68*y + 2*t^8.84*y | g1*t^2.29 + g1^5*t^2.45 + t^2.68/g1^8 + (2*t^2.84)/g1^4 + t^3. + t^3.71/g1 + 2*g1^3*t^3.87 + g1^7*t^4.03 + 2*g1^2*t^4.58 + 2*g1^6*t^4.74 + 2*g1^10*t^4.89 + (2*t^5.13)/g1^3 + 3*g1*t^5.29 + t^5.37/g1^16 + g1^5*t^5.45 + (2*t^5.53)/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^6.47 + (2*t^6.55)/g1^5 + (3*t^6.71)/g1 + 2*g1^3*t^6.87 + g1^7*t^7.03 + 2*g1^11*t^7.18 + 2*g1^15*t^7.34 + (2*t^7.42)/g1^2 + 4*g1^2*t^7.58 + 6*g1^6*t^7.74 + 2*g1^10*t^7.89 + (3*t^7.97)/g1^7 + t^8.05/g1^24 + (3*t^8.13)/g1^3 + (2*t^8.21)/g1^20 - 2*g1*t^8.29 + (4*t^8.37)/g1^16 - 2*g1^5*t^8.45 + (5*t^8.53)/g1^12 + 2*g1^9*t^8.61 - (3*t^8.68)/g1^8 + 4*g1^13*t^8.76 - (7*t^8.84)/g1^4 + 2*g1^17*t^8.92 - t^4.42/(g1^2*y) - t^7.11/(g1^10*y) - t^7.26/(g1^6*y) + (g1^2*t^7.58)/y + (2*g1^6*t^7.74)/y + t^7.97/(g1^7*y) + (3*t^8.13)/(g1^3*y) + (3*g1*t^8.29)/y + (g1^5*t^8.45)/y + (2*t^8.53)/(g1^12*y) + (2*t^8.68)/(g1^8*y) + (2*t^8.84)/(g1^4*y) - (t^4.42*y)/g1^2 - (t^7.11*y)/g1^10 - (t^7.26*y)/g1^6 + g1^2*t^7.58*y + 2*g1^6*t^7.74*y + (t^7.97*y)/g1^7 + (3*t^8.13*y)/g1^3 + 3*g1*t^8.29*y + g1^5*t^8.45*y + (2*t^8.53*y)/g1^12 + (2*t^8.68*y)/g1^8 + (2*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 |
---|---|---|---|---|---|---|---|---|
3639 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6115 | 0.781 | 0.783 | [X:[], M:[1.0, 0.8992, 0.7122, 1.2878, 0.7626], q:[0.7626, 0.2374], qb:[0.5252, 0.5756], phi:[0.4748]] | 2*t^2.29 + t^2.44 + t^2.7 + 2*t^2.85 + t^3. + 2*t^3.86 + t^4.01 + 4*t^4.58 + 3*t^4.73 + 2*t^4.88 + t^4.99 + 4*t^5.14 + 4*t^5.29 + t^5.4 + t^5.44 + 2*t^5.55 + 4*t^5.7 - 3*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
2714 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ 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 |