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 |
---|---|---|---|---|---|---|---|---|---|
44961 | SO5adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ | 1.7737 | 1.8639 | 0.9516 | [X:[], M:[1.2783, 1.0826], q:[0.4587, 0.4587], qb:[], phi:[0.3609]] | [X:[], M:[[2, 2], [-3, -3]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1^2$, $ q_2^2$, $ M_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ q_1^4$, $ q_1^2q_2^2$, $ q_2^4$ | $\phi_1^3q_1q_2$ | -1 | 2*t^2.75 + t^3.25 + 2*t^3.54 + 2*t^3.83 + t^4.33 + 3*t^4.92 + 3*t^5.5 - t^6. + 4*t^6.29 + t^6.5 + 4*t^6.59 + 4*t^7.08 + 4*t^7.38 + t^7.58 + 8*t^7.67 + 2*t^7.87 + 2*t^8.17 + 4*t^8.26 + 4*t^8.46 + t^8.66 - t^4.08/y - (2*t^5.46)/y - t^6.25/y - (2*t^6.83)/y - t^7.33/y - (2*t^7.62)/y - t^7.92/y - (4*t^8.21)/y - t^8.41/y + t^8.5/y - t^4.08*y - 2*t^5.46*y - t^6.25*y - 2*t^6.83*y - t^7.33*y - 2*t^7.62*y - t^7.92*y - 4*t^8.21*y - t^8.41*y + t^8.5*y | g1^6*t^2.75 + g2^6*t^2.75 + t^3.25/(g1^3*g2^3) + (g1*t^3.54)/g2^2 + (g2*t^3.54)/g1^2 + 2*g1^2*g2^2*t^3.83 + t^4.33/(g1^4*g2^4) + (g1^4*t^4.92)/g2^2 + g1*g2*t^4.92 + (g2^4*t^4.92)/g1^2 + g1^12*t^5.5 + g1^6*g2^6*t^5.5 + g2^12*t^5.5 - t^6. + (g1^7*t^6.29)/g2^2 + g1^4*g2*t^6.29 + g1*g2^4*t^6.29 + (g2^7*t^6.29)/g1^2 + t^6.5/(g1^6*g2^6) + 2*g1^8*g2^2*t^6.59 + 2*g1^2*g2^8*t^6.59 + (g1^2*t^7.08)/g2^4 + (2*t^7.08)/(g1*g2) + (g2^2*t^7.08)/g1^4 + 2*g1^3*t^7.38 + 2*g2^3*t^7.38 + t^7.58/(g1^7*g2^7) + (g1^10*t^7.67)/g2^2 + g1^7*g2*t^7.67 + 4*g1^4*g2^4*t^7.67 + g1*g2^7*t^7.67 + (g2^10*t^7.67)/g1^2 + t^7.87/(g1^3*g2^6) + t^7.87/(g1^6*g2^3) + (2*t^8.17)/(g1^2*g2^2) + g1^18*t^8.26 + g1^12*g2^6*t^8.26 + g1^6*g2^12*t^8.26 + g2^18*t^8.26 + (g1^5*t^8.46)/g2^4 + (g1^2*t^8.46)/g2 + (g2^2*t^8.46)/g1 + (g2^5*t^8.46)/g1^4 + t^8.66/(g1^8*g2^8) - t^4.08/(g1*g2*y) - (g1^2*t^5.46)/(g2*y) - (g2^2*t^5.46)/(g1*y) - t^6.25/(g1^3*g2^3*y) - (g1^5*t^6.83)/(g2*y) - (g2^5*t^6.83)/(g1*y) - t^7.33/(g1^4*g2^4*y) - t^7.62/(g1^3*y) - t^7.62/(g2^3*y) - (g1*g2*t^7.92)/y - (g1^8*t^8.21)/(g2*y) - (g1^5*g2^2*t^8.21)/y - (g1^2*g2^5*t^8.21)/y - (g2^8*t^8.21)/(g1*y) - t^8.41/(g1^5*g2^5*y) + (g1^6*g2^6*t^8.5)/y - (t^4.08*y)/(g1*g2) - (g1^2*t^5.46*y)/g2 - (g2^2*t^5.46*y)/g1 - (t^6.25*y)/(g1^3*g2^3) - (g1^5*t^6.83*y)/g2 - (g2^5*t^6.83*y)/g1 - (t^7.33*y)/(g1^4*g2^4) - (t^7.62*y)/g1^3 - (t^7.62*y)/g2^3 - g1*g2*t^7.92*y - (g1^8*t^8.21*y)/g2 - g1^5*g2^2*t^8.21*y - g1^2*g2^5*t^8.21*y - (g2^8*t^8.21*y)/g1 - (t^8.41*y)/(g1^5*g2^5) + g1^6*g2^6*t^8.5*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 |
---|---|---|---|---|---|---|---|---|
44995 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_1$ | 1.7892 | 1.8914 | 0.9459 | [X:[], M:[1.2761, 1.0859, 0.812], q:[0.464, 0.4501], qb:[], phi:[0.362]] | t^2.44 + t^2.7 + t^2.78 + t^3.26 + t^3.52 + 2*t^3.83 + t^4.34 + 2*t^4.87 + t^4.91 + t^4.96 + t^5.14 + t^5.22 + t^5.4 + t^5.48 + t^5.57 + t^5.69 + t^5.96 - t^6. - t^4.09/y - t^5.44/y - t^5.48/y - t^4.09*y - t^5.44*y - t^5.48*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 |
---|---|---|---|---|---|---|---|---|---|
44919 | SO5adj1nf2 | $M_1\phi_1^2$ | 1.7824 | 1.8817 | 0.9472 | [X:[], M:[1.2605], q:[0.4454, 0.4454], qb:[], phi:[0.3698]] | 3*t^2.67 + 2*t^3.55 + 2*t^3.78 + t^4.44 + 3*t^4.89 + 6*t^5.34 - 3*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y | detail |