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 |
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57896 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4103 | 1.6303 | 0.865 | [X:[], M:[0.8959, 1.264], q:[0.3474, 0.5555], qb:[0.3887, 0.5003], phi:[0.368]] | [X:[], M:[[-3, 3], [-2, 2]], q:[[-14, -2], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | ${}M_{2}q_{1}\tilde{q}_{1}$ | -1 | t^2.21 + t^2.54 + t^2.69 + t^2.83 + t^3.17 + t^3.31 + t^3.65 + t^3.79 + t^3.94 + t^4.27 + 2*t^4.42 + 2*t^4.75 + t^4.85 + t^4.9 + t^4.94 + 2*t^5.04 + t^5.09 + t^5.23 + t^5.27 + 3*t^5.38 + t^5.48 + 2*t^5.52 + t^5.71 + 3*t^5.86 + t^5.96 - t^6. + t^6.04 + 2*t^6.14 + t^6.19 + 2*t^6.33 + t^6.38 + t^6.44 + 4*t^6.48 + t^6.58 + 4*t^6.62 + 3*t^6.81 + 6*t^6.96 - t^7. + 2*t^7.06 + t^7.1 + 2*t^7.15 - t^7.21 + 4*t^7.25 + 3*t^7.29 + t^7.4 + 2*t^7.44 + 3*t^7.48 + 7*t^7.58 + t^7.63 + 2*t^7.69 + 3*t^7.73 + t^7.77 + 2*t^7.81 + t^7.87 + 5*t^7.92 + t^7.96 + t^8.02 + 7*t^8.06 + 3*t^8.17 + 3*t^8.25 + 4*t^8.35 - t^8.39 + 4*t^8.4 + 2*t^8.5 + t^8.54 + 3*t^8.58 + t^8.65 + 5*t^8.69 + 2*t^8.79 + 2*t^8.83 + t^8.87 + 2*t^8.88 + 2*t^8.92 - t^8.94 + 2*t^8.98 - t^4.1/y - t^5.21/y - t^6.31/y - t^6.65/y - t^6.79/y - t^6.94/y - t^7.27/y - t^7.42/y + t^8.23/y + t^8.38/y + t^8.71/y + t^8.86/y - t^4.1*y - t^5.21*y - t^6.31*y - t^6.65*y - t^6.79*y - t^6.94*y - t^7.27*y - t^7.42*y + t^8.23*y + t^8.38*y + t^8.71*y + t^8.86*y | (g1^2*t^2.21)/g2^2 + (g2^14*t^2.54)/g1^14 + (g2^3*t^2.69)/g1^3 + (g1^8*t^2.83)/g2^8 + (g2^8*t^3.17)/g1^8 + (g1^3*t^3.31)/g2^3 + (g2^13*t^3.65)/g1^13 + (g2^2*t^3.79)/g1^2 + (g1^9*t^3.94)/g2^9 + (g2^7*t^4.27)/g1^7 + (2*g1^4*t^4.42)/g2^4 + (2*g2^12*t^4.75)/g1^12 + t^4.85/(g1^35*g2^13) + (g2*t^4.9)/g1 + g1^33*g2^15*t^4.94 + (2*g1^10*t^5.04)/g2^10 + (g2^28*t^5.09)/g1^28 + (g2^17*t^5.23)/g1^17 + g1^17*g2^31*t^5.27 + (3*g2^6*t^5.38)/g1^6 + t^5.48/(g1^29*g2^19) + (2*g1^5*t^5.52)/g2^5 + (g2^22*t^5.71)/g1^22 + (3*g2^11*t^5.86)/g1^11 + t^5.96/(g1^34*g2^14) - t^6. + g1^34*g2^14*t^6.04 + (2*g1^11*t^6.14)/g2^11 + (g2^27*t^6.19)/g1^27 + (2*g2^16*t^6.33)/g1^16 + g1^18*g2^30*t^6.38 + t^6.44/(g1^39*g2^9) + (4*g2^5*t^6.48)/g1^5 + t^6.58/(g1^28*g2^20) + (4*g1^6*t^6.62)/g2^6 + (g1^51*t^6.81)/g2^3 + (2*g2^21*t^6.81)/g1^21 + (6*g2^10*t^6.96)/g1^10 - g1^24*g2^24*t^7. + (2*t^7.06)/(g1^33*g2^15) + (g1*t^7.1)/g2 + 2*g1^35*g2^13*t^7.15 - t^7.21/(g1^22*g2^26) + (4*g1^12*t^7.25)/g2^12 + (3*g2^26*t^7.29)/g1^26 + (g2*t^7.4)/g1^49 + (2*g2^15*t^7.44)/g1^15 + 3*g1^19*g2^29*t^7.48 + (7*g2^4*t^7.58)/g1^4 + (g2^42*t^7.63)/g1^42 + (2*t^7.69)/(g1^27*g2^21) + (3*g1^7*t^7.73)/g2^7 + (g2^31*t^7.77)/g1^31 + 2*g1^3*g2^45*t^7.81 + (g1^18*t^7.87)/g2^18 + (5*g2^20*t^7.92)/g1^20 + g1^14*g2^34*t^7.96 + t^8.02/(g1^43*g2^5) + (7*g2^9*t^8.06)/g1^9 + (3*t^8.17)/(g1^32*g2^16) + 2*g1^36*g2^12*t^8.25 + (g2^36*t^8.25)/g1^36 + (4*g1^13*t^8.35)/g2^13 - g1^47*g2*t^8.39 + (4*g2^25*t^8.4)/g1^25 + (2*t^8.5)/g1^48 + (g2^14*t^8.54)/g1^14 + 3*g1^20*g2^28*t^8.58 + t^8.65/(g1^37*g2^11) + (5*g2^3*t^8.69)/g1^3 - g1^31*g2^17*t^8.73 + (g2^41*t^8.73)/g1^41 + (2*t^8.79)/(g1^26*g2^22) + (2*g1^8*t^8.83)/g2^8 + g1^42*g2^6*t^8.87 + (2*g2^30*t^8.88)/g1^30 + 2*g1^4*g2^44*t^8.92 - t^8.94/(g1^15*g2^33) + (g1^19*t^8.98)/g2^19 + (g2^5*t^8.98)/g1^53 - (g1*t^4.1)/(g2*y) - (g1^2*t^5.21)/(g2^2*y) - (g1^3*t^6.31)/(g2^3*y) - (g2^13*t^6.65)/(g1^13*y) - (g2^2*t^6.79)/(g1^2*y) - (g1^9*t^6.94)/(g2^9*y) - (g2^7*t^7.27)/(g1^7*y) - (g1^4*t^7.42)/(g2^4*y) + (g2^17*t^8.23)/(g1^17*y) + (g2^6*t^8.38)/(g1^6*y) + (g2^22*t^8.71)/(g1^22*y) + (g2^11*t^8.86)/(g1^11*y) - (g1*t^4.1*y)/g2 - (g1^2*t^5.21*y)/g2^2 - (g1^3*t^6.31*y)/g2^3 - (g2^13*t^6.65*y)/g1^13 - (g2^2*t^6.79*y)/g1^2 - (g1^9*t^6.94*y)/g2^9 - (g2^7*t^7.27*y)/g1^7 - (g1^4*t^7.42*y)/g2^4 + (g2^17*t^8.23*y)/g1^17 + (g2^6*t^8.38*y)/g1^6 + (g2^22*t^8.71*y)/g1^22 + (g2^11*t^8.86*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
61089 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3917 | 1.6123 | 0.8632 | [X:[], M:[0.8941, 1.2628], q:[0.4027, 0.6144], qb:[0.3346, 0.4367], phi:[0.3686]] | t^2.21 + t^2.52 + t^2.68 + t^2.85 + t^3.15 + t^3.32 + t^3.62 + t^3.79 + t^3.95 + t^4.26 + 3*t^4.42 + 3*t^4.73 + t^4.89 + t^5.04 + 2*t^5.06 + t^5.2 + 4*t^5.36 + 3*t^5.53 + t^5.67 + 4*t^5.84 - t^4.11/y - t^5.21/y - t^4.11*y - t^5.21*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 |
---|---|---|---|---|---|---|---|---|---|
57292 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.4741 | 1.6832 | 0.8758 | [M:[0.6739, 1.3301], q:[0.4928, 0.5024], qb:[0.4984, 0.4968], phi:[0.3349]] | t^2.022 + t^2.969 + t^2.974 + t^2.998 + t^3.002 + t^3.014 + t^3.974 + t^3.99 + t^4.002 + t^4.007 + t^4.043 + t^4.978 + t^4.983 + t^4.99 + t^4.995 + t^5.007 + t^5.012 + t^5.019 + t^5.024 + t^5.036 + t^5.469 + t^5.481 + t^5.485 + t^5.498 + t^5.938 + t^5.942 + t^5.947 + t^5.967 + t^5.971 + t^5.976 + t^5.983 + t^5.988 + t^5.995 - 3*t^6. - t^4.005/y - t^5.01/y - t^4.005*y - t^5.01*y | detail |