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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61010 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 1.4084 | 1.5975 | 0.8816 | [X:[1.3818], M:[0.7889, 0.7567, 1.0727, 1.0658], q:[0.5075, 0.5397], qb:[0.7036, 0.3945], phi:[0.3091]] | [X:[[0, 0, 2]], M:[[1, 1, -6], [-1, -1, 1], [0, 0, 3], [-1, -1, 0]], q:[[-1, -2, 7], [1, 0, 0]], qb:[[0, 1, -1], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.27 + t^2.37 + t^2.71 + t^3.2 + t^3.22 + t^3.63 + t^3.73 + t^4.15 + t^4.54 + 2*t^4.56 + t^4.64 + 2*t^4.66 + t^4.73 + t^4.98 + 2*t^5.41 + t^5.47 + 2*t^5.49 + t^5.56 + 2*t^5.58 + t^5.59 + t^5.69 + t^5.9 + t^5.92 - 3*t^6. + 3*t^6.33 + t^6.34 + t^6.39 + 2*t^6.42 + 2*t^6.44 + t^6.51 + t^6.52 + t^6.62 + t^6.81 + 2*t^6.83 + 2*t^6.85 + t^6.91 + t^6.95 + t^7. + t^7.02 - t^7.03 + t^7.1 + t^7.25 + 2*t^7.26 + 3*t^7.27 + t^7.34 + t^7.35 + 4*t^7.36 + t^7.45 + t^7.46 + t^7.54 + t^7.64 + t^7.74 + 3*t^7.76 - t^7.77 + 2*t^7.78 + t^7.83 + 2*t^7.85 + 2*t^7.88 + t^7.93 + t^7.95 - t^7.96 + t^8.11 + t^8.12 + t^8.17 + 5*t^8.19 - 3*t^8.27 + 5*t^8.29 + t^8.3 - 3*t^8.37 + 3*t^8.39 + t^8.6 + t^8.61 + t^8.62 + t^8.63 + t^8.66 + 3*t^8.69 - 2*t^8.71 + t^8.76 + 3*t^8.78 + t^8.8 + t^8.81 + t^8.88 - t^8.89 + t^8.91 - t^8.98 + t^8.78/y^2 - t^3.93/y - t^4.85/y - t^6.2/y - t^6.29/y - t^6.63/y - (2*t^7.12)/y - t^7.15/y - t^7.22/y - t^7.56/y + t^7.64/y + t^7.98/y - t^8.05/y - t^8.66/y + t^8.9/y + t^8.92/y - t^3.93*y - t^4.85*y - t^6.2*y - t^6.29*y - t^6.63*y - 2*t^7.12*y - t^7.15*y - t^7.22*y - t^7.56*y + t^7.64*y + t^7.98*y - t^8.05*y - t^8.66*y + t^8.9*y + t^8.92*y + t^8.78*y^2 | (g3*t^2.27)/(g1*g2) + (g1*g2*t^2.37)/g3^6 + (g3^7*t^2.71)/(g1*g2) + t^3.2/(g1*g2) + g3^3*t^3.22 + (g3^6*t^3.63)/(g1*g2) + (g1*g2*t^3.73)/g3 + g3^2*t^4.15 + (g3^2*t^4.54)/(g1^2*g2^2) + (2*g3^5*t^4.56)/(g1*g2) + t^4.64/g3^5 + (2*g1*g2*t^4.66)/g3^2 + (g1^2*g2^2*t^4.73)/g3^12 + (g3^8*t^4.98)/(g1^2*g2^2) + (g2^3*t^5.41)/g3^2 + (g3^14*t^5.41)/(g1^2*g2^2) + (g3*t^5.47)/(g1^2*g2^2) + (2*g3^4*t^5.49)/(g1*g2) + t^5.56/g3^6 + (2*g1*g2*t^5.58)/g3^3 + (g3^13*t^5.59)/(g1*g2^4) + (g1*g3^6*t^5.69)/g2^2 + (g3^7*t^5.9)/(g1^2*g2^2) + (g3^10*t^5.92)/(g1*g2) - 3*t^6. + (3*g2^3*t^6.33)/g3^3 + (g3^13*t^6.34)/(g1^2*g2^2) + t^6.39/(g1^2*g2^2) + (2*g3^3*t^6.42)/(g1*g2) + 2*g3^6*t^6.44 + (g1*g2*t^6.51)/g3^4 + (g3^12*t^6.52)/(g1*g2^4) + (g1*g3^5*t^6.62)/g2^2 + (g3^3*t^6.81)/(g1^3*g2^3) + (2*g3^6*t^6.83)/(g1^2*g2^2) + (2*g3^9*t^6.85)/(g1*g2) + t^6.91/(g1*g2*g3^4) + g1*g2*g3^2*t^6.95 + (g1*g2*t^7.)/g3^11 + (g1^2*g2^2*t^7.02)/g3^8 - (g3^8*t^7.03)/g2^3 + (g1^3*g2^3*t^7.1)/g3^18 + (g3^9*t^7.25)/(g1^3*g2^3) + (2*g2^3*t^7.26)/g3^4 + (3*g3^12*t^7.27)/(g1^2*g2^2) + (g3^2*t^7.34)/(g1*g2) + (g3^18*t^7.35)/(g1^3*g2^6) + 4*g3^5*t^7.36 + (g3^11*t^7.45)/(g1*g2^4) + (g1^2*g2^2*t^7.46)/g3^2 + (g1*g3^4*t^7.54)/g2^2 + (g1^3*t^7.64)/g3^3 - (g2^2*t^7.68)/(g1*g3) + (g3^15*t^7.68)/(g1^3*g2^3) + (g3^2*t^7.74)/(g1^3*g2^3) + (3*g3^5*t^7.76)/(g1^2*g2^2) - (g1*g2^4*t^7.77)/g3^8 + (2*g3^8*t^7.78)/(g1*g2) + t^7.83/(g1*g2*g3^5) + (2*t^7.85)/g3^2 + 2*g1*g2*g3*t^7.88 + (g1*g2*t^7.93)/g3^12 + (g1^2*g2^2*t^7.95)/g3^9 - (g3^7*t^7.96)/g2^3 + (g2^2*g3^5*t^8.11)/g1 + (g3^21*t^8.12)/(g1^3*g2^3) + (g3^8*t^8.17)/(g1^3*g2^3) + (g2^3*t^8.19)/g3^5 + (4*g3^11*t^8.19)/(g1^2*g2^2) - (3*g3*t^8.27)/(g1*g2) + 5*g3^4*t^8.29 + (g3^20*t^8.3)/(g1^2*g2^5) - (3*g1*g2*t^8.37)/g3^6 + (2*g1^2*g2^2*t^8.39)/g3^3 + (g3^13*t^8.39)/g2^3 + (g2^2*t^8.6)/(g1*g3^2) + (g3^14*t^8.61)/(g1^3*g2^3) + g2^3*g3*t^8.62 + (g3^17*t^8.63)/(g1^2*g2^2) + (g3*t^8.66)/(g1^3*g2^3) + (3*g3^4*t^8.69)/(g1^2*g2^2) - (2*g3^7*t^8.71)/(g1*g2) + t^8.76/(g1*g2*g3^6) + (3*t^8.78)/g3^3 + g1*g2*t^8.8 + (g3^16*t^8.81)/(g1*g2^4) + (g1^2*g2^2*t^8.88)/g3^10 - (g3^6*t^8.89)/g2^3 + (g1*g3^9*t^8.91)/g2^2 - (g1^2*t^8.98)/(g2*g3) + t^8.78/(g3^3*y^2) - t^3.93/(g3*y) - t^4.85/(g3^2*y) - t^6.2/(g1*g2*y) - (g1*g2*t^6.29)/(g3^7*y) - (g3^6*t^6.63)/(g1*g2*y) - (2*t^7.12)/(g1*g2*g3*y) - (g3^2*t^7.15)/y - (g1*g2*t^7.22)/(g3^8*y) - (g3^5*t^7.56)/(g1*g2*y) + t^7.64/(g3^5*y) + (g3^8*t^7.98)/(g1^2*g2^2*y) - t^8.05/(g1*g2*g3^2*y) - (g1^2*g2^2*t^8.66)/(g3^13*y) + (g3^7*t^8.9)/(g1^2*g2^2*y) + (g3^10*t^8.92)/(g1*g2*y) - (t^3.93*y)/g3 - (t^4.85*y)/g3^2 - (t^6.2*y)/(g1*g2) - (g1*g2*t^6.29*y)/g3^7 - (g3^6*t^6.63*y)/(g1*g2) - (2*t^7.12*y)/(g1*g2*g3) - g3^2*t^7.15*y - (g1*g2*t^7.22*y)/g3^8 - (g3^5*t^7.56*y)/(g1*g2) + (t^7.64*y)/g3^5 + (g3^8*t^7.98*y)/(g1^2*g2^2) - (t^8.05*y)/(g1*g2*g3^2) - (g1^2*g2^2*t^8.66*y)/g3^13 + (g3^7*t^8.9*y)/(g1^2*g2^2) + (g3^10*t^8.92*y)/(g1*g2) + (t^8.78*y^2)/g3^3 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
58408 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4166 | 1.6154 | 0.8769 | [X:[1.3639], M:[0.7951, 0.7951, 1.0458], q:[0.5097, 0.5097], qb:[0.6952, 0.3771], phi:[0.3181]] | 2*t^2.39 + 2*t^2.66 + t^3.14 + 2*t^3.61 + t^4.09 + 4*t^4.57 + 3*t^4.77 + 3*t^5.05 + t^5.3 + 3*t^5.32 + 4*t^5.52 + 2*t^5.54 + 2*t^5.8 - 3*t^6. - t^3.95/y - t^4.91/y - t^3.95*y - t^4.91*y | detail |