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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58780 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.1575 | 1.3118 | 0.8824 | [X:[1.54], M:[0.9201, 0.6901, 0.6816], q:[0.4235, 0.892], qb:[0.4264, 0.8779], phi:[0.23]] | [X:[[0, 0, 2]], M:[[0, 0, -4], [0, 0, -3], [-1, 1, -1]], q:[[-1, 0, 5], [0, -1, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.04 + 2*t^2.07 + t^2.55 + t^2.76 + t^3.9 + t^4.09 + 2*t^4.11 + 3*t^4.14 + t^4.59 + 3*t^4.62 + t^4.8 + 2*t^4.83 + t^5.1 + 2*t^5.31 + t^5.52 + 2*t^5.88 + 2*t^5.91 + t^5.95 + t^5.97 - 3*t^6. - t^6.03 + t^6.13 + 2*t^6.16 + 3*t^6.19 + 4*t^6.21 + t^6.45 + t^6.64 + 4*t^6.66 + 4*t^6.69 + t^6.85 + 2*t^6.88 + 3*t^6.9 + t^7.14 + 3*t^7.17 + t^7.35 + 4*t^7.38 - t^7.41 + t^7.57 + 2*t^7.59 + t^7.65 + t^7.81 + t^7.86 + 2*t^7.93 + 4*t^7.95 + 2*t^7.98 + t^7.99 + t^8.02 - 2*t^8.04 - 3*t^8.07 - 2*t^8.1 + t^8.18 + 2*t^8.2 + 3*t^8.23 + 4*t^8.26 + 6*t^8.28 + 2*t^8.43 + 2*t^8.46 + t^8.5 + 2*t^8.52 - 4*t^8.55 - t^8.58 + t^8.68 + 4*t^8.71 + 3*t^8.73 - t^8.76 - t^8.79 + t^8.89 + 2*t^8.92 + 3*t^8.95 + 4*t^8.97 + t^8.07/y^2 - t^8.73/y^2 - (2*t^8.76)/y^2 - t^3.69/y - t^4.38/y - t^5.73/y - (2*t^5.76)/y - t^6.24/y - t^6.42/y - (3*t^6.45)/y + (2*t^7.11)/y + (3*t^7.62)/y - t^7.78/y - t^7.8/y - t^7.83/y - t^8.28/y + t^8.34/y - t^8.47/y - (3*t^8.5)/y - (5*t^8.52)/y - t^8.79/y + t^8.95/y + (2*t^8.97)/y - t^3.69*y - t^4.38*y - t^5.73*y - 2*t^5.76*y - t^6.24*y - t^6.42*y - 3*t^6.45*y + 2*t^7.11*y + 3*t^7.62*y - t^7.78*y - t^7.8*y - t^7.83*y - t^8.28*y + t^8.34*y - t^8.47*y - 3*t^8.5*y - 5*t^8.52*y - t^8.79*y + t^8.95*y + 2*t^8.97*y + t^8.07*y^2 - t^8.73*y^2 - 2*t^8.76*y^2 | (g2*t^2.04)/(g1*g3) + (2*t^2.07)/g3^3 + g3^5*t^2.55 + t^2.76/g3^4 + (g2*g3^5*t^3.9)/g1 + (g2^2*t^4.09)/(g1^2*g3^2) + (2*g2*t^4.11)/(g1*g3^4) + (3*t^4.14)/g3^6 + (g2*g3^4*t^4.59)/g1 + 3*g3^2*t^4.62 + (g2*t^4.8)/(g1*g3^5) + (2*t^4.83)/g3^7 + g3^10*t^5.1 + 2*g3*t^5.31 + t^5.52/g3^8 + (g1^2*g2*t^5.88)/g3 + (g3^12*t^5.88)/g1^3 + (g1^3*t^5.91)/g3^3 + (g3^10*t^5.91)/(g1^2*g2) + (g2^2*g3^4*t^5.95)/g1^2 + (g2*g3^2*t^5.97)/g1 - 3*t^6. - (g1*t^6.03)/(g2*g3^2) + (g2^3*t^6.13)/(g1^3*g3^3) + (2*g2^2*t^6.16)/(g1^2*g3^5) + (3*g2*t^6.19)/(g1*g3^7) + (4*t^6.21)/g3^9 + (g2*g3^10*t^6.45)/g1 + (g2^2*g3^3*t^6.64)/g1^2 + (4*g2*g3*t^6.66)/g1 + (4*t^6.69)/g3 + (g2^2*t^6.85)/(g1^2*g3^6) + (2*g2*t^6.88)/(g1*g3^8) + (3*t^6.9)/g3^10 + (g2*g3^9*t^7.14)/g1 + 3*g3^7*t^7.17 + (g2*t^7.35)/g1 + (4*t^7.38)/g3^2 - (g1*t^7.41)/(g2*g3^4) + (g2*t^7.57)/(g1*g3^9) + (2*t^7.59)/g3^11 + g3^15*t^7.65 + (g2^2*g3^10*t^7.81)/g1^2 + g3^6*t^7.86 + (g1*g2^2*t^7.93)/g3^2 + (g2*g3^11*t^7.93)/g1^4 + (2*g1^2*g2*t^7.95)/g3^4 + (2*g3^9*t^7.95)/g1^3 + (g1^3*t^7.98)/g3^6 + (g3^7*t^7.98)/(g1^2*g2) + (g2^3*g3^3*t^7.99)/g1^3 + (g2^2*g3*t^8.02)/g1^2 - (2*g2*t^8.04)/(g1*g3) - (3*t^8.07)/g3^3 - (2*g1*t^8.1)/(g2*g3^5) + (g2^4*t^8.18)/(g1^4*g3^4) + (2*g2^3*t^8.2)/(g1^3*g3^6) + (3*g2^2*t^8.23)/(g1^2*g3^8) + (4*g2*t^8.26)/(g1*g3^10) + (6*t^8.28)/g3^12 + g1^2*g2*g3^4*t^8.43 + (g3^17*t^8.43)/g1^3 + g1^3*g3^2*t^8.46 + (g3^15*t^8.46)/(g1^2*g2) + (g2^2*g3^9*t^8.5)/g1^2 + (2*g2*g3^7*t^8.52)/g1 - 4*g3^5*t^8.55 - (g1*g3^3*t^8.58)/g2 + (g2^3*g3^2*t^8.68)/g1^3 + (4*g2^2*t^8.71)/g1^2 + (3*g2*t^8.73)/(g1*g3^2) - t^8.76/g3^4 - (g1*t^8.79)/(g2*g3^6) + (g2^3*t^8.89)/(g1^3*g3^7) + (2*g2^2*t^8.92)/(g1^2*g3^9) + (3*g2*t^8.95)/(g1*g3^11) + (4*t^8.97)/g3^13 + t^8.07/(g3^3*y^2) - (g2*t^8.73)/(g1*g3^2*y^2) - (2*t^8.76)/(g3^4*y^2) - t^3.69/(g3*y) - t^4.38/(g3^2*y) - (g2*t^5.73)/(g1*g3^2*y) - (2*t^5.76)/(g3^4*y) - (g3^4*t^6.24)/y - (g2*t^6.42)/(g1*g3^3*y) - (3*t^6.45)/(g3^5*y) + (2*g2*t^7.11)/(g1*g3^4*y) + (3*g3^2*t^7.62)/y - (g2^2*t^7.78)/(g1^2*g3^3*y) - (g2*t^7.8)/(g1*g3^5*y) - t^7.83/(g3^7*y) - (g2*g3^3*t^8.28)/(g1*y) + (g1*t^8.34)/(g2*g3*y) - (g2^2*t^8.47)/(g1^2*g3^4*y) - (3*g2*t^8.5)/(g1*g3^6*y) - (5*t^8.52)/(g3^8*y) - (g3^9*t^8.79)/y + (g2^2*g3^4*t^8.95)/(g1^2*y) + (2*g2*g3^2*t^8.97)/(g1*y) - (t^3.69*y)/g3 - (t^4.38*y)/g3^2 - (g2*t^5.73*y)/(g1*g3^2) - (2*t^5.76*y)/g3^4 - g3^4*t^6.24*y - (g2*t^6.42*y)/(g1*g3^3) - (3*t^6.45*y)/g3^5 + (2*g2*t^7.11*y)/(g1*g3^4) + 3*g3^2*t^7.62*y - (g2^2*t^7.78*y)/(g1^2*g3^3) - (g2*t^7.8*y)/(g1*g3^5) - (t^7.83*y)/g3^7 - (g2*g3^3*t^8.28*y)/g1 + (g1*t^8.34*y)/(g2*g3) - (g2^2*t^8.47*y)/(g1^2*g3^4) - (3*g2*t^8.5*y)/(g1*g3^6) - (5*t^8.52*y)/g3^8 - g3^9*t^8.79*y + (g2^2*g3^4*t^8.95*y)/g1^2 + (2*g2*g3^2*t^8.97*y)/g1 + (t^8.07*y^2)/g3^3 - (g2*t^8.73*y^2)/(g1*g3^2) - (2*t^8.76*y^2)/g3^4 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57430 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.1368 | 1.2713 | 0.8942 | [X:[1.539], M:[0.922, 0.6915], q:[0.4237, 0.8847], qb:[0.4237, 0.8847], phi:[0.2305]] | 2*t^2.075 + t^2.542 + t^2.766 + 2*t^3.925 + 3*t^4.149 + 3*t^4.617 + 2*t^4.841 + t^5.085 + 2*t^5.308 + t^5.532 + 4*t^5.888 - t^6. - t^3.692/y - t^4.383/y - (2*t^5.766)/y - t^3.692*y - t^4.383*y - 2*t^5.766*y | detail |