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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58472 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4075 | 1.5988 | 0.8803 | [X:[1.4111], M:[0.7361, 0.7361], q:[0.4991, 0.4991], qb:[0.7648, 0.4704], phi:[0.2944]] | [X:[[0, 6]], M:[[1, -16], [-1, 1]], q:[[-1, 17], [1, 0]], qb:[[0, -1], [0, 2]], phi:[[0, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.21 + t^2.65 + 2*t^2.91 + 2*t^3.79 + t^4.23 + 3*t^4.42 + 4*t^4.68 + 2*t^4.86 + 3*t^5.12 + t^5.3 + 2*t^5.38 + 4*t^5.56 + 3*t^5.82 - 2*t^6. + 2*t^6.26 + 4*t^6.44 + 4*t^6.62 + 3*t^6.7 + 5*t^6.88 + 3*t^7.07 + 6*t^7.14 + 8*t^7.32 + 2*t^7.51 + 10*t^7.58 + 4*t^7.77 + t^7.95 + 6*t^8.03 - 4*t^8.21 + 4*t^8.28 + 11*t^8.47 + 2*t^8.65 + 4*t^8.73 + 5*t^8.83 - 4*t^8.91 + t^8.65/y^2 - t^3.88/y - t^4.77/y - (2*t^6.09)/y - t^6.53/y - (2*t^6.79)/y - (2*t^6.97)/y - (2*t^7.68)/y + (2*t^7.86)/y + (4*t^8.12)/y - (3*t^8.3)/y - (2*t^8.74)/y + t^8.82/y - t^3.88*y - t^4.77*y - 2*t^6.09*y - t^6.53*y - 2*t^6.79*y - 2*t^6.97*y - 2*t^7.68*y + 2*t^7.86*y + 4*t^8.12*y - 3*t^8.3*y - 2*t^8.74*y + t^8.82*y + t^8.65*y^2 | (g1*t^2.21)/g2^16 + (g2*t^2.21)/g1 + t^2.65/g2^9 + g1*g2^2*t^2.91 + (g2^19*t^2.91)/g1 + (g1*t^3.79)/g2 + (g2^16*t^3.79)/g1 + g2^6*t^4.23 + (g1^2*t^4.42)/g2^32 + t^4.42/g2^15 + (g2^2*t^4.42)/g1^2 + (2*g1*t^4.68)/g2^4 + (2*g2^13*t^4.68)/g1 + (g1*t^4.86)/g2^25 + t^4.86/(g1*g2^8) + (g1^2*t^5.12)/g2^14 + g2^3*t^5.12 + (g2^20*t^5.12)/g1^2 + t^5.3/g2^18 + g1*g2^14*t^5.38 + (g2^31*t^5.38)/g1 + (2*g1*t^5.56)/g2^7 + (2*g2^10*t^5.56)/g1 + g1^2*g2^4*t^5.82 + g2^21*t^5.82 + (g2^38*t^5.82)/g1^2 - 2*t^6. + g1*g2^11*t^6.26 + (g2^28*t^6.26)/g1 + (2*g1*t^6.44)/g2^10 + (2*g2^7*t^6.44)/g1 + (g1^3*t^6.62)/g2^48 + (g1*t^6.62)/g2^31 + t^6.62/(g1*g2^14) + (g2^3*t^6.62)/g1^3 + g1^2*g2*t^6.7 + g2^18*t^6.7 + (g2^35*t^6.7)/g1^2 + (g1^2*t^6.88)/g2^20 + (3*t^6.88)/g2^3 + (g2^14*t^6.88)/g1^2 + (g1^2*t^7.07)/g2^41 + t^7.07/g2^24 + t^7.07/(g1^2*g2^7) + (g1^3*t^7.14)/g2^9 + 2*g1*g2^8*t^7.14 + (2*g2^25*t^7.14)/g1 + (g2^42*t^7.14)/g1^3 + (g1^3*t^7.32)/g2^30 + (3*g1*t^7.32)/g2^13 + (3*g2^4*t^7.32)/g1 + (g2^21*t^7.32)/g1^3 + (g1*t^7.51)/g2^34 + t^7.51/(g1*g2^17) + (3*g1^2*t^7.58)/g2^2 + 4*g2^15*t^7.58 + (3*g2^32*t^7.58)/g1^2 + (g1^2*t^7.77)/g2^23 + (2*t^7.77)/g2^6 + (g2^11*t^7.77)/g1^2 + t^7.95/g2^27 + (g1^3*t^8.03)/g2^12 + 2*g1*g2^5*t^8.03 + (2*g2^22*t^8.03)/g1 + (g2^39*t^8.03)/g1^3 - (2*g1*t^8.21)/g2^16 - (2*g2*t^8.21)/g1 + g1^2*g2^16*t^8.28 + 2*g2^33*t^8.28 + (g2^50*t^8.28)/g1^2 + (3*g1^2*t^8.47)/g2^5 + 5*g2^12*t^8.47 + (3*g2^29*t^8.47)/g1^2 + (g1^2*t^8.65)/g2^26 + (g2^8*t^8.65)/g1^2 + g1^3*g2^6*t^8.73 + g1*g2^23*t^8.73 + (g2^40*t^8.73)/g1 + (g2^57*t^8.73)/g1^3 + (g1^4*t^8.83)/g2^64 + (g1^2*t^8.83)/g2^47 + t^8.83/g2^30 + t^8.83/(g1^2*g2^13) + (g2^4*t^8.83)/g1^4 - 2*g1*g2^2*t^8.91 - (2*g2^19*t^8.91)/g1 + t^8.65/(g2^9*y^2) - t^3.88/(g2^3*y) - t^4.77/(g2^6*y) - (g1*t^6.09)/(g2^19*y) - t^6.09/(g1*g2^2*y) - t^6.53/(g2^12*y) - (g1*t^6.79)/(g2*y) - (g2^16*t^6.79)/(g1*y) - (g1*t^6.97)/(g2^22*y) - t^6.97/(g1*g2^5*y) - (g1*t^7.68)/(g2^4*y) - (g2^13*t^7.68)/(g1*y) + (g1*t^7.86)/(g2^25*y) + t^7.86/(g1*g2^8*y) + (g1^2*t^8.12)/(g2^14*y) + (2*g2^3*t^8.12)/y + (g2^20*t^8.12)/(g1^2*y) - (g1^2*t^8.3)/(g2^35*y) - t^8.3/(g2^18*y) - t^8.3/(g1^2*g2*y) - (g1*t^8.74)/(g2^28*y) - t^8.74/(g1*g2^11*y) + (g2^21*t^8.82)/y - (t^3.88*y)/g2^3 - (t^4.77*y)/g2^6 - (g1*t^6.09*y)/g2^19 - (t^6.09*y)/(g1*g2^2) - (t^6.53*y)/g2^12 - (g1*t^6.79*y)/g2 - (g2^16*t^6.79*y)/g1 - (g1*t^6.97*y)/g2^22 - (t^6.97*y)/(g1*g2^5) - (g1*t^7.68*y)/g2^4 - (g2^13*t^7.68*y)/g1 + (g1*t^7.86*y)/g2^25 + (t^7.86*y)/(g1*g2^8) + (g1^2*t^8.12*y)/g2^14 + 2*g2^3*t^8.12*y + (g2^20*t^8.12*y)/g1^2 - (g1^2*t^8.3*y)/g2^35 - (t^8.3*y)/g2^18 - (t^8.3*y)/(g1^2*g2) - (g1*t^8.74*y)/g2^28 - (t^8.74*y)/(g1*g2^11) + g2^21*t^8.82*y + (t^8.65*y^2)/g2^9 |
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 |
---|---|---|---|---|---|---|---|---|---|
57371 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.422 | 1.6203 | 0.8776 | [X:[1.3791], M:[0.7761, 0.7761], q:[0.5214, 0.5214], qb:[0.7025, 0.392], phi:[0.3104]] | 2*t^2.328 + 2*t^2.74 + t^2.794 + 2*t^3.672 + t^4.137 + 4*t^4.603 + 3*t^4.657 + 3*t^5.069 + 2*t^5.122 + t^5.391 + 3*t^5.481 + 4*t^5.534 + t^5.588 + 2*t^5.624 - 3*t^6. - t^3.931/y - t^4.863/y - t^3.931*y - t^4.863*y | detail |