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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60782 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{3}X_{3}$ | 0.8599 | 0.9352 | 0.9195 | [X:[1.5728, 1.7184, 1.3592], M:[0.2816], q:[0.7379, 0.4562], qb:[0.2621, 1.2621], phi:[0.2136]] | [X:[[6], [18], [9]], M:[[-18]], q:[[-1], [17]], qb:[[1], [1]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.16 + t^2.8 + t^3.44 + t^4.08 + t^4.28 + t^4.31 + t^4.72 + t^4.95 + 2*t^5.59 - 2*t^6. + t^6.03 + 2*t^6.23 + t^6.44 + t^6.47 - t^6.64 - t^6.84 + 3*t^6.87 + t^7.08 + t^7.11 - t^7.49 + t^7.51 + t^7.72 + 2*t^7.75 + t^7.92 - t^8.13 - t^8.16 + t^8.18 + 3*t^8.39 + 2*t^8.56 + t^8.62 - 5*t^8.8 + t^8.82 + t^7.92/y^2 - t^8.8/y^2 - t^3.64/y - t^4.28/y - t^5.8/y - t^6.44/y - t^7.08/y - t^7.72/y - t^8.36/y - t^3.64*y - t^4.28*y - t^5.8*y - t^6.44*y - t^7.08*y - t^7.72*y - t^8.36*y + t^7.92*y^2 - t^8.8*y^2 | g1^18*t^2.16 + g1^15*t^2.8 + g1^12*t^3.44 + g1^9*t^4.08 + t^4.28/g1^6 + g1^36*t^4.31 + g1^6*t^4.72 + g1^33*t^4.95 + 2*g1^30*t^5.59 - 2*t^6. + g1^42*t^6.03 + 2*g1^27*t^6.23 + g1^12*t^6.44 + g1^54*t^6.47 - t^6.64/g1^3 - t^6.84/g1^18 + 3*g1^24*t^6.87 + g1^9*t^7.08 + g1^51*t^7.11 - t^7.49/g1^21 + g1^21*t^7.51 + g1^6*t^7.72 + 2*g1^48*t^7.75 + t^7.92/g1^9 - t^8.13/g1^24 - g1^18*t^8.16 + g1^60*t^8.18 + 3*g1^45*t^8.39 + (2*t^8.56)/g1^12 + g1^72*t^8.62 - 5*g1^15*t^8.8 + g1^57*t^8.82 + t^7.92/(g1^9*y^2) - (g1^15*t^8.8)/y^2 - t^3.64/(g1^3*y) - t^4.28/(g1^6*y) - (g1^15*t^5.8)/y - (g1^12*t^6.44)/y - (g1^9*t^7.08)/y - (g1^6*t^7.72)/y - (g1^3*t^8.36)/y - (t^3.64*y)/g1^3 - (t^4.28*y)/g1^6 - g1^15*t^5.8*y - g1^12*t^6.44*y - g1^9*t^7.08*y - g1^6*t^7.72*y - g1^3*t^8.36*y + (t^7.92*y^2)/g1^9 - g1^15*t^8.8*y^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
57591 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4443 | 1.6268 | 0.8878 | [X:[1.3603], M:[0.9191], q:[0.4451, 0.5106], qb:[0.5549, 0.5703], phi:[0.3199]] | t^2.76 + t^2.88 + t^3. + t^3.05 + t^3.2 + t^3.96 + t^4.01 + t^4.08 + t^4.16 + t^4.2 + t^4.92 + t^4.97 + t^5.12 + 2*t^5.16 + t^5.36 + t^5.51 + t^5.64 + 2*t^5.76 + t^5.88 + t^5.92 - 2*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail |