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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57970 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 1.4475 | 1.6514 | 0.8765 | [X:[1.3475], M:[0.8156, 1.0213, 0.8156], q:[0.4291, 0.5922], qb:[0.4291, 0.5922], phi:[0.3262]] | [X:[[0, 0, 4]], M:[[0, 0, -5], [0, 0, 6], [0, 0, -5]], q:[[-1, 0, 7], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -2]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -4 | 2*t^2.45 + t^2.57 + 3*t^3.06 + 3*t^4.04 + 2*t^4.53 + 3*t^4.89 + 4*t^5.02 + t^5.15 + 2*t^5.33 + 5*t^5.51 + 3*t^5.64 + 2*t^5.82 - 4*t^6. + 6*t^6.13 + 2*t^6.31 + 2*t^6.49 + 3*t^6.62 + 4*t^6.8 + t^6.98 + 11*t^7.11 + 4*t^7.34 + 3*t^7.47 + 9*t^7.6 + t^7.72 + 2*t^7.78 + 2*t^7.9 + 5*t^7.96 + 14*t^8.09 + 3*t^8.21 + 8*t^8.39 - 9*t^8.45 + 9*t^8.57 + 6*t^8.7 - 4*t^8.76 + 8*t^8.88 + 4*t^8.94 + t^8.94/y^2 - t^3.98/y - t^4.96/y - (2*t^6.43)/y - t^6.55/y - (3*t^7.04)/y - (2*t^7.4)/y + t^7.89/y - t^8.02/y + (6*t^8.51)/y + (3*t^8.64)/y - (3*t^8.87)/y - t^3.98*y - t^4.96*y - 2*t^6.43*y - t^6.55*y - 3*t^7.04*y - 2*t^7.4*y + t^7.89*y - t^8.02*y + 6*t^8.51*y + 3*t^8.64*y - 3*t^8.87*y + t^8.94*y^2 | (2*t^2.45)/g3^5 + g3^7*t^2.57 + (g1*g3^5*t^3.06)/g2 + g3^6*t^3.06 + (g2*g3^7*t^3.06)/g1 + (g1*g3^3*t^4.04)/g2 + g3^4*t^4.04 + (g2*g3^5*t^4.04)/g1 + 2*g3^3*t^4.53 + (3*t^4.89)/g3^10 + (g1*g3*t^5.02)/g2 + 2*g3^2*t^5.02 + (g2*g3^3*t^5.02)/g1 + g3^14*t^5.15 + (g1^2*g2*t^5.33)/g3^2 + (g3^17*t^5.33)/(g1^2*g2) + (g1*t^5.51)/g2 + 3*g3*t^5.51 + (g2*g3^2*t^5.51)/g1 + (g1*g3^12*t^5.64)/g2 + g3^13*t^5.64 + (g2*g3^14*t^5.64)/g1 + (g1*g2^2*t^5.82)/g3^2 + (g3^15*t^5.82)/(g1*g2^2) - 4*t^6. + (g1^2*g3^10*t^6.13)/g2^2 + (g1*g3^11*t^6.13)/g2 + 2*g3^12*t^6.13 + (g2*g3^13*t^6.13)/g1 + (g2^2*g3^14*t^6.13)/g1^2 + (g1^2*g2*t^6.31)/g3^4 + (g3^15*t^6.31)/(g1^2*g2) + (2*t^6.49)/g3 + (g1*g3^10*t^6.62)/g2 + g3^11*t^6.62 + (g2*g3^12*t^6.62)/g1 + (g1^3*t^6.8)/g3^6 + (g1*g2^2*t^6.8)/g3^4 + (g3^13*t^6.8)/(g1*g2^2) + (g3^15*t^6.8)/g1^3 + t^6.98/g3^2 + (g1^2*g3^8*t^7.11)/g2^2 + (2*g1*g3^9*t^7.11)/g2 + 5*g3^10*t^7.11 + (2*g2*g3^11*t^7.11)/g1 + (g2^2*g3^12*t^7.11)/g1^2 + (g1^2*g2*t^7.29)/g3^6 - (g1*g2^2*t^7.29)/g3^5 - (g3^12*t^7.29)/(g1*g2^2) + (g3^13*t^7.29)/(g1^2*g2) + (4*t^7.34)/g3^15 + (3*t^7.47)/g3^3 + (3*g1*g3^8*t^7.6)/g2 + 3*g3^9*t^7.6 + (3*g2*g3^10*t^7.6)/g1 + g3^21*t^7.72 + (g1*g2^2*t^7.78)/g3^6 + (g3^11*t^7.78)/(g1*g2^2) + g1^2*g2*g3^5*t^7.9 + (g3^24*t^7.9)/(g1^2*g2) + (g1*t^7.96)/(g2*g3^5) + (3*t^7.96)/g3^4 + (g2*t^7.96)/(g1*g3^3) + (2*g1^2*g3^6*t^8.09)/g2^2 + (2*g1*g3^7*t^8.09)/g2 + 6*g3^8*t^8.09 + (2*g2*g3^9*t^8.09)/g1 + (2*g2^2*g3^10*t^8.09)/g1^2 + (g1*g3^19*t^8.21)/g2 + g3^20*t^8.21 + (g2*g3^21*t^8.21)/g1 - (g1^3*t^8.27)/g3^9 + (g2^3*t^8.27)/g3^6 + (g3^9*t^8.27)/g2^3 - (g3^12*t^8.27)/g1^3 + g1^3*g3^3*t^8.39 + g1^2*g2*g3^4*t^8.39 + 2*g1*g2^2*g3^5*t^8.39 + (2*g3^22*t^8.39)/(g1*g2^2) + (g3^23*t^8.39)/(g1^2*g2) + (g3^24*t^8.39)/g1^3 - (g1*t^8.45)/(g2*g3^6) - (7*t^8.45)/g3^5 - (g2*t^8.45)/(g1*g3^4) + (g1^2*g3^5*t^8.57)/g2^2 + (4*g1*g3^6*t^8.57)/g2 - g3^7*t^8.57 + (4*g2*g3^8*t^8.57)/g1 + (g2^2*g3^9*t^8.57)/g1^2 + (g1^2*g3^17*t^8.7)/g2^2 + (g1*g3^18*t^8.7)/g2 + 2*g3^19*t^8.7 + (g2*g3^20*t^8.7)/g1 + (g2^2*g3^21*t^8.7)/g1^2 - (g1^2*g2*t^8.76)/g3^9 - (g2^3*t^8.76)/g3^7 - (g3^8*t^8.76)/g2^3 - (g3^10*t^8.76)/(g1^2*g2) + 2*g1^2*g2*g3^3*t^8.88 + g1*g2^2*g3^4*t^8.88 + g2^3*g3^5*t^8.88 + (g3^20*t^8.88)/g2^3 + (g3^21*t^8.88)/(g1*g2^2) + (2*g3^22*t^8.88)/(g1^2*g2) + (4*t^8.94)/g3^6 + t^8.94/(g3^6*y^2) - t^3.98/(g3^2*y) - t^4.96/(g3^4*y) - (2*t^6.43)/(g3^7*y) - (g3^5*t^6.55)/y - (g1*g3^3*t^7.04)/(g2*y) - (g3^4*t^7.04)/y - (g2*g3^5*t^7.04)/(g1*y) - (2*t^7.4)/(g3^9*y) + t^7.89/(g3^10*y) - (g1*g3*t^8.02)/(g2*y) + (g3^2*t^8.02)/y - (g2*g3^3*t^8.02)/(g1*y) + (2*g1*t^8.51)/(g2*y) + (2*g3*t^8.51)/y + (2*g2*g3^2*t^8.51)/(g1*y) + (g1*g3^12*t^8.64)/(g2*y) + (g3^13*t^8.64)/y + (g2*g3^14*t^8.64)/(g1*y) - (3*t^8.87)/(g3^12*y) - (t^3.98*y)/g3^2 - (t^4.96*y)/g3^4 - (2*t^6.43*y)/g3^7 - g3^5*t^6.55*y - (g1*g3^3*t^7.04*y)/g2 - g3^4*t^7.04*y - (g2*g3^5*t^7.04*y)/g1 - (2*t^7.4*y)/g3^9 + (t^7.89*y)/g3^10 - (g1*g3*t^8.02*y)/g2 + g3^2*t^8.02*y - (g2*g3^3*t^8.02*y)/g1 + (2*g1*t^8.51*y)/g2 + 2*g3*t^8.51*y + (2*g2*g3^2*t^8.51*y)/g1 + (g1*g3^12*t^8.64*y)/g2 + g3^13*t^8.64*y + (g2*g3^14*t^8.64*y)/g1 - (3*t^8.87*y)/g3^12 + (t^8.94*y^2)/g3^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
57305 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4324 | 1.6286 | 0.8795 | [X:[1.3376], M:[0.828, 1.0064], q:[0.4204, 0.586], qb:[0.4204, 0.586], phi:[0.3312]] | t^2.484 + t^2.522 + 3*t^3.019 + t^3.516 + 3*t^4.013 + 2*t^4.51 + t^4.968 + 3*t^5.006 + t^5.045 + 2*t^5.274 + 2*t^5.503 + 3*t^5.541 + 2*t^5.771 - 3*t^6. - t^3.994/y - t^4.987/y - t^3.994*y - t^4.987*y | detail |