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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61172 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ | 1.3211 | 1.5016 | 0.8798 | [X:[1.3582], M:[0.9628, 1.0372, 0.9628], q:[0.6294, 0.383], qb:[0.7287, 0.3333], phi:[0.3209]] | [X:[[0, 2]], M:[[0, -3], [0, 3], [0, -3]], q:[[-1, -3], [-1, 4]], qb:[[1, 5], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | -2 | t^2.15 + 3*t^2.89 + t^3.34 + t^3.85 + 3*t^4.07 + 2*t^4.3 + 4*t^5.04 + 2*t^5.15 + t^5.48 + 5*t^5.78 + 2*t^5.89 - 2*t^6. + 2*t^6.11 + 5*t^6.22 + 2*t^6.34 + 2*t^6.45 + t^6.67 + t^6.74 + 6*t^6.96 + 5*t^7.19 + 2*t^7.3 + 3*t^7.41 + 2*t^7.63 - 2*t^7.81 + 9*t^7.93 + 4*t^8.04 + 2*t^8.15 + 8*t^8.37 + 4*t^8.48 + 3*t^8.6 + 7*t^8.66 + 4*t^8.78 + t^8.82 - 6*t^8.89 + t^8.89/y^2 - t^3.96/y - t^4.93/y - t^6.11/y - (3*t^6.85)/y - t^7.3/y - (3*t^7.81)/y + (2*t^8.04)/y - (2*t^8.26)/y + t^8.48/y + (3*t^8.78)/y - t^3.96*y - t^4.93*y - t^6.11*y - 3*t^6.85*y - t^7.3*y - 3*t^7.81*y + 2*t^8.04*y - 2*t^8.26*y + t^8.48*y + 3*t^8.78*y + t^8.89*y^2 | g2^4*t^2.15 + (3*t^2.89)/g2^3 + g2^9*t^3.34 + t^3.85/g2^4 + 3*g2^2*t^4.07 + 2*g2^8*t^4.3 + 4*g2*t^5.04 + (g2^4*t^5.15)/g1^3 + g1^3*g2^4*t^5.15 + g2^13*t^5.48 + (5*t^5.78)/g2^6 + t^5.89/(g1^3*g2^3) + (g1^3*t^5.89)/g2^3 - 2*t^6. + (g2^3*t^6.11)/g1^3 + g1^3*g2^3*t^6.11 + 5*g2^6*t^6.22 + (g2^9*t^6.34)/g1^3 + g1^3*g2^9*t^6.34 + 2*g2^12*t^6.45 + g2^18*t^6.67 + t^6.74/g2^7 + (6*t^6.96)/g2 + 5*g2^5*t^7.19 + (g2^8*t^7.3)/g1^3 + g1^3*g2^8*t^7.3 + 3*g2^11*t^7.41 + 2*g2^17*t^7.63 - t^7.81/(g1^3*g2^5) - (g1^3*t^7.81)/g2^5 + (9*t^7.93)/g2^2 + (2*g2*t^8.04)/g1^3 + 2*g1^3*g2*t^8.04 + 2*g2^4*t^8.15 + 8*g2^10*t^8.37 + (2*g2^13*t^8.48)/g1^3 + 2*g1^3*g2^13*t^8.48 + 3*g2^16*t^8.6 + (7*t^8.66)/g2^9 + (2*t^8.78)/(g1^3*g2^6) + (2*g1^3*t^8.78)/g2^6 + g2^22*t^8.82 - (6*t^8.89)/g2^3 + t^8.89/(g2^3*y^2) - t^3.96/(g2*y) - t^4.93/(g2^2*y) - (g2^3*t^6.11)/y - (3*t^6.85)/(g2^4*y) - (g2^8*t^7.3)/y - (3*t^7.81)/(g2^5*y) + (2*g2*t^8.04)/y - (2*g2^7*t^8.26)/y + (g2^13*t^8.48)/y + (3*t^8.78)/(g2^6*y) - (t^3.96*y)/g2 - (t^4.93*y)/g2^2 - g2^3*t^6.11*y - (3*t^6.85*y)/g2^4 - g2^8*t^7.3*y - (3*t^7.81*y)/g2^5 + 2*g2*t^8.04*y - 2*g2^7*t^8.26*y + g2^13*t^8.48*y + (3*t^8.78*y)/g2^6 + (t^8.89*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|---|
58138 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 1.318 | 1.4981 | 0.8798 | [X:[1.3531], M:[0.9704, 1.0296], q:[0.6371, 0.3728], qb:[0.716, 0.3333], phi:[0.3235]] | t^2.12 + 2*t^2.91 + t^3.09 + t^3.27 + t^3.88 + 3*t^4.06 + 2*t^4.24 + 3*t^5.03 + 2*t^5.12 + t^5.21 + t^5.38 + 2*t^5.82 + 2*t^5.91 - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail |