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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58120 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3522 | 1.5255 | 0.8864 | [X:[1.4195], M:[0.8707, 0.839], q:[0.7309, 0.4089], qb:[0.6886, 0.4301], phi:[0.2902]] | [X:[[0, 2]], M:[[0, -3], [0, 4]], q:[[-1, -4], [-1, 4]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | 2*t^2.52 + 2*t^2.61 + t^3.29 + t^4.16 + 3*t^4.26 + t^4.35 + 3*t^5.03 + 5*t^5.13 + 3*t^5.22 + 2*t^5.52 + 2*t^5.81 + t^5.9 - 3*t^6. - t^6.1 + 2*t^6.29 + 2*t^6.39 + 2*t^6.48 + t^6.59 + 2*t^6.68 + 6*t^6.78 + 5*t^6.87 + t^7.46 + 7*t^7.55 + 7*t^7.65 + 7*t^7.74 + 3*t^7.84 + 2*t^8.03 - 2*t^8.22 + 4*t^8.33 + 5*t^8.42 - 4*t^8.61 - t^8.71 + 6*t^8.81 + 6*t^8.9 + t^8.61/y^2 - t^3.87/y - t^4.74/y - (2*t^6.39)/y - (2*t^6.48)/y - t^7.16/y - t^7.26/y - (2*t^7.35)/y + (3*t^8.13)/y + t^8.22/y + (2*t^8.81)/y - t^8.9/y - t^3.87*y - t^4.74*y - 2*t^6.39*y - 2*t^6.48*y - t^7.16*y - t^7.26*y - 2*t^7.35*y + 3*t^8.13*y + t^8.22*y + 2*t^8.81*y - t^8.9*y + t^8.61*y^2 | 2*g2^4*t^2.52 + (2*t^2.61)/g2^3 + g2^10*t^3.29 + g2^9*t^4.16 + 3*g2^2*t^4.26 + t^4.35/g2^5 + 3*g2^8*t^5.03 + 5*g2*t^5.13 + (3*t^5.22)/g2^6 + (g2^3*t^5.52)/g1^3 + g1^3*g2^5*t^5.52 + 2*g2^14*t^5.81 + g2^7*t^5.9 - 3*t^6. - t^6.1/g2^7 + (g2^9*t^6.29)/g1^3 + g1^3*g2^11*t^6.29 + (g2^2*t^6.39)/g1^3 + g1^3*g2^4*t^6.39 + t^6.48/(g1^3*g2^5) + (g1^3*t^6.48)/g2^3 + g2^20*t^6.59 + 2*g2^13*t^6.68 + 6*g2^6*t^6.78 + (5*t^6.87)/g2 + g2^19*t^7.46 + 7*g2^12*t^7.55 + 7*g2^5*t^7.65 + (7*t^7.74)/g2^2 + (3*t^7.84)/g2^9 + (g2^7*t^8.03)/g1^3 + g1^3*g2^9*t^8.03 - t^8.22/(g1^3*g2^7) - (g1^3*t^8.22)/g2^5 + 4*g2^18*t^8.33 + 5*g2^11*t^8.42 - (4*t^8.61)/g2^3 - t^8.71/g2^10 + (3*g2^13*t^8.81)/g1^3 + 3*g1^3*g2^15*t^8.81 + (3*g2^6*t^8.9)/g1^3 + 3*g1^3*g2^8*t^8.9 + t^8.61/(g2^3*y^2) - t^3.87/(g2*y) - t^4.74/(g2^2*y) - (2*g2^3*t^6.39)/y - (2*t^6.48)/(g2^4*y) - (g2^9*t^7.16)/y - (g2^2*t^7.26)/y - (2*t^7.35)/(g2^5*y) + (3*g2*t^8.13)/y + t^8.22/(g2^6*y) + (2*g2^14*t^8.81)/y - (g2^7*t^8.9)/y - (t^3.87*y)/g2 - (t^4.74*y)/g2^2 - 2*g2^3*t^6.39*y - (2*t^6.48*y)/g2^4 - g2^9*t^7.16*y - g2^2*t^7.26*y - (2*t^7.35*y)/g2^5 + 3*g2*t^8.13*y + (t^8.22*y)/g2^6 + 2*g2^14*t^8.81*y - g2^7*t^8.9*y + (t^8.61*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 |
---|---|---|---|---|---|---|---|---|---|
57337 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3386 | 1.5006 | 0.892 | [X:[1.4238], M:[0.8643], q:[0.723, 0.4183], qb:[0.7008, 0.4294], phi:[0.2881]] | t^2.543 + 2*t^2.593 + t^3.357 + t^3.457 + t^4.222 + 3*t^4.271 + t^4.321 + t^5.086 + 3*t^5.136 + 3*t^5.186 + 2*t^5.543 + t^5.9 + t^5.95 - 2*t^6. - t^3.864/y - t^4.729/y - t^3.864*y - t^4.729*y | detail |