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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58456 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.2507 | 1.4402 | 0.8685 | [X:[1.323, 1.3385], M:[0.6925, 1.0], q:[0.7665, 0.4475], qb:[0.5409, 0.214], phi:[0.3385]] | [X:[[0, -2], [0, 1]], M:[[0, 5], [0, 0]], q:[[2, 1], [-1, -1]], qb:[[-2, -6], [1, 0]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.08 + t^2.94 + t^2.97 + t^3. + t^3.05 + t^3.92 + t^3.96 + t^3.97 + t^3.98 + 2*t^4.02 + t^4.16 + t^4.9 + 2*t^4.94 + 2*t^4.97 + t^5. + t^5.08 + t^5.12 + t^5.88 + t^5.91 + t^5.92 + t^5.93 + t^5.94 + 2*t^5.95 + t^5.99 - 2*t^6. + t^6.01 + 2*t^6.05 + 3*t^6.09 + t^6.23 + t^6.86 + t^6.89 + t^6.9 + t^6.91 + 2*t^6.92 + 2*t^6.93 + t^6.95 + 2*t^6.96 + t^6.97 + t^6.98 + t^7. + 2*t^7.02 + t^7.03 + t^7.05 + 2*t^7.06 + t^7.07 + t^7.16 + t^7.2 + 2*t^7.84 + t^7.87 + 3*t^7.88 + 3*t^7.9 + 4*t^7.91 - t^7.93 + 5*t^7.94 + t^7.95 + t^7.96 + 3*t^7.97 + 2*t^7.98 + t^8. + t^8.02 + 3*t^8.03 + t^8.04 - 2*t^8.08 + 2*t^8.12 + 3*t^8.17 + t^8.31 + t^8.82 + t^8.83 + t^8.85 + 3*t^8.86 + t^8.87 + 3*t^8.88 + 6*t^8.9 - t^8.91 + 5*t^8.92 + 3*t^8.93 - 3*t^8.94 + 6*t^8.95 - 2*t^8.97 + 4*t^8.99 - t^4.02/y - t^5.03/y - t^6.09/y - t^6.96/y - t^6.98/y - t^7.06/y - t^7.11/y - t^7.97/y - t^8./y + t^8.02/y - (2*t^8.03)/y + t^8.04/y + t^8.12/y - t^8.17/y + t^8.91/y + t^8.94/y + t^8.97/y - t^4.02*y - t^5.03*y - t^6.09*y - t^6.96*y - t^6.98*y - t^7.06*y - t^7.11*y - t^7.97*y - t^8.*y + t^8.02*y - 2*t^8.03*y + t^8.04*y + t^8.12*y - t^8.17*y + t^8.91*y + t^8.94*y + t^8.97*y | g2^5*t^2.08 + g1^3*g2*t^2.94 + t^2.97/(g1^3*g2^7) + t^3. + g2^3*t^3.05 + t^3.92/g2^5 + g1^3*g2^2*t^3.96 + t^3.97/g2^2 + t^3.98/(g1^3*g2^6) + 2*g2*t^4.02 + g2^10*t^4.16 + t^4.9/(g1^3*g2^11) + (2*t^4.94)/g2^4 + 2*g1^3*g2^3*t^4.97 + t^5./(g1^3*g2^5) + g2^5*t^5.08 + g2^8*t^5.12 + g1^6*g2^2*t^5.88 + t^5.91/g2^6 + t^5.92/(g1^3*g2^10) + t^5.93/(g1^6*g2^14) + g1^3*g2*t^5.94 + (2*t^5.95)/g2^3 + g1^3*g2^4*t^5.99 - 2*t^6. + t^6.01/(g1^3*g2^4) + 2*g2^3*t^6.05 + 3*g2^6*t^6.09 + g2^15*t^6.23 + (g1^3*t^6.86)/g2^4 + t^6.89/(g1^3*g2^12) + g1^6*g2^3*t^6.9 + (g1^3*t^6.91)/g2 + (2*t^6.92)/g2^5 + (2*t^6.93)/(g1^3*g2^9) + t^6.95/(g1^6*g2^13) + 2*g1^3*g2^2*t^6.96 + t^6.97/g2^2 + t^6.98/(g1^3*g2^6) + g1^3*g2^5*t^7. + 2*g2*t^7.02 + t^7.03/(g1^3*g2^3) + g1^3*g2^8*t^7.05 + 2*g2^4*t^7.06 + t^7.07/g1^3 + g2^10*t^7.16 + g2^13*t^7.2 + (2*t^7.84)/g2^10 + t^7.87/(g1^6*g2^18) + (3*g1^3*t^7.88)/g2^3 + (3*t^7.9)/(g1^3*g2^11) + t^7.91/(g1^6*g2^15) + 3*g1^6*g2^4*t^7.91 - g1^3*t^7.93 + (5*t^7.94)/g2^4 + t^7.95/(g1^3*g2^8) + t^7.96/(g1^6*g2^12) + 3*g1^3*g2^3*t^7.97 + (2*t^7.98)/g2 + t^8./(g1^3*g2^5) + g1^3*g2^6*t^8.02 + 3*g2^2*t^8.03 + t^8.04/(g1^3*g2^2) - 2*g2^5*t^8.08 + 2*g2^8*t^8.12 + 3*g2^11*t^8.17 + g2^20*t^8.31 + g1^9*g2^3*t^8.82 + t^8.83/(g1^3*g2^16) + (g1^3*t^8.85)/g2^5 + (3*t^8.86)/g2^9 + t^8.87/(g1^3*g2^13) + (2*t^8.88)/(g1^6*g2^17) + g1^6*g2^2*t^8.88 + t^8.9/(g1^9*g2^21) + (5*g1^3*t^8.9)/g2^2 - t^8.91/g2^6 + (5*t^8.92)/(g1^3*g2^10) + 3*g1^6*g2^5*t^8.93 - 3*g1^3*g2*t^8.94 + (6*t^8.95)/g2^3 - (2*t^8.97)/(g1^3*g2^7) + t^8.98/(g1^6*g2^11) - g1^6*g2^8*t^8.98 + 4*g1^3*g2^4*t^8.99 - (g2*t^4.02)/y - (g2^2*t^5.03)/y - (g2^6*t^6.09)/y - (g1^3*g2^2*t^6.96)/y - t^6.98/(g1^3*g2^6*y) - (g2^4*t^7.06)/y - (g2^7*t^7.11)/y - (g1^3*g2^3*t^7.97)/y - t^8./(g1^3*g2^5*y) + (g1^3*g2^6*t^8.02)/y - (2*g2^2*t^8.03)/y + t^8.04/(g1^3*g2^2*y) + (g2^8*t^8.12)/y - (g2^11*t^8.17)/y + t^8.91/(g2^6*y) + (g1^3*g2*t^8.94)/y + t^8.97/(g1^3*g2^7*y) - g2*t^4.02*y - g2^2*t^5.03*y - g2^6*t^6.09*y - g1^3*g2^2*t^6.96*y - (t^6.98*y)/(g1^3*g2^6) - g2^4*t^7.06*y - g2^7*t^7.11*y - g1^3*g2^3*t^7.97*y - (t^8.*y)/(g1^3*g2^5) + g1^3*g2^6*t^8.02*y - 2*g2^2*t^8.03*y + (t^8.04*y)/(g1^3*g2^2) + g2^8*t^8.12*y - g2^11*t^8.17*y + (t^8.91*y)/g2^6 + g1^3*g2*t^8.94*y + (t^8.97*y)/(g1^3*g2^7) |
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 |
---|---|---|---|---|---|---|---|---|---|
57369 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.3358 | 1.5358 | 0.8698 | [X:[1.2666, 1.3667], M:[0.8335, 1.0], q:[0.5832, 0.3166], qb:[0.5832, 0.3166], phi:[0.3667]] | t^2.501 + 2*t^2.7 + t^3. + t^3.3 + 3*t^3.8 + 2*t^4.1 + t^4.6 + 2*t^4.75 + 2*t^4.9 + t^5.001 + 3*t^5.399 + t^5.501 + 2*t^5.55 + 3*t^5.7 + t^5.801 + 2*t^5.85 - t^6. - t^4.1/y - t^5.2/y - t^4.1*y - t^5.2*y | detail |