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 |
---|---|---|---|---|---|---|---|---|---|
57289 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3256 | 1.4774 | 0.8972 | [X:[1.4283], M:[1.1433, 0.8575], q:[0.4283, 0.7142], qb:[0.4283, 0.7142], phi:[0.2858]] | [X:[[0, 0, 2]], M:[[0, 0, -4], [0, 0, -3]], q:[[-1, 0, 4], [0, -1, 2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$ | -1 | 2*t^2.573 + 2*t^3.427 + t^3.43 + 5*t^4.285 + t^5.142 + 3*t^5.145 + 2*t^5.57 - t^6. + 2*t^6.003 + 6*t^6.427 + 3*t^6.855 + 5*t^6.858 + t^6.86 + 9*t^7.712 + 4*t^7.715 + 4*t^7.718 - 4*t^8.142 + 13*t^8.57 - t^8.573 + 3*t^8.575 + 4*t^8.997 + t^8.573/y^2 - t^3.858/y - t^4.715/y - (2*t^6.43)/y - t^7.285/y - (3*t^7.288)/y - (3*t^8.142)/y - t^3.858*y - t^4.715*y - 2*t^6.43*y - t^7.285*y - 3*t^7.288*y - 3*t^8.142*y + t^8.573*y^2 | (2*t^2.573)/g3^3 + (g1*g3^2*t^3.427)/g2 + (g2*g3^4*t^3.427)/g1 + t^3.43/g3^4 + (g1*g3*t^4.285)/g2 + 3*g3^2*t^4.285 + (g2*g3^3*t^4.285)/g1 + g3*t^5.142 + (3*t^5.145)/g3^6 + (g1^2*g2*t^5.57)/g3 + (g3^9*t^5.57)/(g1^2*g2) - 3*t^6. + (g1*t^6.)/(g2*g3) + (g2*g3*t^6.)/g1 + (2*t^6.003)/g3^7 + (g1^3*t^6.427)/g3^3 + (g1^2*g2*t^6.427)/g3^2 + (g1*g2^2*t^6.427)/g3 + (g3^7*t^6.427)/(g1*g2^2) + (g3^8*t^6.427)/(g1^2*g2) + (g3^9*t^6.427)/g1^3 + (g1^2*g3^4*t^6.855)/g2^2 + g3^6*t^6.855 + (g2^2*g3^8*t^6.855)/g1^2 + (g2*t^6.858)/g1 + (g1*t^6.858)/(g2*g3^2) + (3*t^6.858)/g3 + t^6.86/g3^8 + (g1^2*g3^3*t^7.712)/g2^2 + (3*g1*g3^4*t^7.712)/g2 + g3^5*t^7.712 + (3*g2*g3^6*t^7.712)/g1 + (g2^2*g3^7*t^7.712)/g1^2 + (4*t^7.715)/g3^2 + (4*t^7.718)/g3^9 - (g1^3*t^8.142)/g3^5 - (g1*g2^2*t^8.142)/g3^3 - (g3^5*t^8.142)/(g1*g2^2) - (g3^7*t^8.142)/g1^3 + (g1^2*g3^2*t^8.57)/g2^2 + (3*g1*g3^3*t^8.57)/g2 + 5*g3^4*t^8.57 + (3*g2*g3^5*t^8.57)/g1 + (g2^2*g3^6*t^8.57)/g1^2 + (g1*t^8.573)/(g2*g3^4) - (3*t^8.573)/g3^3 + (g2*t^8.573)/(g1*g3^2) + (3*t^8.575)/g3^10 + g1^3*g3*t^8.997 + g1*g2^2*g3^3*t^8.997 + (g3^11*t^8.997)/(g1*g2^2) + (g3^13*t^8.997)/g1^3 + t^8.573/(g3^3*y^2) - t^3.858/(g3*y) - t^4.715/(g3^2*y) - (2*t^6.43)/(g3^4*y) - (g1*g3*t^7.285)/(g2*y) + (g3^2*t^7.285)/y - (g2*g3^3*t^7.285)/(g1*y) - (3*t^7.288)/(g3^5*y) - (g1*t^8.142)/(g2*y) - (g3*t^8.142)/y - (g2*g3^2*t^8.142)/(g1*y) - (t^3.858*y)/g3 - (t^4.715*y)/g3^2 - (2*t^6.43*y)/g3^4 - (g1*g3*t^7.285*y)/g2 + g3^2*t^7.285*y - (g2*g3^3*t^7.285*y)/g1 - (3*t^7.288*y)/g3^5 - (g1*t^8.142*y)/g2 - g3*t^8.142*y - (g2*g3^2*t^8.142*y)/g1 + (t^8.573*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|
57823 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.112 | 1.2445 | 0.8935 | [X:[1.5516], M:[0.8967, 0.6726], q:[0.4022, 1.0747], qb:[0.7011, 0.4769], phi:[0.2242]] | 2*t^2.02 + t^2.64 + t^2.69 + t^3.31 + 3*t^4.04 + 4*t^4.65 + 2*t^4.71 + t^5.27 + 3*t^5.33 + t^5.38 + 2*t^5.64 + t^5.95 - 2*t^6. - t^3.67/y - t^4.35/y - (2*t^5.69)/y - t^3.67*y - t^4.35*y - 2*t^5.69*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
47884 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.314 | 1.4609 | 0.8994 | [X:[1.4124], M:[1.1752], q:[0.4124, 0.7062], qb:[0.4124, 0.7062], phi:[0.2938]] | t^2.644 + 3*t^3.356 + t^3.526 + 5*t^4.237 + t^5.119 + t^5.288 + 2*t^5.474 - 2*t^6. - t^3.881/y - t^4.763/y - t^3.881*y - t^4.763*y | detail |