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 |
---|---|---|---|---|---|---|---|---|---|
57768 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 0.9243 | 0.9785 | 0.9447 | [X:[1.6535, 1.4802], M:[0.6931, 1.0396], q:[0.4802, 1.1733], qb:[0.8267, 0.4802], phi:[0.1733]] | [X:[[0, 2], [0, 3]], M:[[0, -4], [0, -6]], q:[[-1, 6], [-1, 2]], qb:[[1, -2], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}$ | -2 | t^2.08 + t^3.12 + t^3.4 + t^4.16 + t^4.44 + t^4.96 + t^5.2 + t^5.48 + 2*t^5.88 - 2*t^6. + 2*t^6.24 + t^6.52 + t^6.8 + t^7.04 + t^7.28 + 3*t^7.56 + t^7.84 + 2*t^8.32 - 2*t^8.48 + t^8.88 + t^7.56/y^2 - t^8.6/y^2 - t^3.52/y - t^4.04/y - t^5.6/y - t^6.12/y - t^6.64/y - t^7.16/y - t^7.68/y - t^8.72/y - t^3.52*y - t^4.04*y - t^5.6*y - t^6.12*y - t^6.64*y - t^7.16*y - t^7.68*y - t^8.72*y + t^7.56*y^2 - t^8.6*y^2 | t^2.08/g2^4 + t^3.12/g2^6 + g2^5*t^3.4 + t^4.16/g2^8 + g2^3*t^4.44 + g2^2*t^4.96 + t^5.2/g2^10 + g2*t^5.48 + (g1^3*t^5.88)/g2^3 + (g2^15*t^5.88)/g1^3 - 2*t^6. + (2*t^6.24)/g2^12 + t^6.52/g2 + g2^10*t^6.8 + t^7.04/g2^2 + t^7.28/g2^14 + (3*t^7.56)/g2^3 + g2^8*t^7.84 + (2*t^8.32)/g2^16 - (g1^3*t^8.48)/g2^8 - (g2^10*t^8.48)/g1^3 + g2^6*t^8.88 + t^7.56/(g2^3*y^2) - t^8.6/(g2^5*y^2) - t^3.52/(g2*y) - t^4.04/(g2^2*y) - t^5.6/(g2^5*y) - t^6.12/(g2^6*y) - t^6.64/(g2^7*y) - t^7.16/(g2^8*y) - t^7.68/(g2^9*y) - t^8.72/(g2^11*y) - (t^3.52*y)/g2 - (t^4.04*y)/g2^2 - (t^5.6*y)/g2^5 - (t^6.12*y)/g2^6 - (t^6.64*y)/g2^7 - (t^7.16*y)/g2^8 - (t^7.68*y)/g2^9 - (t^8.72*y)/g2^11 + (t^7.56*y^2)/g2^3 - (t^8.6*y^2)/g2^5 |
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 |
---|---|---|---|---|---|---|---|---|---|
45773 | SU3adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 0.9243 | 0.9785 | 0.9447 | [X:[1.6535, 1.4802], M:[1.0396, 0.6931], q:[0.4802], qb:[0.4802], phi:[0.1733]] | t^2.08 + t^3.12 + t^3.4 + t^4.16 + t^4.44 + t^4.96 + t^5.2 + t^5.48 + 2*t^5.88 - 2*t^6. - t^3.52/y - t^4.04/y - t^5.6/y - t^3.52*y - t^4.04*y - t^5.6*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
57279 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9308 | 0.9942 | 0.9362 | [X:[1.6337, 1.4506], M:[0.7326], q:[0.4506, 1.1831], qb:[0.8169, 0.4506], phi:[0.1831]] | t^2.198 + t^2.703 + t^3.253 + t^4.352 + t^4.396 + 2*t^4.901 + t^5.407 + t^5.451 + 2*t^5.703 + t^5.956 - 2*t^6. - t^3.549/y - t^4.099/y - t^5.747/y - t^3.549*y - t^4.099*y - t^5.747*y | detail |