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 |
---|---|---|---|---|---|---|---|---|---|
58547 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8804 | 0.9037 | 0.9742 | [X:[1.695, 1.5424], M:[0.9151], q:[0.469, 1.3842], qb:[0.6158, 0.6158], phi:[0.1525]] | [X:[[6], [9]], M:[[-18]], q:[[17], [-1]], qb:[[1], [1]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}q_{2}\tilde{q}_{2}$ | -2 | t^2.75 + t^3.71 + t^4.17 + t^4.63 + t^5.08 + t^5.49 + t^5.59 - 2*t^6. + 2*t^6.92 + 2*t^7.37 + 2*t^7.83 + t^8.24 + t^8.29 + 2*t^8.34 - 2*t^8.75 + t^8.8 + t^7.37/y^2 - t^3.46/y - t^3.92/y - t^6.2/y - t^6.66/y - t^7.63/y - t^8.08/y - t^8.54/y - t^8.95/y - t^3.46*y - t^3.92*y - t^6.2*y - t^6.66*y - t^7.63*y - t^8.08*y - t^8.54*y - t^8.95*y + t^7.37*y^2 | t^2.75/g1^18 + g1^15*t^3.71 + g1^12*t^4.17 + g1^9*t^4.63 + g1^6*t^5.08 + t^5.49/g1^36 + g1^42*t^5.59 - 2*t^6. + (2*t^6.92)/g1^6 + (2*t^7.37)/g1^9 + (2*t^7.83)/g1^12 + t^8.24/g1^54 + t^8.29/g1^15 + 2*g1^24*t^8.34 - (2*t^8.75)/g1^18 + g1^21*t^8.8 + t^7.37/(g1^9*y^2) - t^3.46/(g1^3*y) - t^3.92/(g1^6*y) - t^6.2/(g1^21*y) - t^6.66/(g1^24*y) - (g1^9*t^7.63)/y - (g1^6*t^8.08)/y - (g1^3*t^8.54)/y - t^8.95/(g1^39*y) - (t^3.46*y)/g1^3 - (t^3.92*y)/g1^6 - (t^6.2*y)/g1^21 - (t^6.66*y)/g1^24 - g1^9*t^7.63*y - g1^6*t^8.08*y - g1^3*t^8.54*y - (t^8.95*y)/g1^39 + (t^7.37*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
61250 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}M_{2}$ | 0.8742 | 0.8978 | 0.9737 | [X:[1.683, 1.5245], M:[0.951, 1.049], q:[0.4351, 1.3862], qb:[0.6138, 0.6138], phi:[0.1585]] | t^3.15 + t^3.62 + t^4.1 + t^4.57 + t^5.05 + t^5.34 - 2*t^6. - t^3.48/y - t^3.95/y - t^3.48*y - t^3.95*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 |
---|---|---|---|---|---|---|---|---|---|
57392 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.446 | 1.6242 | 0.8902 | [X:[1.37], M:[0.9275], q:[0.5108, 0.476], qb:[0.5617, 0.5617], phi:[0.315]] | t^2.783 + t^2.835 + 2*t^3.113 + t^3.217 + 2*t^4.058 + t^4.11 + 2*t^4.162 + 2*t^5.003 + 2*t^5.107 + t^5.333 + t^5.438 + t^5.565 + t^5.618 + t^5.67 + t^5.896 + 2*t^5.948 - 3*t^6. - t^3.945/y - t^4.89/y - t^3.945*y - t^4.89*y | detail |