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 |
---|---|---|---|---|---|---|---|---|---|
57814 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.2908 | 1.4229 | 0.9072 | [X:[1.4339], M:[1.1322, 1.1509], q:[0.3899, 0.6729], qb:[0.478, 0.761], phi:[0.283]] | [X:[[0, 4]], M:[[0, -8], [0, 6]], q:[[1, 7], [-2, 4]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}$ | -4 | t^3.4 + 4*t^3.45 + 5*t^4.3 + t^5.15 + t^5.21 - 4*t^6. + 3*t^6.06 + t^6.79 + 10*t^6.91 + 2*t^7.7 + 15*t^7.75 - t^8.55 + 11*t^8.6 + 4*t^8.66 + t^8.55/y^2 - t^3.85/y - t^4.7/y - t^7.25/y - (3*t^7.3)/y - t^8.09/y - (5*t^8.15)/y - t^3.85*y - t^4.7*y - t^7.25*y - 3*t^7.3*y - t^8.09*y - 5*t^8.15*y + t^8.55*y^2 | t^3.4/g2^8 + (g2^5*t^3.45)/g1^3 + 2*g2^6*t^3.45 + g1^3*g2^7*t^3.45 + (g2^3*t^4.3)/g1^3 + 3*g2^4*t^4.3 + g1^3*g2^5*t^4.3 + g2^2*t^5.15 + g2^16*t^5.21 - 2*t^6. - t^6./(g1^3*g2) - g1^3*g2*t^6. + (g2^13*t^6.06)/g1^3 + g2^14*t^6.06 + g1^3*g2^15*t^6.06 + t^6.79/g2^16 + (g2^10*t^6.91)/g1^6 + (2*g2^11*t^6.91)/g1^3 + 4*g2^12*t^6.91 + 2*g1^3*g2^13*t^6.91 + g1^6*g2^14*t^6.91 + (2*t^7.7)/g2^4 + (g2^8*t^7.75)/g1^6 + (4*g2^9*t^7.75)/g1^3 + 5*g2^10*t^7.75 + 4*g1^3*g2^11*t^7.75 + g1^6*g2^12*t^7.75 - t^8.55/(g1^3*g2^7) + t^8.55/g2^6 - (g1^3*t^8.55)/g2^5 + (g2^6*t^8.6)/g1^6 + (2*g2^7*t^8.6)/g1^3 + 5*g2^8*t^8.6 + 2*g1^3*g2^9*t^8.6 + g1^6*g2^10*t^8.6 + (g2^21*t^8.66)/g1^3 + 2*g2^22*t^8.66 + g1^3*g2^23*t^8.66 + t^8.55/(g2^6*y^2) - t^3.85/(g2^2*y) - t^4.7/(g2^4*y) - t^7.25/(g2^10*y) - (g2^3*t^7.3)/(g1^3*y) - (g2^4*t^7.3)/y - (g1^3*g2^5*t^7.3)/y - t^8.09/(g2^12*y) - (g2*t^8.15)/(g1^3*y) - (3*g2^2*t^8.15)/y - (g1^3*g2^3*t^8.15)/y - (t^3.85*y)/g2^2 - (t^4.7*y)/g2^4 - (t^7.25*y)/g2^10 - (g2^3*t^7.3*y)/g1^3 - g2^4*t^7.3*y - g1^3*g2^5*t^7.3*y - (t^8.09*y)/g2^12 - (g2*t^8.15*y)/g1^3 - 3*g2^2*t^8.15*y - g1^3*g2^3*t^8.15*y + (t^8.55*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
57287 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3045 | 1.4437 | 0.9036 | [X:[1.4433], M:[1.1133], q:[0.4056, 0.6839], qb:[0.4811, 0.7594], phi:[0.2783]] | t^2.505 + t^3.34 + 3*t^3.495 + 5*t^4.33 + t^5.01 + t^5.165 + t^5.32 + t^5.845 - t^6. - t^3.835/y - t^4.67/y - t^3.835*y - t^4.67*y | detail |