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 |
---|---|---|---|---|---|---|---|---|---|
57625 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3156 | 1.4962 | 0.8793 | [X:[1.348], M:[1.022], q:[0.3333, 0.7034], qb:[0.6446, 0.3627], phi:[0.326]] | [X:[[0, 2]], M:[[0, 3]], q:[[-1, 4], [-1, 9]], qb:[[1, -7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.09 + t^2.93 + 2*t^3.07 + t^3.2 + t^3.91 + 3*t^4.04 + 2*t^4.18 + 2*t^5.02 + 2*t^5.09 + 2*t^5.15 + t^5.29 + 2*t^5.93 + 2*t^6.07 + 6*t^6.13 + 2*t^6.2 + 4*t^6.26 + t^6.4 - t^6.85 + 2*t^6.98 + 7*t^7.11 + 2*t^7.18 + 7*t^7.24 + 2*t^7.37 - 2*t^7.89 + 2*t^7.96 + 6*t^8.09 + 4*t^8.15 + 9*t^8.22 + 4*t^8.29 + 5*t^8.35 + t^8.48 - 2*t^8.93 + t^8.93/y^2 - t^3.98/y - t^4.96/y - t^6.07/y - t^6.91/y - (2*t^7.04)/y - t^7.18/y - t^7.89/y - (2*t^8.02)/y + t^8.29/y - t^3.98*y - t^4.96*y - t^6.07*y - t^6.91*y - 2*t^7.04*y - t^7.18*y - t^7.89*y - 2*t^8.02*y + t^8.29*y + t^8.93*y^2 | g2^4*t^2.09 + t^2.93/g2^3 + 2*g2^3*t^3.07 + g2^9*t^3.2 + t^3.91/g2^4 + 3*g2^2*t^4.04 + 2*g2^8*t^4.18 + 2*g2*t^5.02 + (g1^3*t^5.09)/g2^8 + (g2^16*t^5.09)/g1^3 + 2*g2^7*t^5.15 + g2^13*t^5.29 + (g1^3*t^5.93)/g2^15 + (g2^9*t^5.93)/g1^3 + (g1^3*t^6.07)/g2^9 + (g2^15*t^6.07)/g1^3 + 6*g2^6*t^6.13 + (g1^3*t^6.2)/g2^3 + (g2^21*t^6.2)/g1^3 + 4*g2^12*t^6.26 + g2^18*t^6.4 - t^6.85/g2^7 + (2*t^6.98)/g2 + 7*g2^5*t^7.11 + (g1^3*t^7.18)/g2^4 + (g2^20*t^7.18)/g1^3 + 7*g2^11*t^7.24 + 2*g2^17*t^7.37 - (g1^3*t^7.89)/g2^17 - (g2^7*t^7.89)/g1^3 + (2*t^7.96)/g2^2 + 6*g2^4*t^8.09 + (2*g1^3*t^8.15)/g2^5 + (2*g2^19*t^8.15)/g1^3 + 9*g2^10*t^8.22 + 2*g1^3*g2*t^8.29 + (2*g2^25*t^8.29)/g1^3 + 5*g2^16*t^8.35 + g2^22*t^8.48 - (2*t^8.93)/g2^3 + t^8.93/(g2^3*y^2) - t^3.98/(g2*y) - t^4.96/(g2^2*y) - (g2^3*t^6.07)/y - t^6.91/(g2^4*y) - (2*g2^2*t^7.04)/y - (g2^8*t^7.18)/y - t^7.89/(g2^5*y) - (2*g2*t^8.02)/y + (g2^13*t^8.29)/y - (t^3.98*y)/g2 - (t^4.96*y)/g2^2 - g2^3*t^6.07*y - (t^6.91*y)/g2^4 - 2*g2^2*t^7.04*y - g2^8*t^7.18*y - (t^7.89*y)/g2^5 - 2*g2*t^8.02*y + g2^13*t^8.29*y + (t^8.93*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
60066 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3362 | 1.5364 | 0.8697 | [X:[1.347], M:[1.0204, 0.6939], q:[0.3333, 0.7007], qb:[0.6462, 0.3606], phi:[0.3265]] | 2*t^2.08 + t^2.94 + 2*t^3.06 + t^3.18 + 3*t^4.04 + 4*t^4.16 + 3*t^5.02 + 2*t^5.08 + 4*t^5.14 + 2*t^5.27 + 2*t^5.94 - t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
60602 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{3}q_{1}^{3}$ | 1.3153 | 1.4965 | 0.8789 | [X:[1.3468], M:[1.0202], q:[0.3401, 0.7072], qb:[0.6397, 0.3536], phi:[0.3266]] | t^2.08 + t^2.94 + 2*t^3.06 + t^3.18 + t^3.92 + 3*t^4.04 + 2*t^4.16 + 3*t^5.02 + 3*t^5.14 + t^5.26 + t^5.88 + 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*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 |
---|---|---|---|---|---|---|---|---|---|
47931 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3411 | 1.5094 | 0.8885 | [X:[1.4098], M:[0.848], q:[0.4222, 0.68], qb:[0.7297, 0.3974], phi:[0.2951]] | t^2.459 + t^2.544 + t^2.656 + t^3.232 + t^3.344 + t^4.117 + 3*t^4.229 + t^4.341 + t^4.917 + t^5.003 + t^5.088 + 2*t^5.115 + t^5.2 + t^5.312 + 2*t^5.459 + t^5.691 + t^5.776 + t^5.803 + t^5.888 - 2*t^6. - t^3.885/y - t^4.771/y - t^3.885*y - t^4.771*y | detail |