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 |
---|---|---|---|---|---|---|---|---|---|
50904 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{6}$ | 0.5701 | 0.6954 | 0.8198 | [X:[1.6], M:[1.2, 0.4, 1.0048, 0.7903, 0.9952, 1.0048], q:[0.2976, 0.5024], qb:[0.7073, 0.8927], phi:[0.4]] | [X:[[0]], M:[[0], [0], [-2], [4], [2], [-2]], q:[[1], [-1]], qb:[[-3], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.371 + t^2.4 + 2*t^3.015 + t^3.571 + 2*t^3.6 + t^4.185 + t^4.215 + t^4.742 + t^4.771 + 2*t^4.8 + t^5.385 + t^5.415 + t^5.942 + 2*t^5.971 - t^6. + 2*t^6.029 + t^6.556 + t^6.585 + 2*t^6.615 + t^7.113 + 2*t^7.142 + 2*t^7.171 + 2*t^7.2 + 2*t^7.756 + 2*t^7.815 + t^8.313 + 2*t^8.342 + t^8.4 + t^8.927 - t^4.2/y - t^6.571/y + t^7.185/y - t^7.215/y + t^7.771/y + t^7.829/y + (2*t^8.385)/y + (2*t^8.415)/y + (3*t^8.971)/y - t^4.2*y - t^6.571*y + t^7.185*y - t^7.215*y + t^7.771*y + t^7.829*y + 2*t^8.385*y + 2*t^8.415*y + 3*t^8.971*y | g1^4*t^2.371 + t^2.4 + (2*t^3.015)/g1^2 + g1^4*t^3.571 + 2*t^3.6 + g1^2*t^4.185 + t^4.215/g1^2 + g1^8*t^4.742 + g1^4*t^4.771 + 2*t^4.8 + g1^2*t^5.385 + t^5.415/g1^2 + g1^8*t^5.942 + 2*g1^4*t^5.971 - t^6. + (2*t^6.029)/g1^4 + g1^6*t^6.556 + g1^2*t^6.585 + (2*t^6.615)/g1^2 + g1^12*t^7.113 + 2*g1^8*t^7.142 + 2*g1^4*t^7.171 + 2*t^7.2 + 2*g1^6*t^7.756 + (2*t^7.815)/g1^2 + g1^12*t^8.313 + 2*g1^8*t^8.342 + t^8.4 + g1^10*t^8.927 - t^4.2/y - (g1^4*t^6.571)/y + (g1^2*t^7.185)/y - t^7.215/(g1^2*y) + (g1^4*t^7.771)/y + t^7.829/(g1^4*y) + (2*g1^2*t^8.385)/y + (2*t^8.415)/(g1^2*y) + (3*g1^4*t^8.971)/y - t^4.2*y - g1^4*t^6.571*y + g1^2*t^7.185*y - (t^7.215*y)/g1^2 + g1^4*t^7.771*y + (t^7.829*y)/g1^4 + 2*g1^2*t^8.385*y + (2*t^8.415*y)/g1^2 + 3*g1^4*t^8.971*y |
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 |
---|---|---|---|---|---|---|---|---|
56135 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.5866 | 0.7244 | 0.8098 | [X:[1.6], M:[1.2, 0.4, 1.0048, 0.7903, 0.9952, 1.0048, 0.8], q:[0.2976, 0.5024], qb:[0.7073, 0.8927], phi:[0.4]] | t^2.371 + 2*t^2.4 + 2*t^3.015 + t^3.571 + t^3.6 + t^4.185 + t^4.215 + t^4.742 + 2*t^4.771 + 4*t^4.8 + t^5.385 + 3*t^5.415 + t^5.942 + 2*t^5.971 - t^6. - t^4.2/y - t^4.2*y | detail | |
56134 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.5872 | 0.7255 | 0.8093 | [X:[1.6], M:[1.2, 0.4, 0.9861, 0.8277, 1.0139, 0.9861, 0.7723], q:[0.3069, 0.4931], qb:[0.6792, 0.9208], phi:[0.4]] | t^2.317 + t^2.4 + t^2.483 + 2*t^2.958 + 2*t^3.6 + t^4.158 + t^4.242 + t^4.634 + t^4.717 + 3*t^4.8 + t^4.883 + t^4.966 + 2*t^5.275 + t^5.358 + t^5.442 + 4*t^5.917 - t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
48149 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.5713 | 0.699 | 0.8173 | [X:[1.6], M:[1.2, 0.4, 1.0216, 0.7567, 0.9784], q:[0.2892, 0.5108], qb:[0.7325, 0.8675], phi:[0.4]] | t^2.27 + t^2.4 + t^2.935 + t^3.065 + t^3.47 + 2*t^3.6 + t^4.135 + t^4.265 + t^4.54 + t^4.67 + 2*t^4.8 + t^5.205 + t^5.335 + t^5.74 + 3*t^5.87 - t^4.2/y - t^4.2*y | detail |