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 |
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56134 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 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]] | [X:[[0]], M:[[0], [0], [-2], [4], [2], [-2], [-4]], q:[[1], [-1]], qb:[[-3], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | 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^6.083 + t^6.475 + 3*t^6.558 - t^6.642 + t^6.725 + t^6.95 + t^7.034 + 3*t^7.117 + 3*t^7.2 + t^7.283 + t^7.366 + t^7.45 + 2*t^7.592 + t^7.675 + 3*t^7.758 - t^7.842 + t^7.925 + 4*t^8.234 - t^8.317 + 2*t^8.4 - 2*t^8.483 + t^8.566 + t^8.792 + 5*t^8.875 - 4*t^8.958 - t^4.2/y - t^6.517/y - t^6.683/y - t^7.158/y + t^7.242/y + (2*t^7.717)/y + t^7.8/y + (2*t^7.883)/y + (2*t^8.275)/y + (2*t^8.358)/y + (2*t^8.442)/y - t^8.834/y + (3*t^8.917)/y - t^4.2*y - t^6.517*y - t^6.683*y - t^7.158*y + t^7.242*y + 2*t^7.717*y + t^7.8*y + 2*t^7.883*y + 2*t^8.275*y + 2*t^8.358*y + 2*t^8.442*y - t^8.834*y + 3*t^8.917*y | t^2.317/g1^4 + t^2.4 + g1^4*t^2.483 + (2*t^2.958)/g1^2 + 2*t^3.6 + t^4.158/g1^2 + g1^2*t^4.242 + t^4.634/g1^8 + t^4.717/g1^4 + 3*t^4.8 + g1^4*t^4.883 + g1^8*t^4.966 + (2*t^5.275)/g1^6 + t^5.358/g1^2 + g1^2*t^5.442 + (4*t^5.917)/g1^4 - t^6. + g1^4*t^6.083 + t^6.475/g1^6 + (3*t^6.558)/g1^2 - g1^2*t^6.642 + g1^6*t^6.725 + t^6.95/g1^12 + t^7.034/g1^8 + (3*t^7.117)/g1^4 + 3*t^7.2 + g1^4*t^7.283 + g1^8*t^7.366 + g1^12*t^7.45 + (2*t^7.592)/g1^10 + t^7.675/g1^6 + (3*t^7.758)/g1^2 - g1^2*t^7.842 + g1^6*t^7.925 + (4*t^8.234)/g1^8 - t^8.317/g1^4 + 2*t^8.4 - 2*g1^4*t^8.483 + g1^8*t^8.566 + t^8.792/g1^10 + (5*t^8.875)/g1^6 - (4*t^8.958)/g1^2 - t^4.2/y - t^6.517/(g1^4*y) - (g1^4*t^6.683)/y - t^7.158/(g1^2*y) + (g1^2*t^7.242)/y + (2*t^7.717)/(g1^4*y) + t^7.8/y + (2*g1^4*t^7.883)/y + (2*t^8.275)/(g1^6*y) + (2*t^8.358)/(g1^2*y) + (2*g1^2*t^8.442)/y - t^8.834/(g1^8*y) + (3*t^8.917)/(g1^4*y) - t^4.2*y - (t^6.517*y)/g1^4 - g1^4*t^6.683*y - (t^7.158*y)/g1^2 + g1^2*t^7.242*y + (2*t^7.717*y)/g1^4 + t^7.8*y + 2*g1^4*t^7.883*y + (2*t^8.275*y)/g1^6 + (2*t^8.358*y)/g1^2 + 2*g1^2*t^8.442*y - (t^8.834*y)/g1^8 + (3*t^8.917*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
58300 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$ | 0.6037 | 0.7545 | 0.8 | [X:[1.6], M:[1.2, 0.4, 0.9861, 0.8277, 1.0139, 0.9861, 0.7723, 0.8], q:[0.3069, 0.4931], qb:[0.6792, 0.9208], phi:[0.4]] | t^2.317 + 2*t^2.4 + t^2.483 + 2*t^2.958 + t^3.6 + t^4.158 + t^4.242 + t^4.634 + 2*t^4.717 + 5*t^4.8 + 2*t^4.883 + t^4.966 + 2*t^5.275 + 3*t^5.358 + t^5.442 + 3*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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. - t^4.2/y - t^4.2*y | detail |