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 |
---|---|---|---|---|---|---|---|---|---|
58943 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ | 1.1425 | 1.3479 | 0.8476 | [X:[1.6], M:[1.1128], q:[0.6957, 0.2086], qb:[0.1914, 0.5043], phi:[0.4]] | [X:[[0]], M:[[3]], q:[[-1], [2]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 5 | t^2.14 + 2*t^2.4 + 2*t^3.34 + 3*t^3.6 + 2*t^3.86 + t^4.28 + 3*t^4.54 + 6*t^4.8 + t^5.06 + t^5.32 + 3*t^5.48 + 7*t^5.74 + 5*t^6. + 3*t^6.26 + t^6.42 + 6*t^6.68 + 11*t^6.94 + 14*t^7.2 + 2*t^7.46 + 3*t^7.62 + 3*t^7.72 + 9*t^7.88 + 14*t^8.14 + 9*t^8.4 + t^8.55 + 6*t^8.66 + 8*t^8.82 + 2*t^8.92 - t^4.2/y - t^5.4/y - t^6.34/y - t^6.6/y - (2*t^7.8)/y + t^8.48/y + (5*t^8.74)/y - t^4.2*y - t^5.4*y - t^6.34*y - t^6.6*y - 2*t^7.8*y + t^8.48*y + 5*t^8.74*y | g1^3*t^2.14 + 2*t^2.4 + 2*g1^3*t^3.34 + 3*t^3.6 + (2*t^3.86)/g1^3 + g1^6*t^4.28 + 3*g1^3*t^4.54 + 6*t^4.8 + t^5.06/g1^3 + t^5.32/g1^6 + 3*g1^6*t^5.48 + 7*g1^3*t^5.74 + 5*t^6. + (3*t^6.26)/g1^3 + g1^9*t^6.42 + 6*g1^6*t^6.68 + 11*g1^3*t^6.94 + 14*t^7.2 + (2*t^7.46)/g1^3 + 3*g1^9*t^7.62 + (3*t^7.72)/g1^6 + 9*g1^6*t^7.88 + 14*g1^3*t^8.14 + 9*t^8.4 + g1^12*t^8.55 + (6*t^8.66)/g1^3 + 8*g1^9*t^8.82 + (2*t^8.92)/g1^6 - t^4.2/y - t^5.4/y - (g1^3*t^6.34)/y - t^6.6/y - (2*t^7.8)/y + (g1^6*t^8.48)/y + (5*g1^3*t^8.74)/y - t^4.2*y - t^5.4*y - g1^3*t^6.34*y - t^6.6*y - 2*t^7.8*y + g1^6*t^8.48*y + 5*g1^3*t^8.74*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 |
---|---|---|---|---|---|---|---|---|
60987 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.159 | 1.3769 | 0.8417 | [X:[1.6], M:[1.1128, 0.8], q:[0.6957, 0.2086], qb:[0.1914, 0.5043], phi:[0.4]] | t^2.14 + 3*t^2.4 + 2*t^3.34 + 2*t^3.6 + 2*t^3.86 + t^4.28 + 4*t^4.54 + 9*t^4.8 + t^5.06 + t^5.32 + 3*t^5.48 + 8*t^5.74 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
---|---|---|---|---|---|---|---|---|---|
57441 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3154 | 1.5597 | 0.8434 | [M:[1.0922], q:[0.597, 0.4059], qb:[0.3107, 0.2863], phi:[0.4]] | t^2.077 + t^2.15 + t^2.4 + t^2.65 + 2*t^3.277 + t^3.35 + t^3.6 + 2*t^3.85 + 2*t^3.923 + t^4.153 + t^4.227 + t^4.3 + 2*t^4.477 + 2*t^4.55 + t^4.727 + 2*t^4.8 + 3*t^5.05 + 2*t^5.123 + t^5.3 + 2*t^5.353 + 3*t^5.427 + t^5.5 + 3*t^5.677 + 2*t^5.75 + 3*t^5.927 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |