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 |
---|---|---|---|---|---|---|---|---|---|
58435 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 1.2101 | 1.4115 | 0.8573 | [X:[1.423, 1.377], M:[0.977], q:[0.1333, 0.5333], qb:[0.4897, 0.4436], phi:[0.4]] | [X:[[-1], [1]], M:[[1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.4 + 3*t^2.93 + t^3.07 + 2*t^3.6 + 3*t^4.13 + 3*t^4.27 + 3*t^4.8 + 5*t^5.33 + 3*t^5.47 + 5*t^5.86 + 2*t^6. + 7*t^6.53 + 3*t^6.67 + 8*t^7.06 + 10*t^7.2 + 2*t^7.34 + t^7.59 + 11*t^7.73 + 5*t^7.87 + t^8.01 + 15*t^8.26 + 12*t^8.4 + 6*t^8.54 + 7*t^8.79 + 3*t^8.93 - t^4.2/y - t^5.4/y - t^6.6/y - (2*t^7.13)/y - t^7.8/y - t^8.33/y - t^8.47/y + (3*t^8.86)/y - t^4.2*y - t^5.4*y - t^6.6*y - 2*t^7.13*y - t^7.8*y - t^8.33*y - t^8.47*y + 3*t^8.86*y | t^2.4 + 3*g1*t^2.93 + t^3.07/g1 + 2*t^3.6 + 3*g1*t^4.13 + (3*t^4.27)/g1 + 3*t^4.8 + 5*g1*t^5.33 + (3*t^5.47)/g1 + 5*g1^2*t^5.86 + 2*t^6. + 7*g1*t^6.53 + (3*t^6.67)/g1 + 8*g1^2*t^7.06 + 10*t^7.2 + (2*t^7.34)/g1^2 + g1^3*t^7.59 + 11*g1*t^7.73 + (5*t^7.87)/g1 + t^8.01/g1^3 + 15*g1^2*t^8.26 + 12*t^8.4 + (6*t^8.54)/g1^2 + 7*g1^3*t^8.79 + 3*g1*t^8.93 - t^4.2/y - t^5.4/y - t^6.6/y - (2*g1*t^7.13)/y - t^7.8/y - (g1*t^8.33)/y - t^8.47/(g1*y) + (3*g1^2*t^8.86)/y - t^4.2*y - t^5.4*y - t^6.6*y - 2*g1*t^7.13*y - t^7.8*y - g1*t^8.33*y - (t^8.47*y)/g1 + 3*g1^2*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
61142 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.2133 | 1.419 | 0.855 | [X:[1.4454, 1.3546], M:[0.9546, 0.9546], q:[0.1333, 0.5333], qb:[0.5121, 0.4212], phi:[0.4]] | t^2.4 + 4*t^2.86 + 2*t^3.6 + 3*t^4.06 + 3*t^4.34 + 3*t^4.8 + 6*t^5.26 + 2*t^5.54 + 9*t^5.73 - 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 |
---|---|---|---|---|---|---|---|---|---|
57351 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.427 | 1.6905 | 0.8441 | [M:[0.7838], q:[0.4098, 0.3951], qb:[0.4065, 0.3887], phi:[0.4]] | 2*t^2.351 + t^2.395 + t^2.4 + t^2.405 + t^2.449 + t^3.551 + t^3.595 + t^3.6 + t^3.605 + 3*t^4.703 + 2*t^4.747 + 4*t^4.751 + 2*t^4.756 + t^4.791 + 2*t^4.795 + 5*t^4.8 + 3*t^4.805 + t^4.809 + 2*t^4.844 + 2*t^4.849 + t^4.853 + t^4.897 + 2*t^5.903 + 2*t^5.947 + 4*t^5.951 + 2*t^5.956 + t^5.991 + 2*t^5.995 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |