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 |
---|---|---|---|---|---|---|---|---|---|
1944 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ | 0.5535 | 0.666 | 0.8311 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | [X:[[0], [1]], M:[[0], [0], [-1], [1], [-1]], q:[[0], [0]], qb:[[1], [-1]], phi:[[0]]] | 1 | {a: 1107/2000, c: 333/500, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}^{2}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 2 | t^2.4 + 2*t^3. + 4*t^3.6 + 2*t^4.2 + 2*t^4.8 + 2*t^6. + 4*t^6.6 + 7*t^7.2 + 4*t^7.8 + 2*t^8.4 - t^4.2/y + (2*t^8.4)/y - t^4.2*y + 2*t^8.4*y | t^2.4 + t^3./g1 + g1*t^3. + 2*t^3.6 + t^3.6/g1^2 + g1^2*t^3.6 + t^4.2/g1 + g1*t^4.2 + 2*t^4.8 + t^6./g1^2 + g1^2*t^6. + t^6.6/g1^3 + t^6.6/g1 + g1*t^6.6 + g1^3*t^6.6 + 3*t^7.2 + t^7.2/g1^4 + t^7.2/g1^2 + g1^2*t^7.2 + g1^4*t^7.2 + t^7.8/g1^3 + t^7.8/g1 + g1*t^7.8 + g1^3*t^7.8 + t^8.4/g1^2 + g1^2*t^8.4 - t^4.2/y + t^8.4/(g1*y) + (g1*t^8.4)/y - t^4.2*y + (t^8.4*y)/g1 + g1*t^8.4*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 |
---|---|---|---|---|---|---|---|---|
2981 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5713 | 0.699 | 0.8173 | [X:[1.6, 1.4216], M:[0.4, 1.2, 0.5784, 1.0216, 0.9784, 0.7567], q:[1.0, 0.6], qb:[0.4216, 0.3784], 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 |
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 |
---|---|---|---|---|---|---|---|---|---|
600 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.8432, 1.0523, 0.8729, 1.0226, 0.9774], q:[0.6307, 0.5261], qb:[0.4964, 0.4513], phi:[0.4739]] | t^2.53 + t^2.619 + t^2.843 + t^2.932 + t^3.068 + t^3.157 + t^3.246 + t^4.129 + t^4.265 + t^4.354 + t^4.4 + t^4.489 + t^4.578 + t^4.668 + t^4.803 + t^4.892 + t^5.059 + t^5.148 + t^5.206 + t^5.237 + t^5.373 + t^5.462 + t^5.551 + 2*t^5.686 + 2*t^5.776 + t^5.865 - 2*t^6. - t^4.422/y - t^4.422*y | detail |