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 |
---|---|---|---|---|---|---|---|---|---|
1719 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.597 | 0.722 | 0.8269 | [X:[1.6], M:[0.4, 1.2, 0.8], q:[0.8, 0.8], qb:[0.4, 0.4], phi:[0.4]] | [X:[[0, 0]], M:[[0, 0], [0, 0], [0, 0]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]] | 2 | {a: 597/1000, c: 361/500, X1: 8/5, M1: 2/5, M2: 6/5, M3: 4/5, q1: 4/5, q2: 4/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$ | ${}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 5 | 2*t^2.4 + 7*t^3.6 + 4*t^4.8 + 5*t^6. + 17*t^7.2 + 3*t^8.4 - t^4.2/y - t^6.6/y + (2*t^7.8)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y | 2*t^2.4 + t^3.6 + t^3.6/g2^2 + t^3.6/(g1*g2) + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + g1*g2*t^3.6 + g2^2*t^3.6 + 4*t^4.8 - t^6. + t^6./g2^2 + t^6./(g1*g2) + (g1*t^6.)/g2 + (g2*t^6.)/g1 + g1*g2*t^6. + g2^2*t^6. + 5*t^7.2 + t^7.2/g1^2 + g1^2*t^7.2 + t^7.2/g2^4 + t^7.2/(g1*g2^3) + (g1*t^7.2)/g2^3 + t^7.2/(g1^2*g2^2) + (g1^2*t^7.2)/g2^2 + (g2^2*t^7.2)/g1^2 + g1^2*g2^2*t^7.2 + (g2^3*t^7.2)/g1 + g1*g2^3*t^7.2 + g2^4*t^7.2 - 3*t^8.4 + t^8.4/g2^2 + t^8.4/(g1*g2) + (g1*t^8.4)/g2 + (g2*t^8.4)/g1 + g1*g2*t^8.4 + g2^2*t^8.4 - t^4.2/y - t^6.6/y + (2*t^7.8)/y - t^4.2*y - t^6.6*y + 2*t^7.8*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 |
---|---|---|---|---|---|---|---|---|
2722 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6148 | 0.755 | 0.8143 | [X:[1.6], M:[0.4, 1.2, 0.8, 0.7567], q:[0.8325, 0.7675], qb:[0.4108, 0.3892], phi:[0.4]] | t^2.27 + 2*t^2.4 + t^3.47 + 2*t^3.535 + t^3.6 + 2*t^3.665 + t^4.54 + 2*t^4.67 + 4*t^4.8 + t^5.74 + 2*t^5.805 + 2*t^5.87 + 4*t^5.935 - 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 |
---|---|---|---|---|---|---|---|---|---|
136 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.7087 | 0.8668 | 0.8176 | [M:[0.8239, 1.0587, 0.9413], q:[0.588, 0.588], qb:[0.4707, 0.4707], phi:[0.4707]] | t^2.472 + 2*t^2.824 + 4*t^3.176 + 3*t^4.236 + 4*t^4.588 + 3*t^4.94 + t^4.943 + 2*t^5.296 + 3*t^5.648 - t^4.412/y - t^4.412*y | detail |