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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59373 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.26 | 1.41 | 0.8936 | [X:[1.4667], M:[0.8], q:[0.5778, 0.5778], qb:[0.8889, 0.3556], phi:[0.2667]] | [X:[[6]], M:[[-9]], q:[[1], [1]], qb:[[5], [11]], phi:[[-3]]] | 1 | {a: 63/50, c: 141/100, X1: 22/15, M1: 4/5, q1: 26/45, q2: 26/45, qb1: 8/9, qb2: 16/45, phi1: 4/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | -1 | 2*t^2.4 + 2*t^2.8 + t^3.6 + 4*t^4.4 + 3*t^4.8 + 5*t^5.2 + 5*t^5.6 - t^6. + 3*t^6.4 + 4*t^6.8 + 13*t^7.2 + 5*t^7.6 + 11*t^8. + 4*t^8.4 + 3*t^8.8 + t^8.4/y^2 - t^3.8/y - t^4.6/y - (2*t^6.2)/y - (2*t^6.6)/y - (2*t^7.)/y - t^7.4/y + t^7.8/y + (2*t^8.2)/y - (2*t^8.6)/y - t^3.8*y - t^4.6*y - 2*t^6.2*y - 2*t^6.6*y - 2*t^7.*y - t^7.4*y + t^7.8*y + 2*t^8.2*y - 2*t^8.6*y + t^8.4*y^2 | (2*t^2.4)/g1^9 + 2*g1^12*t^2.8 + g1^9*t^3.6 + 4*g1^6*t^4.4 + (3*t^4.8)/g1^18 + 5*g1^3*t^5.2 + 5*g1^24*t^5.6 - t^6. + 3*g1^21*t^6.4 + (4*t^6.8)/g1^3 + (4*t^7.2)/g1^27 + 9*g1^18*t^7.2 + (5*t^7.6)/g1^6 + 11*g1^15*t^8. - (4*t^8.4)/g1^9 + 8*g1^36*t^8.4 + 3*g1^12*t^8.8 + t^8.4/(g1^9*y^2) - t^3.8/(g1^3*y) - t^4.6/(g1^6*y) - (2*t^6.2)/(g1^12*y) - (2*g1^9*t^6.6)/y - (2*t^7.)/(g1^15*y) - (g1^6*t^7.4)/y + t^7.8/(g1^18*y) + (2*g1^3*t^8.2)/y - (3*t^8.6)/(g1^21*y) + (g1^24*t^8.6)/y - (t^3.8*y)/g1^3 - (t^4.6*y)/g1^6 - (2*t^6.2*y)/g1^12 - 2*g1^9*t^6.6*y - (2*t^7.*y)/g1^15 - g1^6*t^7.4*y + (t^7.8*y)/g1^18 + 2*g1^3*t^8.2*y - (3*t^8.6*y)/g1^21 + g1^24*t^8.6*y + (t^8.4*y^2)/g1^9 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57632 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.3357 | 1.5044 | 0.8879 | [X:[1.4001], M:[0.8998], q:[0.6555, 0.389], qb:[0.7446, 0.4113], phi:[0.2999]] | t^2.4 + 2*t^2.7 + t^3.2 + t^3.4 + t^4.1 + 3*t^4.2 + t^4.3 + t^4.8 + 3*t^5.1 + t^5.2 + 3*t^5.4 + 2*t^5.6 + t^5.8 + t^5.9 - 2*t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail |