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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60069 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 1.1226 | 1.2599 | 0.891 | [X:[1.5118], M:[0.7322], q:[0.7978, 0.357], qb:[0.4226, 0.9581], phi:[0.2441]] | [X:[[2]], M:[[-3]], q:[[-6], [4]], qb:[[1], [7]], phi:[[-1]]] | 1 | {a: 300763/267912, c: 168773/133956, X1: 830/549, M1: 134/183, q1: 146/183, q2: 196/549, qb1: 232/549, qb2: 526/549, phi1: 134/549} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | 2*t^2.2 + t^2.34 + t^3.07 + t^3.66 + t^3.95 + 3*t^4.39 + 3*t^4.54 + t^4.68 + 4*t^5.27 + 2*t^5.41 + t^5.86 - t^6. + 3*t^6.14 + t^6.28 + 4*t^6.59 + 5*t^6.73 + 3*t^6.87 + 2*t^7.02 + 5*t^7.46 + 5*t^7.61 + 2*t^7.75 + t^7.89 + t^8.05 - 2*t^8.2 + 3*t^8.34 + 5*t^8.48 + t^8.62 + 5*t^8.79 + 2*t^8.93 + t^8.2/y^2 - (2*t^8.93)/y^2 - t^3.73/y - t^4.46/y - (2*t^5.93)/y - t^6.07/y - (2*t^6.66)/y - t^6.8/y + (2*t^7.54)/y - t^7.68/y - (3*t^8.13)/y + t^8.27/y - t^8.86/y - t^3.73*y - t^4.46*y - 2*t^5.93*y - t^6.07*y - 2*t^6.66*y - t^6.8*y + 2*t^7.54*y - t^7.68*y - 3*t^8.13*y + t^8.27*y - t^8.86*y + t^8.2*y^2 - 2*t^8.93*y^2 | (2*t^2.2)/g1^3 + g1^5*t^2.34 + g1^4*t^3.07 + t^3.66/g1^5 + g1^11*t^3.95 + (3*t^4.39)/g1^6 + 3*g1^2*t^4.54 + g1^10*t^4.68 + 4*g1*t^5.27 + 2*g1^9*t^5.41 + t^5.86/g1^8 - t^6. + 3*g1^8*t^6.14 + g1^16*t^6.28 + (4*t^6.59)/g1^9 + (5*t^6.73)/g1 + 3*g1^7*t^6.87 + 2*g1^15*t^7.02 + (5*t^7.46)/g1^2 + 5*g1^6*t^7.61 + 2*g1^14*t^7.75 + g1^22*t^7.89 + t^8.05/g1^11 - (2*t^8.2)/g1^3 + 3*g1^5*t^8.34 + 5*g1^13*t^8.48 + g1^21*t^8.62 + (5*t^8.79)/g1^12 + (2*t^8.93)/g1^4 + t^8.2/(g1^3*y^2) - (2*t^8.93)/(g1^4*y^2) - t^3.73/(g1*y) - t^4.46/(g1^2*y) - (2*t^5.93)/(g1^4*y) - (g1^4*t^6.07)/y - (2*t^6.66)/(g1^5*y) - (g1^3*t^6.8)/y + (2*g1^2*t^7.54)/y - (g1^10*t^7.68)/y - (3*t^8.13)/(g1^7*y) + (g1*t^8.27)/y - t^8.86/(g1^8*y) - (t^3.73*y)/g1 - (t^4.46*y)/g1^2 - (2*t^5.93*y)/g1^4 - g1^4*t^6.07*y - (2*t^6.66*y)/g1^5 - g1^3*t^6.8*y + 2*g1^2*t^7.54*y - g1^10*t^7.68*y - (3*t^8.13*y)/g1^7 + g1*t^8.27*y - (t^8.86*y)/g1^8 + (t^8.2*y^2)/g1^3 - (2*t^8.93*y^2)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|---|
57505 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.1288 | 1.2664 | 0.8913 | [X:[1.5105], M:[0.7342], q:[0.8426, 0.3951], qb:[0.3811, 0.9126], phi:[0.2447]] | 2*t^2.2 + t^2.33 + t^3.06 + t^3.67 + t^3.92 + 3*t^4.41 + 3*t^4.53 + t^4.66 + 3*t^5.27 + t^5.39 + 2*t^5.63 + 2*t^5.76 + t^5.87 - 2*t^6. - t^3.73/y - t^4.47/y - (2*t^5.94)/y - t^3.73*y - t^4.47*y - 2*t^5.94*y | detail | {a: 300763/266450, c: 674891/532900, X1: 1654/1095, M1: 268/365, q1: 2768/3285, q2: 1298/3285, qb1: 1252/3285, qb2: 2998/3285, phi1: 268/1095} |