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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58618 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.0051 | 1.2244 | 0.8209 | [X:[1.509, 1.509, 1.491, 1.491], M:[0.7485, 0.7425], q:[0.2505, 0.2505], qb:[0.2406, 0.2585], phi:[0.5]] | [X:[[0, -1], [0, -1], [0, 1], [0, 1]], M:[[3, 3], [-3, -2]], q:[[-1, -1], [-1, -1]], qb:[[1, 2], [1, 0]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }X_{4}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ | ${}M_{1}\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.23 + t^2.25 + 2*t^2.97 + t^3. + 2*t^3.03 + t^3.72 + t^3.75 + t^4.46 + 5*t^4.47 + t^4.49 + t^4.5 + 4*t^4.53 + 2*t^5.2 + 3*t^5.22 + t^5.23 + 5*t^5.25 + 3*t^5.27 + 3*t^5.95 + t^5.96 + t^5.98 - t^6. + 2*t^6.05 + t^6.67 + t^6.68 + 2*t^6.69 + 5*t^6.7 + 6*t^6.72 + t^6.73 + t^6.74 + 6*t^6.75 + 4*t^6.77 + t^6.83 + 2*t^7.43 + t^7.44 + 10*t^7.45 + 4*t^7.46 + 4*t^7.47 + 4*t^7.48 + t^7.49 + 16*t^7.5 + t^7.51 + 3*t^7.52 + 2*t^7.53 + 7*t^7.55 + 2*t^8.17 + 5*t^8.19 + 2*t^8.21 - t^8.23 - 4*t^8.25 - t^8.27 + 2*t^8.28 - t^8.33 + t^8.89 + 2*t^8.91 + 4*t^8.92 + 5*t^8.93 + 3*t^8.94 + 13*t^8.95 + 7*t^8.96 - 10*t^8.97 + 8*t^8.98 - t^4.5/y - t^6./y - t^6.73/y - t^6.75/y + t^7.47/y + t^7.5/y + (2*t^8.2)/y + (2*t^8.22)/y + (3*t^8.25)/y + (3*t^8.27)/y + (2*t^8.95)/y - (3*t^8.97)/y + t^8.98/y - t^8.99/y - t^4.5*y - t^6.*y - t^6.73*y - t^6.75*y + t^7.47*y + t^7.5*y + 2*t^8.2*y + 2*t^8.22*y + 3*t^8.25*y + 3*t^8.27*y + 2*t^8.95*y - 3*t^8.97*y + t^8.98*y - t^8.99*y | t^2.23/(g1^3*g2^2) + g1^3*g2^3*t^2.25 + 2*g2*t^2.97 + t^3. + (2*t^3.03)/g2 + g1^3*g2^4*t^3.72 + t^3.75/(g1^3*g2^3) + t^4.46/(g1^6*g2^4) + 5*g2*t^4.47 + g1^6*g2^6*t^4.49 + t^4.5 + (4*t^4.53)/g2 + (2*t^5.2)/(g1^3*g2) + 3*g1^3*g2^4*t^5.22 + t^5.23/(g1^3*g2^2) + (4*t^5.25)/(g1^3*g2^3) + g1^3*g2^3*t^5.25 + 3*g1^3*g2^2*t^5.27 + 3*g2^2*t^5.95 + g1^6*g2^7*t^5.96 + t^5.98/(g1^6*g2^5) - t^6. + (2*t^6.05)/g2^2 + g1^3*g2^6*t^6.67 + t^6.68/(g1^9*g2^6) + 2*g1^3*g2^5*t^6.69 + (5*t^6.7)/(g1^3*g2) + 6*g1^3*g2^4*t^6.72 + t^6.73/(g1^3*g2^2) + g1^9*g2^9*t^6.74 + (7*t^6.75)/(g1^3*g2^3) - g1^3*g2^3*t^6.75 + 4*g1^3*g2^2*t^6.77 + g1^3*t^6.83 + (2*t^7.43)/(g1^6*g2^3) + g1^6*g2^8*t^7.44 + 10*g2^2*t^7.45 + t^7.46/(g1^6*g2^4) + 3*g1^6*g2^7*t^7.46 + 4*g2*t^7.47 + (4*t^7.48)/(g1^6*g2^5) + g1^6*g2^6*t^7.49 + 16*t^7.5 + t^7.51/(g1^6*g2^6) + 3*g1^6*g2^5*t^7.52 + (2*t^7.53)/g2 + (7*t^7.55)/g2^2 + (3*t^8.17)/g1^3 - g1^3*g2^6*t^8.17 + 5*g1^3*g2^5*t^8.19 + t^8.21/(g1^9*g2^7) + g1^9*g2^10*t^8.21 - t^8.23/(g1^3*g2^2) - (3*t^8.25)/(g1^3*g2^3) - g1^3*g2^3*t^8.25 - g1^3*g2^2*t^8.27 + (2*t^8.28)/(g1^3*g2^4) - g1^3*t^8.33 + g2^4*t^8.89 + t^8.91/(g1^12*g2^8) + g1^6*g2^9*t^8.91 + 4*g2^3*t^8.92 + (5*t^8.93)/(g1^6*g2^3) + 3*g1^6*g2^8*t^8.94 + 13*g2^2*t^8.95 + t^8.96/(g1^6*g2^4) + 6*g1^6*g2^7*t^8.96 - 10*g2*t^8.97 + (7*t^8.98)/(g1^6*g2^5) + g1^12*g2^12*t^8.98 - t^4.5/y - t^6./y - t^6.73/(g1^3*g2^2*y) - (g1^3*g2^3*t^6.75)/y + (g2*t^7.47)/y + t^7.5/y + (2*t^8.2)/(g1^3*g2*y) + (2*g1^3*g2^4*t^8.22)/y + (3*t^8.25)/(g1^3*g2^3*y) + (3*g1^3*g2^2*t^8.27)/y + (2*g2^2*t^8.95)/y - t^8.96/(g1^6*g2^4*y) + (g1^6*g2^7*t^8.96)/y - (3*g2*t^8.97)/y + t^8.98/(g1^6*g2^5*y) - (g1^6*g2^6*t^8.99)/y - t^4.5*y - t^6.*y - (t^6.73*y)/(g1^3*g2^2) - g1^3*g2^3*t^6.75*y + g2*t^7.47*y + t^7.5*y + (2*t^8.2*y)/(g1^3*g2) + 2*g1^3*g2^4*t^8.22*y + (3*t^8.25*y)/(g1^3*g2^3) + 3*g1^3*g2^2*t^8.27*y + 2*g2^2*t^8.95*y - (t^8.96*y)/(g1^6*g2^4) + g1^6*g2^7*t^8.96*y - 3*g2*t^8.97*y + (t^8.98*y)/(g1^6*g2^5) - g1^6*g2^6*t^8.99*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57746 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.0052 | 1.2251 | 0.8205 | [X:[1.5, 1.5176, 1.4824, 1.5], M:[0.7412, 0.7412], q:[0.2588, 0.2412], qb:[0.2412, 0.2588], phi:[0.5]] | 2*t^2.22 + t^2.95 + 3*t^3. + t^3.05 + 2*t^3.72 + 5*t^4.45 + 5*t^4.5 + 2*t^4.55 + 2*t^5.17 + 8*t^5.22 + 4*t^5.28 + t^5.89 + 4*t^5.95 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |