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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61135 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.3537 | 1.5733 | 0.8604 | [X:[1.25, 1.375], M:[0.875, 1.0, 0.7369], q:[0.5705, 0.3074], qb:[0.5545, 0.3176], phi:[0.375]] | [X:[[0, 0], [0, 0]], M:[[0, 0], [0, 0], [1, -1]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}X_{1}$ | ${}$ | -2 | t^2.21 + t^2.59 + t^2.62 + t^2.66 + t^3. + t^3.38 + t^3.71 + t^3.75 + 2*t^4.12 + t^4.42 + t^4.5 + t^4.68 + t^4.69 + t^4.8 + 2*t^4.84 + t^4.87 + t^4.91 + t^5.17 + t^5.21 + 2*t^5.25 + t^5.33 + t^5.4 + t^5.47 + 2*t^5.59 + 2*t^5.62 + t^5.66 + t^5.81 + t^5.82 + t^5.92 + 2*t^5.96 - 2*t^6. + t^6.04 + t^6.14 + t^6.23 + t^6.3 + 3*t^6.34 + 3*t^6.38 + t^6.53 + t^6.6 + t^6.63 + 3*t^6.71 + 3*t^6.75 + t^6.79 + t^6.89 + t^6.93 + t^6.94 - t^6.97 + t^7.01 + 2*t^7.05 + 3*t^7.09 + 2*t^7.12 + t^7.16 + t^7.27 + t^7.28 + t^7.35 + t^7.36 + t^7.38 + 3*t^7.42 + 2*t^7.46 + 5*t^7.5 + t^7.58 + t^7.62 + t^7.65 + t^7.68 + t^7.72 + t^7.76 + 2*t^7.8 + 5*t^7.84 + t^7.87 + 2*t^7.88 + t^7.91 + 2*t^7.99 + 2*t^8.06 + 2*t^8.07 - t^8.1 - t^8.11 + 2*t^8.13 + 3*t^8.17 + t^8.21 + 5*t^8.25 + 2*t^8.29 + t^8.33 + t^8.35 + t^8.37 + 2*t^8.39 + 2*t^8.4 + t^8.44 + t^8.47 + t^8.48 + 2*t^8.51 + 5*t^8.55 + 4*t^8.62 - t^8.63 - 3*t^8.66 + t^8.7 + t^8.73 + t^8.78 + 2*t^8.81 + t^8.82 + t^8.84 + t^8.85 + t^8.9 + 3*t^8.92 + 6*t^8.96 - t^4.12/y - t^5.25/y - t^6.34/y - t^6.71/y - t^6.75/y - t^6.79/y - t^7.46/y - t^7.5/y + t^7.8/y + t^7.87/y - t^7.88/y + (2*t^8.21)/y - t^8.25/y + t^8.29/y - t^8.55/y + (2*t^8.59)/y + t^8.66/y - t^4.12*y - t^5.25*y - t^6.34*y - t^6.71*y - t^6.75*y - t^6.79*y - t^7.46*y - t^7.5*y + t^7.8*y + t^7.87*y - t^7.88*y + 2*t^8.21*y - t^8.25*y + t^8.29*y - t^8.55*y + 2*t^8.59*y + t^8.66*y | (g1*t^2.21)/g2 + (g1*t^2.59)/g2 + t^2.62 + (g2*t^2.66)/g1 + t^3. + t^3.38 + (g1*t^3.71)/g2 + t^3.75 + 2*t^4.12 + (g1^2*t^4.42)/g2^2 + t^4.5 + t^4.68/(g1*g2^2) + g1*g2^2*t^4.69 + (g1^2*t^4.8)/g2^2 + (2*g1*t^4.84)/g2 + t^4.87 + (g2*t^4.91)/g1 + (g1^2*t^5.17)/g2^2 + (g1*t^5.21)/g2 + 2*t^5.25 + (g2^2*t^5.33)/g1^2 + g1^2*g2*t^5.4 + t^5.47/(g1^2*g2) + (2*g1*t^5.59)/g2 + 2*t^5.62 + (g2*t^5.66)/g1 + t^5.81/(g1*g2^2) + g1*g2^2*t^5.82 + (g1^2*t^5.92)/g2^2 + (2*g1*t^5.96)/g2 - 2*t^6. + (g2*t^6.04)/g1 + t^6.14/g2^3 + g2^3*t^6.23 + (g1^2*t^6.3)/g2^2 + (3*g1*t^6.34)/g2 + 3*t^6.38 + g1^2*g2*t^6.53 + t^6.6/(g1^2*g2) + (g1^3*t^6.63)/g2^3 + (3*g1*t^6.71)/g2 + 3*t^6.75 + (g2*t^6.79)/g1 + t^6.89/g2^3 + t^6.93/(g1*g2^2) + g1*g2^2*t^6.94 - t^6.97/(g1^2*g2) + (g1^3*t^7.01)/g2^3 + (2*g1^2*t^7.05)/g2^2 + (3*g1*t^7.09)/g2 + 2*t^7.12 + (g2*t^7.16)/g1 + t^7.27/g2^3 + g1^2*g2*t^7.28 + t^7.35/(g1^2*g2) + g2^3*t^7.36 + (g1^3*t^7.38)/g2^3 + (3*g1^2*t^7.42)/g2^2 + (2*g1*t^7.46)/g2 + 5*t^7.5 + (g2^2*t^7.58)/g1^2 + g1^3*t^7.62 + g1^2*g2*t^7.65 + t^7.68/(g1*g2^2) + t^7.72/(g1^2*g2) + (g1^3*t^7.76)/g2^3 + (2*g1^2*t^7.8)/g2^2 + (5*g1*t^7.84)/g2 + t^7.87 + 2*t^7.88 + (g2*t^7.91)/g1 + g1^3*t^7.99 + (g2^3*t^7.99)/g1^3 + (2*t^8.06)/(g1*g2^2) + 2*g1*g2^2*t^8.07 - t^8.1/(g1^2*g2) - g2^3*t^8.11 + t^8.13/g1^3 + (g1^3*t^8.13)/g2^3 + (3*g1^2*t^8.17)/g2^2 + (g1*t^8.21)/g2 + 5*t^8.25 + (2*g2*t^8.29)/g1 + (g2^2*t^8.33)/g1^2 + (g1*t^8.35)/g2^4 + g1^3*t^8.37 + (2*t^8.39)/g2^3 + 2*g1^2*g2*t^8.4 + g1*g2^2*t^8.44 + t^8.47/(g1^2*g2) + g2^3*t^8.48 + t^8.51/g1^3 + (g1^3*t^8.51)/g2^3 + (5*g1^2*t^8.55)/g2^2 + 4*t^8.62 - t^8.63 - (3*g2*t^8.66)/g1 + (g2^2*t^8.7)/g1^2 + (g1*t^8.73)/g2^4 + g1^2*g2*t^8.78 + (2*t^8.81)/(g1*g2^2) + g1*g2^2*t^8.82 + (g1^4*t^8.84)/g2^4 + t^8.85/(g1^2*g2) - t^8.88/g1^3 + (g1^3*t^8.88)/g2^3 + (g2^4*t^8.9)/g1 + (3*g1^2*t^8.92)/g2^2 + (6*g1*t^8.96)/g2 - t^4.12/y - t^5.25/y - (g1*t^6.34)/(g2*y) - (g1*t^6.71)/(g2*y) - t^6.75/y - (g2*t^6.79)/(g1*y) - (g1*t^7.46)/(g2*y) - t^7.5/y + (g1^2*t^7.8)/(g2^2*y) + t^7.87/y - t^7.88/y + (2*g1*t^8.21)/(g2*y) - t^8.25/y + (g2*t^8.29)/(g1*y) - (g1^2*t^8.55)/(g2^2*y) + (2*g1*t^8.59)/(g2*y) + (g2*t^8.66)/(g1*y) - t^4.12*y - t^5.25*y - (g1*t^6.34*y)/g2 - (g1*t^6.71*y)/g2 - t^6.75*y - (g2*t^6.79*y)/g1 - (g1*t^7.46*y)/g2 - t^7.5*y + (g1^2*t^7.8*y)/g2^2 + t^7.87*y - t^7.88*y + (2*g1*t^8.21*y)/g2 - t^8.25*y + (g2*t^8.29*y)/g1 - (g1^2*t^8.55*y)/g2^2 + (2*g1*t^8.59*y)/g2 + (g2*t^8.66*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|---|
58449 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4954 | 1.7254 | 0.8667 | [X:[1.328], M:[0.992, 0.6879, 0.671], q:[0.5045, 0.4876], qb:[0.5035, 0.4885], phi:[0.336]] | t^2.01 + t^2.06 + t^2.93 + t^2.97 + 2*t^2.98 + t^3.02 + 2*t^3.98 + 2*t^4.03 + t^4.08 + t^4.13 + 2*t^4.94 + 6*t^4.99 + 5*t^5.04 + t^5.09 + 2*t^5.45 + t^5.49 + t^5.5 + t^5.86 + 2*t^5.9 + t^5.91 + 4*t^5.95 + t^5.96 + t^5.99 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail |