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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60998 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4753 | 1.685 | 0.8756 | [X:[1.3291], M:[0.9936, 0.9809, 0.6964], q:[0.4779, 0.5161], qb:[0.503, 0.4903], phi:[0.3355]] | [X:[[0, 2]], M:[[0, 3], [0, 9], [0, -14]], q:[[-1, 15], [-1, -3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | t^2.09 + t^2.9 + 2*t^2.94 + t^2.98 + t^3.02 + t^3.95 + t^3.99 + t^4.03 + t^4.06 + t^4.18 + t^4.92 + t^4.96 + t^4.99 + 3*t^5.03 + 2*t^5.07 + t^5.11 + t^5.42 + t^5.46 + t^5.5 + t^5.54 + t^5.81 + 2*t^5.85 + 3*t^5.89 + 3*t^5.92 + 2*t^5.96 - 3*t^6. + t^6.04 + t^6.08 + t^6.15 + t^6.27 + t^6.43 + t^6.46 + t^6.5 + t^6.54 + t^6.85 + 2*t^6.89 + 4*t^6.93 + 4*t^6.97 + 2*t^7.01 + 2*t^7.04 + 2*t^7.08 + 2*t^7.12 + 2*t^7.16 + t^7.2 + t^7.32 + t^7.43 + t^7.51 + 2*t^7.55 + t^7.58 + t^7.63 + t^7.66 + t^7.82 + 3*t^7.86 + 3*t^7.9 + 5*t^7.94 + 7*t^7.97 + 5*t^8.01 + 4*t^8.05 - t^8.09 + t^8.13 + t^8.17 + t^8.24 + t^8.33 + 3*t^8.36 + 2*t^8.4 + 3*t^8.44 + t^8.48 - t^8.55 + t^8.56 - t^8.59 + t^8.71 + 2*t^8.75 + 3*t^8.79 + 5*t^8.83 + 5*t^8.87 - 3*t^8.94 + t^8.98 - t^4.01/y - t^5.01/y - t^6.1/y - t^6.91/y - (2*t^6.95)/y - t^6.99/y - t^7.03/y - t^7.1/y - (2*t^7.96)/y + t^8.03/y + t^8.07/y + t^8.11/y - t^8.18/y + (2*t^8.85)/y + (2*t^8.89)/y + (3*t^8.92)/y + t^8.96/y - t^4.01*y - t^5.01*y - t^6.1*y - t^6.91*y - 2*t^6.95*y - t^6.99*y - t^7.03*y - t^7.1*y - 2*t^7.96*y + t^8.03*y + t^8.07*y + t^8.11*y - t^8.18*y + 2*t^8.85*y + 2*t^8.89*y + 3*t^8.92*y + t^8.96*y | t^2.09/g2^14 + g2^15*t^2.9 + 2*g2^9*t^2.94 + g2^3*t^2.98 + t^3.02/g2^3 + g2^8*t^3.95 + g2^2*t^3.99 + t^4.03/g2^4 + t^4.06/g2^10 + t^4.18/g2^28 + g2^13*t^4.92 + g2^7*t^4.96 + g2*t^4.99 + (3*t^5.03)/g2^5 + (2*t^5.07)/g2^11 + t^5.11/g2^17 + (g2^26*t^5.42)/g1^3 + (g1^3*t^5.46)/g2^7 + (g1^3*t^5.5)/g2^13 + (g2^8*t^5.54)/g1^3 + g2^30*t^5.81 + 2*g2^24*t^5.85 + 3*g2^18*t^5.89 + 3*g2^12*t^5.92 + 2*g2^6*t^5.96 - 3*t^6. + t^6.04/g2^6 + t^6.08/g2^12 + t^6.15/g2^24 + t^6.27/g2^42 + (g2^25*t^6.43)/g1^3 + (g1^3*t^6.46)/g2^8 + (g1^3*t^6.5)/g2^14 + (g2^7*t^6.54)/g1^3 + g2^23*t^6.85 + 2*g2^17*t^6.89 + 4*g2^11*t^6.93 + 4*g2^5*t^6.97 + (2*t^7.01)/g2 + (2*t^7.04)/g2^7 + (2*t^7.08)/g2^13 + (2*t^7.12)/g2^19 + (2*t^7.16)/g2^25 + t^7.2/g2^31 + (g2^42*t^7.32)/g1^3 + (g2^24*t^7.43)/g1^3 + (g1^3*t^7.47)/g2^9 - (g2^18*t^7.47)/g1^3 + (g1^3*t^7.51)/g2^15 + (g1^3*t^7.55)/g2^21 + (g2^6*t^7.55)/g1^3 + (g1^3*t^7.58)/g2^27 + t^7.63/(g1^3*g2^6) + t^7.66/(g1^3*g2^12) + g2^28*t^7.82 + 3*g2^22*t^7.86 + 3*g2^16*t^7.9 + 5*g2^10*t^7.94 + 7*g2^4*t^7.97 + (5*t^8.01)/g2^2 + (4*t^8.05)/g2^8 - t^8.09/g2^14 + t^8.13/g2^20 + t^8.17/g2^26 + t^8.24/g2^38 + (g2^41*t^8.33)/g1^3 + t^8.36/g2^56 + g1^3*g2^8*t^8.36 + (g2^35*t^8.36)/g1^3 + 2*g1^3*g2^2*t^8.4 + (g1^3*t^8.44)/g2^4 + (2*g2^23*t^8.44)/g1^3 + (g1^3*t^8.48)/g2^10 - (g1^3*t^8.55)/g2^22 + (g2^5*t^8.56)/g1^3 - t^8.59/(g1^3*g2) + g2^45*t^8.71 + 2*g2^39*t^8.75 + 3*g2^33*t^8.79 + 5*g2^27*t^8.83 + 5*g2^21*t^8.87 - 3*g2^9*t^8.94 + g2^3*t^8.98 - t^4.01/(g2*y) - t^5.01/(g2^2*y) - t^6.1/(g2^15*y) - (g2^14*t^6.91)/y - (2*g2^8*t^6.95)/y - (g2^2*t^6.99)/y - t^7.03/(g2^4*y) - t^7.1/(g2^16*y) - (2*g2^7*t^7.96)/y + t^8.03/(g2^5*y) + t^8.07/(g2^11*y) + t^8.11/(g2^17*y) - t^8.18/(g2^29*y) + (2*g2^24*t^8.85)/y + (2*g2^18*t^8.89)/y + (3*g2^12*t^8.92)/y + (g2^6*t^8.96)/y - (t^4.01*y)/g2 - (t^5.01*y)/g2^2 - (t^6.1*y)/g2^15 - g2^14*t^6.91*y - 2*g2^8*t^6.95*y - g2^2*t^6.99*y - (t^7.03*y)/g2^4 - (t^7.1*y)/g2^16 - 2*g2^7*t^7.96*y + (t^8.03*y)/g2^5 + (t^8.07*y)/g2^11 + (t^8.11*y)/g2^17 - (t^8.18*y)/g2^29 + 2*g2^24*t^8.85*y + 2*g2^18*t^8.89*y + 3*g2^12*t^8.92*y + g2^6*t^8.96*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 |
---|---|---|---|---|---|---|---|---|---|
57767 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4548 | 1.6461 | 0.8838 | [X:[1.3282], M:[0.9923, 0.9768], q:[0.4732, 0.5195], qb:[0.5036, 0.4882], phi:[0.3359]] | t^2.88 + 2*t^2.93 + t^2.98 + t^3.02 + t^3.89 + t^3.94 + t^3.98 + t^4.03 + t^4.08 + t^4.9 + t^4.95 + t^5.04 + t^5.08 + t^5.41 + t^5.45 + t^5.49 + t^5.54 + t^5.77 + 2*t^5.81 + 3*t^5.86 + 3*t^5.91 + 2*t^5.95 - 3*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail |