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 |
---|---|---|---|---|---|---|---|---|---|
57476 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4533 | 1.6393 | 0.8865 | [X:[1.3387], M:[1.0081, 0.9839], q:[0.5081, 0.5], qb:[0.5081, 0.5], phi:[0.3306]] | [X:[[0, 0, 2]], M:[[0, 0, 3], [0, 0, -6]], q:[[-1, 0, 6], [0, -1, 0]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$ | ${}$ | -3 | t^2.95 + t^3. + 3*t^3.02 + t^3.99 + 3*t^4.02 + t^4.04 + t^4.98 + 2*t^5.01 + t^5.03 + 2*t^5.52 + 2*t^5.54 + t^5.9 + t^5.95 + t^5.98 - 3*t^6. + t^6.02 + 6*t^6.05 + 2*t^6.51 + 2*t^6.53 + t^6.94 + t^6.97 - t^6.99 + 4*t^7.02 + 10*t^7.04 + 3*t^7.06 + 2*t^7.48 + 2*t^7.55 + t^7.94 + t^7.98 + 5*t^8.01 + 11*t^8.03 + 5*t^8.06 + t^8.08 - 4*t^8.49 - 4*t^8.52 + 6*t^8.54 + 6*t^8.56 + t^8.86 + t^8.9 + t^8.93 - 2*t^8.95 + 3*t^8.98 + t^8.98/y^2 - t^3.99/y - t^4.98/y - t^6.94/y - t^6.99/y - (3*t^7.02)/y - t^7.94/y - t^7.98/y - (3*t^8.01)/y + t^8.95/y + (2*t^8.98)/y - t^3.99*y - t^4.98*y - t^6.94*y - t^6.99*y - 3*t^7.02*y - t^7.94*y - t^7.98*y - 3*t^8.01*y + t^8.95*y + 2*t^8.98*y + t^8.98*y^2 | t^2.95/g3^6 + t^3. + (g1*t^3.02)/g2 + g3^3*t^3.02 + (g2*g3^6*t^3.02)/g1 + t^3.99/g3 + (g1*t^4.02)/(g2*g3) + g3^2*t^4.02 + (g2*g3^5*t^4.02)/g1 + g3^5*t^4.04 + t^4.98/g3^2 + (g1*t^5.01)/(g2*g3^2) + (g2*g3^4*t^5.01)/g1 + g3^4*t^5.03 + (g1*g2^2*t^5.52)/g3 + (g3^5*t^5.52)/(g1*g2^2) + (g1^2*g2*t^5.54)/g3 + (g3^11*t^5.54)/(g1^2*g2) + t^5.9/g3^12 + t^5.95/g3^6 + t^5.98/g3^3 - 3*t^6. + g3^3*t^6.02 + (g1^2*t^6.05)/g2^2 + (g1*g3^3*t^6.05)/g2 + 2*g3^6*t^6.05 + (g2*g3^9*t^6.05)/g1 + (g2^2*g3^12*t^6.05)/g1^2 + (g1*g2^2*t^6.51)/g3^2 + (g3^4*t^6.51)/(g1*g2^2) + (g1^2*g2*t^6.53)/g3^2 + (g3^10*t^6.53)/(g1^2*g2) + t^6.94/g3^7 + t^6.97/g3^4 - t^6.99/g3 + (g1*t^7.02)/(g2*g3) + 2*g3^2*t^7.02 + (g2*g3^5*t^7.02)/g1 + (g1^2*t^7.04)/(g2^2*g3) + (2*g1*g3^2*t^7.04)/g2 + 4*g3^5*t^7.04 + (2*g2*g3^8*t^7.04)/g1 + (g2^2*g3^11*t^7.04)/g1^2 + (g1*g3^5*t^7.06)/g2 + g3^8*t^7.06 + (g2*g3^11*t^7.06)/g1 + t^7.48/(g2^3*g3^3) + (g2^3*t^7.48)/g3^3 - (g1^2*g2*t^7.5)/g3^6 + (g1*g2^2*t^7.5)/g3^3 + (g3^3*t^7.5)/(g1*g2^2) - (g3^6*t^7.5)/(g1^2*g2) - g1*g2^2*t^7.52 + (g1^2*g2*t^7.52)/g3^3 - (g3^6*t^7.52)/(g1*g2^2) + (g3^9*t^7.52)/(g1^2*g2) + (g1^3*t^7.55)/g3^3 + (g3^15*t^7.55)/g1^3 + t^7.94/g3^8 + t^7.98/g3^2 + (2*g1*t^8.01)/(g2*g3^2) + g3*t^8.01 + (2*g2*g3^4*t^8.01)/g1 + (2*g1^2*t^8.03)/(g2^2*g3^2) + (g1*g3*t^8.03)/g2 + 5*g3^4*t^8.03 + (g2*g3^7*t^8.03)/g1 + (2*g2^2*g3^10*t^8.03)/g1^2 + (2*g1*g3^4*t^8.06)/g2 + g3^7*t^8.06 + (2*g2*g3^10*t^8.06)/g1 + g3^10*t^8.08 - (g1^2*g2*t^8.49)/g3^7 - t^8.49/(g2^3*g3) - (g2^3*t^8.49)/g3 - (g3^5*t^8.49)/(g1^2*g2) - (g1^3*t^8.52)/g3^7 - (g1*g2^2*t^8.52)/g3 - (g3^5*t^8.52)/(g1*g2^2) - (g3^11*t^8.52)/g1^3 + (g1^2*g2*t^8.54)/g3 + g1*g2^2*g3^2*t^8.54 + (g3^5*t^8.54)/g2^3 + g2^3*g3^5*t^8.54 + (g3^8*t^8.54)/(g1*g2^2) + (g3^11*t^8.54)/(g1^2*g2) + (g1^3*t^8.56)/g3 + g1^2*g2*g3^2*t^8.56 + g1*g2^2*g3^5*t^8.56 + (g3^11*t^8.56)/(g1*g2^2) + (g3^14*t^8.56)/(g1^2*g2) + (g3^17*t^8.56)/g1^3 + t^8.86/g3^18 + t^8.9/g3^12 + t^8.93/g3^9 - (2*t^8.95)/g3^6 + (3*t^8.98)/g3^3 + t^8.98/(g3^3*y^2) - t^3.99/(g3*y) - t^4.98/(g3^2*y) - t^6.94/(g3^7*y) - t^6.99/(g3*y) - (g1*t^7.02)/(g2*g3*y) - (g3^2*t^7.02)/y - (g2*g3^5*t^7.02)/(g1*y) - t^7.94/(g3^8*y) - t^7.98/(g3^2*y) - (g1*t^8.01)/(g2*g3^2*y) - (g3*t^8.01)/y - (g2*g3^4*t^8.01)/(g1*y) + t^8.95/(g3^6*y) + (g2*t^8.98)/(g1*y) + (g1*t^8.98)/(g2*g3^6*y) - (t^3.99*y)/g3 - (t^4.98*y)/g3^2 - (t^6.94*y)/g3^7 - (t^6.99*y)/g3 - (g1*t^7.02*y)/(g2*g3) - g3^2*t^7.02*y - (g2*g3^5*t^7.02*y)/g1 - (t^7.94*y)/g3^8 - (t^7.98*y)/g3^2 - (g1*t^8.01*y)/(g2*g3^2) - g3*t^8.01*y - (g2*g3^4*t^8.01*y)/g1 + (t^8.95*y)/g3^6 + (g2*t^8.98*y)/g1 + (g1*t^8.98*y)/(g2*g3^6) + (t^8.98*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|
59068 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4412 | 1.6238 | 0.8875 | [X:[1.3506], M:[1.026, 0.9481], q:[0.4948, 0.4409], qb:[0.5571, 0.5591], phi:[0.3247]] | t^2.84 + t^2.99 + t^3. + t^3.08 + t^3.16 + 2*t^3.97 + t^4.05 + t^4.13 + t^4.14 + t^4.94 + t^4.95 + 2*t^5.1 + t^5.11 + t^5.27 + t^5.69 + t^5.84 + t^5.92 + 2*t^5.99 - 2*t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
47915 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.476 | 1.6893 | 0.8737 | [M:[0.9872, 0.9765], q:[0.5118, 0.4754], qb:[0.5118, 0.4754], phi:[0.3376]] | t^2.026 + t^2.852 + t^2.929 + 3*t^2.961 + t^3.865 + 2*t^3.974 + t^4.051 + t^4.083 + 2*t^4.878 + t^4.955 + 5*t^4.987 + t^5.096 + 2*t^5.4 + 2*t^5.51 + t^5.705 + t^5.782 + 3*t^5.814 + t^5.859 + 2*t^5.891 + 6*t^5.923 - 2*t^6. - t^4.013/y - t^5.026/y - t^4.013*y - t^5.026*y | detail |