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 |
---|---|---|---|---|---|---|---|---|---|
57461 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4404 | 1.6215 | 0.8883 | [X:[1.347], M:[1.0205], q:[0.4695, 0.4695], qb:[0.5305, 0.5715], phi:[0.3265]] | [X:[[0, 6]], M:[[0, 9]], q:[[-1, 22], [1, 0]], qb:[[0, -11], [0, 7]], phi:[[0, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}$ | -2 | 2*t^3. + t^3.06 + 2*t^3.12 + 2*t^3.98 + t^4.04 + 2*t^4.1 + 2*t^4.96 + 2*t^5.08 + 2*t^5.2 - 2*t^6. + 2*t^6.06 + 4*t^6.12 + 4*t^6.18 + 3*t^6.25 + 4*t^7.04 + 7*t^7.1 + 8*t^7.16 + 3*t^7.23 + t^7.71 - 2*t^7.9 + 4*t^7.96 + 2*t^8.02 + 8*t^8.08 + 2*t^8.14 + 7*t^8.2 + 2*t^8.27 + 4*t^8.33 - 2*t^8.75 - 2*t^8.88 + 5*t^8.94 + t^8.94/y^2 - t^3.98/y - t^4.96/y - (2*t^6.98)/y - t^7.04/y - (2*t^7.1)/y - (2*t^7.96)/y - t^8.02/y - (2*t^8.08)/y - (2*t^8.94)/y - t^3.98*y - t^4.96*y - 2*t^6.98*y - t^7.04*y - 2*t^7.1*y - 2*t^7.96*y - t^8.02*y - 2*t^8.08*y - 2*t^8.94*y + t^8.94*y^2 | (g1*t^3.)/g2^11 + (g2^11*t^3.)/g1 + g2^9*t^3.06 + g1*g2^7*t^3.12 + (g2^29*t^3.12)/g1 + (g1*t^3.98)/g2^14 + (g2^8*t^3.98)/g1 + g2^6*t^4.04 + g1*g2^4*t^4.1 + (g2^26*t^4.1)/g1 + (g1*t^4.96)/g2^17 + (g2^5*t^4.96)/g1 + g1*g2*t^5.08 + (g2^23*t^5.08)/g1 + g1*g2^19*t^5.2 + (g2^41*t^5.2)/g1 - 2*t^6. + (g1*t^6.06)/g2^2 + (g2^20*t^6.06)/g1 + (g1^2*t^6.12)/g2^4 + 2*g2^18*t^6.12 + (g2^40*t^6.12)/g1^2 + 2*g1*g2^16*t^6.18 + (2*g2^38*t^6.18)/g1 + g1^2*g2^14*t^6.25 + g2^36*t^6.25 + (g2^58*t^6.25)/g1^2 + (2*g1*t^7.04)/g2^5 + (2*g2^17*t^7.04)/g1 + (2*g1^2*t^7.1)/g2^7 + 3*g2^15*t^7.1 + (2*g2^37*t^7.1)/g1^2 + (g1^3*t^7.16)/g2^9 + 3*g1*g2^13*t^7.16 + (3*g2^35*t^7.16)/g1 + (g2^57*t^7.16)/g1^3 + g1^2*g2^11*t^7.23 + g2^33*t^7.23 + (g2^55*t^7.23)/g1^2 + t^7.71/g2^42 - (g1*t^7.9)/g2^26 - t^7.9/(g1*g2^4) + (g1^2*t^7.96)/g2^28 + (2*t^7.96)/g2^6 + (g2^16*t^7.96)/g1^2 + (g1*t^8.02)/g2^8 + (g2^14*t^8.02)/g1 + (2*g1^2*t^8.08)/g2^10 + 4*g2^12*t^8.08 + (2*g2^34*t^8.08)/g1^2 + g1*g2^10*t^8.14 + (g2^32*t^8.14)/g1 + 2*g1^2*g2^8*t^8.2 + 3*g2^30*t^8.2 + (2*g2^52*t^8.2)/g1^2 + g1*g2^28*t^8.27 + (g2^50*t^8.27)/g1 + g1^2*g2^26*t^8.33 + 2*g2^48*t^8.33 + (g2^70*t^8.33)/g1^2 - (g1*t^8.75)/g2^47 - t^8.75/(g1*g2^25) - (g1*t^8.88)/g2^29 - t^8.88/(g1*g2^7) + (g1^2*t^8.94)/g2^31 + (3*t^8.94)/g2^9 + (g2^13*t^8.94)/g1^2 + t^8.94/(g2^9*y^2) - t^3.98/(g2^3*y) - t^4.96/(g2^6*y) - (g1*t^6.98)/(g2^14*y) - (g2^8*t^6.98)/(g1*y) - (g2^6*t^7.04)/y - (g1*g2^4*t^7.1)/y - (g2^26*t^7.1)/(g1*y) - (g1*t^7.96)/(g2^17*y) - (g2^5*t^7.96)/(g1*y) - (g2^3*t^8.02)/y - (g1*g2*t^8.08)/y - (g2^23*t^8.08)/(g1*y) - (g1*t^8.94)/(g2^20*y) - (g2^2*t^8.94)/(g1*y) - (t^3.98*y)/g2^3 - (t^4.96*y)/g2^6 - (g1*t^6.98*y)/g2^14 - (g2^8*t^6.98*y)/g1 - g2^6*t^7.04*y - g1*g2^4*t^7.1*y - (g2^26*t^7.1*y)/g1 - (g1*t^7.96*y)/g2^17 - (g2^5*t^7.96*y)/g1 - g2^3*t^8.02*y - g1*g2*t^8.08*y - (g2^23*t^8.08*y)/g1 - (g1*t^8.94*y)/g2^20 - (g2^2*t^8.94*y)/g1 + (t^8.94*y^2)/g2^9 |
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 |
---|---|---|---|---|---|---|---|---|
58843 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0597 | 1.1827 | 0.896 | [X:[1.4709], M:[1.2063], q:[0.3737, 1.0194], qb:[0.3034, 0.716], phi:[0.2646]] | t^2.03 + t^2.83 + t^3.27 + 2*t^3.62 + t^3.97 + t^4.06 + t^4.41 + t^4.76 + t^4.86 + t^5.11 + t^5.21 + t^5.3 + 2*t^5.65 + t^5.74 - 2*t^6. - t^3.79/y - t^4.59/y - t^5.83/y - t^3.79*y - t^4.59*y - t^5.83*y | detail | |
59049 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.3134 | 1.4652 | 0.8964 | [X:[1.4095], M:[1.1143], q:[0.4033, 0.7651], qb:[0.4158, 0.6445], phi:[0.2952]] | t^2.46 + t^3.14 + 2*t^3.34 + t^3.54 + t^4.03 + 3*t^4.23 + t^4.43 + t^4.91 + t^5.11 + t^5.31 + 2*t^5.6 + t^5.8 - t^6. - t^3.89/y - t^4.77/y - t^3.89*y - t^4.77*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 |
---|---|---|---|---|---|---|---|---|---|
47912 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6233 | 0.8887 | [X:[1.3516], q:[0.4779, 0.4779], qb:[0.5221, 0.5768], phi:[0.3242]] | t^2.918 + 2*t^3. + 2*t^3.164 + 2*t^3.973 + t^4.055 + 2*t^4.137 + 2*t^4.945 + 2*t^5.109 + 2*t^5.273 + t^5.836 + 2*t^5.918 - 2*t^6. - t^3.973/y - t^4.945/y - t^3.973*y - t^4.945*y | detail |