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 |
---|---|---|---|---|---|---|---|---|---|
75 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 0.6281 | 0.758 | 0.8286 | [M:[0.6967], q:[0.8359, 0.809], qb:[0.4674, 0.4674], phi:[0.3551]] | [M:[[1, -5]], q:[[-1, 2], [1, 0]], qb:[[0, 3], [0, 3]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}^{2}$ | -1 | t^2.09 + t^2.13 + t^2.805 + 2*t^3.829 + 3*t^3.87 + t^3.91 + t^4.18 + t^4.22 + t^4.261 + t^4.895 + 2*t^4.935 + t^5.609 + 2*t^5.919 + 3*t^5.96 - t^6. - t^6.04 + t^6.27 + t^6.31 + t^6.351 + t^6.391 + 2*t^6.634 + 3*t^6.674 + t^6.715 + t^6.984 - 2*t^7.065 - 2*t^7.105 + 3*t^7.659 + 5*t^7.699 + 5*t^7.739 + t^7.78 + t^7.82 + 2*t^8.009 + 3*t^8.05 - t^8.09 - 2*t^8.13 - t^8.171 + t^8.36 + t^8.4 + t^8.414 + t^8.441 + t^8.481 + t^8.521 + 2*t^8.724 + 3*t^8.764 - 2*t^8.805 - 2*t^8.845 - t^4.065/y - t^6.155/y - t^6.195/y + t^7.22/y + t^7.895/y + (2*t^7.935)/y + t^7.975/y - t^8.245/y - t^8.285/y - t^8.326/y + (2*t^8.919)/y + (5*t^8.96)/y - t^4.065*y - t^6.155*y - t^6.195*y + t^7.22*y + t^7.895*y + 2*t^7.935*y + t^7.975*y - t^8.245*y - t^8.285*y - t^8.326*y + 2*t^8.919*y + 5*t^8.96*y | (g1*t^2.09)/g2^5 + t^2.13/g2^4 + g2^6*t^2.805 + 2*g1*g2^3*t^3.829 + 3*g2^4*t^3.87 + (g2^5*t^3.91)/g1 + (g1^2*t^4.18)/g2^10 + (g1*t^4.22)/g2^9 + t^4.261/g2^8 + g1*g2*t^4.895 + 2*g2^2*t^4.935 + g2^12*t^5.609 + (2*g1^2*t^5.919)/g2^2 + (3*g1*t^5.96)/g2 - t^6. - (g2*t^6.04)/g1 + (g1^3*t^6.27)/g2^15 + (g1^2*t^6.31)/g2^14 + (g1*t^6.351)/g2^13 + t^6.391/g2^12 + 2*g1*g2^9*t^6.634 + 3*g2^10*t^6.674 + (g2^11*t^6.715)/g1 + (g1^2*t^6.984)/g2^4 - (2*t^7.065)/g2^2 - (2*t^7.105)/(g1*g2) + 3*g1^2*g2^6*t^7.659 + 5*g1*g2^7*t^7.699 + 5*g2^8*t^7.739 + (g2^9*t^7.78)/g1 + (g2^10*t^7.82)/g1^2 + (2*g1^3*t^8.009)/g2^7 + (3*g1^2*t^8.05)/g2^6 - (g1*t^8.09)/g2^5 - (2*t^8.13)/g2^4 - t^8.171/(g1*g2^3) + (g1^4*t^8.36)/g2^20 + (g1^3*t^8.4)/g2^19 + g2^18*t^8.414 + (g1^2*t^8.441)/g2^18 + (g1*t^8.481)/g2^17 + t^8.521/g2^16 + 2*g1^2*g2^4*t^8.724 + 3*g1*g2^5*t^8.764 - 2*g2^6*t^8.805 - (2*g2^7*t^8.845)/g1 - t^4.065/(g2^2*y) - (g1*t^6.155)/(g2^7*y) - t^6.195/(g2^6*y) + (g1*t^7.22)/(g2^9*y) + (g1*g2*t^7.895)/y + (2*g2^2*t^7.935)/y + (g2^3*t^7.975)/(g1*y) - (g1^2*t^8.245)/(g2^12*y) - (g1*t^8.285)/(g2^11*y) - t^8.326/(g2^10*y) + (2*g1^2*t^8.919)/(g2^2*y) + (5*g1*t^8.96)/(g2*y) - (t^4.065*y)/g2^2 - (g1*t^6.155*y)/g2^7 - (t^6.195*y)/g2^6 + (g1*t^7.22*y)/g2^9 + g1*g2*t^7.895*y + 2*g2^2*t^7.935*y + (g2^3*t^7.975*y)/g1 - (g1^2*t^8.245*y)/g2^12 - (g1*t^8.285*y)/g2^11 - (t^8.326*y)/g2^10 + (2*g1^2*t^8.919*y)/g2^2 + (5*g1*t^8.96*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
117 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5336 | 0.6056 | 0.881 | [X:[1.4237], M:[0.8645], q:[0.5678, 1.1441], qb:[0.5678, 0.5678], phi:[0.2882]] | t^2.593 + 2*t^3.407 + 4*t^4.271 + t^5.136 + t^5.187 - 5*t^6. - t^3.864/y - t^3.864*y | detail | |
113 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{1}^{2}$ | 0.57 | 0.6943 | 0.8211 | [M:[1.0], q:[0.5963, 1.0062], qb:[0.4037, 0.4037], phi:[0.3975]] | t^2.385 + t^2.422 + 2*t^3. + 3*t^3.615 + 2*t^4.23 + t^4.77 + 2*t^4.807 + t^4.845 + 2*t^5.422 + t^6. - t^4.193/y - t^4.193*y | detail | |
115 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6485 | 0.7962 | 0.8145 | [M:[0.6924, 0.7041], q:[0.8357, 0.8123], qb:[0.472, 0.472], phi:[0.352]] | t^2.077 + 2*t^2.112 + t^2.832 + 2*t^3.853 + 2*t^3.888 + t^3.923 + t^4.154 + 2*t^4.189 + 3*t^4.224 + t^4.909 + 3*t^4.944 + t^5.664 + 2*t^5.93 + 4*t^5.965 - t^4.056/y - t^4.056*y | detail | |
116 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6078 | 0.721 | 0.843 | [M:[0.7025, 1.2818], q:[0.8362, 0.8047], qb:[0.4613, 0.4613], phi:[0.3591]] | t^2.107 + t^2.768 + 2*t^3.798 + 4*t^3.845 + t^3.893 + t^4.215 + t^4.875 + t^4.923 + t^5.536 + 2*t^5.906 + 2*t^5.953 - 4*t^6. - t^4.077/y - t^4.077*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 |
---|---|---|---|---|---|---|---|---|---|
49 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.6281 | 0.7582 | 0.8284 | [M:[0.6941], q:[0.8347, 0.81], qb:[0.4712, 0.463], phi:[0.3553]] | t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^4.066/y - t^4.066*y | detail |