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 |
---|---|---|---|---|---|---|---|---|---|
46599 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6341 | 0.8036 | 0.7891 | [M:[1.1055, 0.789, 0.6835, 1.211], q:[0.75, 0.461], qb:[0.3555, 0.4335], phi:[0.5]] | [M:[[-1], [2], [3], [-2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}M_{4}$ | 0 | t^2.05 + t^2.367 + t^2.45 + t^3. + 2*t^3.317 + t^3.55 + 2*t^3.633 + t^3.867 + 2*t^4.101 + t^4.183 + t^4.266 + t^4.417 + t^4.5 + t^4.734 + t^4.817 + t^4.899 + t^5.05 + 3*t^5.367 + t^5.45 + t^5.601 + 3*t^5.683 + t^5.766 + t^5.917 + t^6.083 + 2*t^6.151 + t^6.234 + t^6.317 + 2*t^6.468 + 2*t^6.55 + 4*t^6.633 + t^6.716 + t^6.784 + 2*t^6.867 + 3*t^6.95 + 3*t^7.101 + 2*t^7.183 + 2*t^7.266 + t^7.349 + 4*t^7.417 + t^7.5 + 2*t^7.651 + 5*t^7.734 + t^7.817 + 2*t^7.899 + 2*t^7.968 + 3*t^8.202 + t^8.216 + 2*t^8.284 + t^8.367 + 2*t^8.518 + 2*t^8.532 + 2*t^8.601 + 2*t^8.683 + 2*t^8.835 + 2*t^8.917 - t^4.5/y - t^6.55/y + t^7.183/y + t^7.417/y + t^7.5/y + t^8.05/y + (3*t^8.367)/y + (2*t^8.45)/y + (4*t^8.683)/y + (2*t^8.766)/y + (2*t^8.917)/y - t^4.5*y - t^6.55*y + t^7.183*y + t^7.417*y + t^7.5*y + t^8.05*y + 3*t^8.367*y + 2*t^8.45*y + 4*t^8.683*y + 2*t^8.766*y + 2*t^8.917*y | g1^3*t^2.05 + g1^2*t^2.367 + t^2.45/g1^3 + t^3. + (2*t^3.317)/g1 + g1^3*t^3.55 + (2*t^3.633)/g1^2 + g1^2*t^3.867 + 2*g1^6*t^4.101 + g1*t^4.183 + t^4.266/g1^4 + g1^5*t^4.417 + t^4.5 + g1^4*t^4.734 + t^4.817/g1 + t^4.899/g1^6 + g1^3*t^5.05 + 3*g1^2*t^5.367 + t^5.45/g1^3 + g1^6*t^5.601 + 3*g1*t^5.683 + t^5.766/g1^4 + g1^5*t^5.917 + t^6.083/g1^5 + 2*g1^9*t^6.151 + g1^4*t^6.234 + t^6.317/g1 + 2*g1^8*t^6.468 + 2*g1^3*t^6.55 + (4*t^6.633)/g1^2 + t^6.716/g1^7 + g1^7*t^6.784 + 2*g1^2*t^6.867 + (3*t^6.95)/g1^3 + 3*g1^6*t^7.101 + 2*g1*t^7.183 + (2*t^7.266)/g1^4 + t^7.349/g1^9 + 4*g1^5*t^7.417 + t^7.5 + 2*g1^9*t^7.651 + 5*g1^4*t^7.734 + t^7.817/g1 + (2*t^7.899)/g1^6 + 2*g1^8*t^7.968 + 3*g1^12*t^8.202 + t^8.216/g1^7 + 2*g1^7*t^8.284 + g1^2*t^8.367 + 2*g1^11*t^8.518 + (2*t^8.532)/g1^8 + 2*g1^6*t^8.601 + 2*g1*t^8.683 + 2*g1^10*t^8.835 + 2*g1^5*t^8.917 - t^4.5/y - (g1^3*t^6.55)/y + (g1*t^7.183)/y + (g1^5*t^7.417)/y + t^7.5/y + (g1^3*t^8.05)/y + (3*g1^2*t^8.367)/y + (2*t^8.45)/(g1^3*y) + (4*g1*t^8.683)/y + (2*t^8.766)/(g1^4*y) + (2*g1^5*t^8.917)/y - t^4.5*y - g1^3*t^6.55*y + g1*t^7.183*y + g1^5*t^7.417*y + t^7.5*y + g1^3*t^8.05*y + 3*g1^2*t^8.367*y + (2*t^8.45*y)/g1^3 + 4*g1*t^8.683*y + (2*t^8.766*y)/g1^4 + 2*g1^5*t^8.917*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 |
---|---|---|---|---|---|---|---|---|
47273 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6545 | 0.842 | 0.7773 | [M:[1.1041, 0.7918, 0.6877, 1.2082, 0.7082], q:[0.75, 0.4582], qb:[0.3541, 0.4377], phi:[0.5]] | t^2.063 + t^2.125 + t^2.375 + t^2.437 + t^3. + 2*t^3.312 + t^3.563 + 2*t^3.625 + 2*t^4.126 + 2*t^4.188 + 2*t^4.249 + t^4.438 + 2*t^4.5 + t^4.562 + t^4.751 + t^4.812 + t^4.874 + t^5.063 + t^5.125 + 3*t^5.375 + 3*t^5.437 + t^5.626 + 4*t^5.688 + 3*t^5.749 - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
46232 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6515 | 0.8349 | 0.7802 | [M:[1.1089, 0.7822, 0.6732], q:[0.75, 0.4678], qb:[0.3589, 0.4232], phi:[0.5]] | t^2.02 + 2*t^2.346 + t^2.48 + t^3. + 2*t^3.327 + t^3.52 + t^3.654 + t^3.846 + 2*t^4.039 + t^4.173 + t^4.307 + 2*t^4.366 + t^4.5 + 3*t^4.693 + 2*t^4.827 + t^4.961 + t^5.02 + 4*t^5.346 + t^5.48 + t^5.539 + 4*t^5.673 + t^5.807 + 2*t^5.866 - t^4.5/y - t^4.5*y | detail |