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 |
---|---|---|---|---|---|---|---|---|---|
46145 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6955 | 0.8466 | 0.8215 | [M:[1.0, 0.7479, 1.0, 0.9217], q:[0.4608, 0.5392], qb:[0.7913, 0.5392], phi:[0.4174]] | [M:[[-7, 1], [6, 0], [7, -1], [-14, 0]], q:[[-7, 0], [14, -1]], qb:[[1, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}^{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -2 | t^2.244 + t^2.504 + t^2.765 + 2*t^3. + 2*t^3.991 + t^4.017 + 2*t^4.252 + 4*t^4.487 + t^4.748 + 2*t^5.009 + 2*t^5.244 + t^5.269 + 2*t^5.504 + t^5.53 - 2*t^6. + 2*t^6.496 + t^6.521 + 4*t^6.731 + 2*t^6.756 + t^6.782 + 6*t^6.991 + 2*t^7.017 + 4*t^7.252 + 4*t^7.487 + t^7.513 + 2*t^7.774 + 2*t^8.009 + 2*t^8.034 - 2*t^8.244 + 2*t^8.269 + t^8.295 + 4*t^8.479 + 2*t^8.739 - 3*t^8.765 + 9*t^8.974 - t^4.252/y - t^6.496/y - t^6.756/y - t^7.017/y + t^7.487/y + (2*t^7.748)/y + (2*t^8.009)/y + (2*t^8.244)/y + t^8.269/y + (2*t^8.504)/y - t^8.739/y + (2*t^8.765)/y - t^4.252*y - t^6.496*y - t^6.756*y - t^7.017*y + t^7.487*y + 2*t^7.748*y + 2*t^8.009*y + 2*t^8.244*y + t^8.269*y + 2*t^8.504*y - t^8.739*y + 2*t^8.765*y | g1^6*t^2.244 + t^2.504/g1^4 + t^2.765/g1^14 + (g1^7*t^3.)/g2 + (g2*t^3.)/g1^7 + (g1^15*t^3.991)/g2 + g1*g2*t^3.991 + t^4.017/g1^16 + (g1^5*t^4.252)/g2 + (g2*t^4.252)/g1^9 + 2*g1^12*t^4.487 + (g1^26*t^4.487)/g2^2 + (g2^2*t^4.487)/g1^2 + g1^2*t^4.748 + (2*t^5.009)/g1^8 + (g1^13*t^5.244)/g2 + (g2*t^5.244)/g1 + t^5.269/g1^18 + (g1^3*t^5.504)/g2 + (g2*t^5.504)/g1^11 + t^5.53/g1^28 - 2*t^6. + (g1^11*t^6.496)/g2 + (g2*t^6.496)/g1^3 + t^6.521/g1^20 + 2*g1^18*t^6.731 + (g1^32*t^6.731)/g2^2 + g1^4*g2^2*t^6.731 + (g1*t^6.756)/g2 + (g2*t^6.756)/g1^13 + t^6.782/g1^30 + 2*g1^8*t^6.991 + (2*g1^22*t^6.991)/g2^2 + (2*g2^2*t^6.991)/g1^6 + t^7.017/(g1^9*g2) + (g2*t^7.017)/g1^23 + (2*t^7.252)/g1^2 + (g1^12*t^7.252)/g2^2 + (g2^2*t^7.252)/g1^16 + (g1^33*t^7.487)/g2^3 + (g1^19*t^7.487)/g2 + g1^5*g2*t^7.487 + (g2^3*t^7.487)/g1^9 + t^7.513/g1^12 + (2*t^7.774)/g1^22 + t^8.009/(g1*g2) + (g2*t^8.009)/g1^15 + (2*t^8.034)/g1^32 - 2*g1^6*t^8.244 + t^8.269/(g1^11*g2) + (g2*t^8.269)/g1^25 + t^8.295/g1^42 + (g1^41*t^8.479)/g2^3 + (g1^27*t^8.479)/g2 + g1^13*g2*t^8.479 + (g2^3*t^8.479)/g1 - (2*t^8.504)/g1^4 + (g1^10*t^8.504)/g2^2 + (g2^2*t^8.504)/g1^18 + (g1^31*t^8.739)/g2^3 + (g2^3*t^8.739)/g1^11 - (3*t^8.765)/g1^14 + 3*g1^24*t^8.974 + (g1^52*t^8.974)/g2^4 + (2*g1^38*t^8.974)/g2^2 + 2*g1^10*g2^2*t^8.974 + (g2^4*t^8.974)/g1^4 - t^4.252/(g1^2*y) - (g1^4*t^6.496)/y - t^6.756/(g1^6*y) - t^7.017/(g1^16*y) + (g1^12*t^7.487)/y + (2*g1^2*t^7.748)/y + (2*t^8.009)/(g1^8*y) + (g1^13*t^8.244)/(g2*y) + (g2*t^8.244)/(g1*y) + t^8.269/(g1^18*y) + (g1^3*t^8.504)/(g2*y) + (g2*t^8.504)/(g1^11*y) - (g1^10*t^8.739)/y + t^8.765/(g1^7*g2*y) + (g2*t^8.765)/(g1^21*y) - (t^4.252*y)/g1^2 - g1^4*t^6.496*y - (t^6.756*y)/g1^6 - (t^7.017*y)/g1^16 + g1^12*t^7.487*y + 2*g1^2*t^7.748*y + (2*t^8.009*y)/g1^8 + (g1^13*t^8.244*y)/g2 + (g2*t^8.244*y)/g1 + (t^8.269*y)/g1^18 + (g1^3*t^8.504*y)/g2 + (g2*t^8.504*y)/g1^11 - g1^10*t^8.739*y + (t^8.765*y)/(g1^7*g2) + (g2*t^8.765*y)/g1^21 |
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 |
---|---|---|---|---|---|---|---|---|
46542 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6566 | 0.8083 | 0.8123 | [M:[1.1451, 0.7177, 0.8549, 0.9921], q:[0.496, 0.3588], qb:[0.7863, 0.6491], phi:[0.4274]] | t^2.153 + 2*t^2.565 + t^2.976 + 3*t^3.435 + t^3.847 + t^4.259 + 3*t^4.306 + 3*t^4.718 + 3*t^5.129 + t^5.177 + t^5.541 + 2*t^5.588 + t^5.953 + 3*t^6. - t^4.282/y - t^4.282*y | detail | |
46429 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6321 | 0.7818 | 0.8086 | [M:[0.817, 0.817, 1.183, 0.7604], q:[0.3802, 0.8028], qb:[0.8028, 0.4368], phi:[0.3943]] | t^2.281 + t^2.366 + 2*t^2.451 + t^3.464 + t^3.549 + t^3.634 + t^3.719 + t^3.804 + t^4.562 + t^4.647 + 3*t^4.732 + 3*t^4.817 + 3*t^4.902 + t^5.746 + t^5.83 + 2*t^5.915 + t^6. - t^4.183/y - t^4.183*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 |
---|---|---|---|---|---|---|---|---|---|
46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y | detail |