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 |
---|---|---|---|---|---|---|---|---|---|
319 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.7036 | 0.8583 | 0.8198 | [M:[0.9501, 1.0499, 0.8504, 1.0499], q:[0.5748, 0.4751], qb:[0.5748, 0.4751], phi:[0.4751]] | [M:[[-2, -2], [2, 2], [-6, -6], [2, 2]], q:[[4, 6], [-2, -4]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -3 | t^2.551 + t^2.85 + 5*t^3.15 + 3*t^4.276 + 4*t^4.575 + 3*t^4.874 + t^5.102 + t^5.401 + 2*t^5.701 - 3*t^6. + 10*t^6.299 + 3*t^6.827 + 3*t^7.126 + 8*t^7.425 + t^7.653 + 8*t^7.724 + t^7.953 + 8*t^8.024 + 2*t^8.252 + 2*t^8.551 + 2*t^8.85 - t^4.425/y - t^6.976/y + t^7.874/y + t^8.401/y + (5*t^8.701)/y - t^4.425*y - t^6.976*y + t^7.874*y + t^8.401*y + 5*t^8.701*y | t^2.551/(g1^6*g2^6) + t^2.85/(g1^2*g2^2) + t^3.15/g2^4 + 3*g1^2*g2^2*t^3.15 + g1^4*g2^8*t^3.15 + t^4.276/(g1^5*g2^9) + t^4.276/(g1^3*g2^3) + (g2^3*t^4.276)/g1 + t^4.575/(g1*g2^5) + 2*g1*g2*t^4.575 + g1^3*g2^7*t^4.575 + (g1^3*t^4.874)/g2 + g1^5*g2^5*t^4.874 + g1^7*g2^11*t^4.874 + t^5.102/(g1^12*g2^12) + t^5.401/(g1^8*g2^8) + (2*t^5.701)/(g1^4*g2^4) - t^6. - t^6./(g1^2*g2^6) - g1^2*g2^6*t^6. + t^6.299/g2^8 + (2*g1^2*t^6.299)/g2^2 + 4*g1^4*g2^4*t^6.299 + 2*g1^6*g2^10*t^6.299 + g1^8*g2^16*t^6.299 + t^6.827/(g1^11*g2^15) + t^6.827/(g1^9*g2^9) + t^6.827/(g1^7*g2^3) + t^7.126/(g1^7*g2^11) + t^7.126/(g1^5*g2^5) + (g2*t^7.126)/g1^3 + t^7.425/(g1^5*g2^13) + (2*t^7.425)/(g1^3*g2^7) + (2*t^7.425)/(g1*g2) + 2*g1*g2^5*t^7.425 + g1^3*g2^11*t^7.425 + t^7.653/(g1^18*g2^18) + t^7.724/(g1*g2^9) + (2*g1*t^7.724)/g2^3 + 2*g1^3*g2^3*t^7.724 + 2*g1^5*g2^9*t^7.724 + g1^7*g2^15*t^7.724 + t^7.953/(g1^14*g2^14) + (g1^3*t^8.024)/g2^5 + 2*g1^5*g2*t^8.024 + 2*g1^7*g2^7*t^8.024 + 2*g1^9*g2^13*t^8.024 + g1^11*g2^19*t^8.024 + (2*t^8.252)/(g1^10*g2^10) + t^8.551/(g1^10*g2^18) + (g2^6*t^8.551)/g1^2 + t^8.85/(g1^6*g2^14) + g1^2*g2^10*t^8.85 - t^4.425/(g1*g2*y) - t^6.976/(g1^7*g2^7*y) + (g1^5*g2^5*t^7.874)/y + t^8.401/(g1^8*g2^8*y) + t^8.701/(g1^6*g2^10*y) + (3*t^8.701)/(g1^4*g2^4*y) + (g2^2*t^8.701)/(g1^2*y) - (t^4.425*y)/(g1*g2) - (t^6.976*y)/(g1^7*g2^7) + g1^5*g2^5*t^7.874*y + (t^8.401*y)/(g1^8*g2^8) + (t^8.701*y)/(g1^6*g2^10) + (3*t^8.701*y)/(g1^4*g2^4) + (g2^2*t^8.701*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
499 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6994 | 0.8518 | 0.8211 | [M:[0.9593, 1.0407, 0.8778, 1.0407, 1.0407], q:[0.5611, 0.4796], qb:[0.5611, 0.4796], phi:[0.4796]] | t^2.633 + 6*t^3.122 + 3*t^4.317 + 4*t^4.561 + 3*t^4.805 + t^5.267 + 2*t^5.756 - 8*t^6. - t^4.439/y - t^4.439*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 |
---|---|---|---|---|---|---|---|---|---|
203 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.7382 | 0.8885 | 0.8308 | [M:[0.8108, 1.1892, 0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*y | detail |