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 |
---|---|---|---|---|---|---|---|---|---|
2543 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{6}M_{7}$ | 0.6959 | 0.8548 | 0.8141 | [M:[0.9339, 1.0472, 0.9528, 1.0283, 0.9717, 1.0094, 0.9906], q:[0.5425, 0.5236], qb:[0.5047, 0.4481], phi:[0.4953]] | [M:[[14], [-10], [10], [-6], [6], [-2], [2]], q:[[-9], [-5]], qb:[[-1], [11]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | t^2.802 + t^2.858 + t^2.915 + 2*t^2.972 + t^3.085 + t^3.142 + t^4.174 + t^4.344 + t^4.401 + t^4.457 + t^4.514 + t^4.571 + 2*t^4.628 + t^4.684 + t^4.741 + t^5.603 + t^5.66 + t^5.717 + 2*t^5.773 + 2*t^5.83 + 2*t^5.887 + 3*t^5.943 - 2*t^6. + t^6.113 + t^6.976 + t^7.032 + t^7.089 + 3*t^7.146 + 2*t^7.259 + 4*t^7.316 + 2*t^7.372 + 3*t^7.429 + 2*t^7.486 + 2*t^7.543 + 4*t^7.599 + t^7.656 + 2*t^7.713 + t^7.826 + t^7.883 + t^8.348 + t^8.405 + t^8.462 + 2*t^8.518 + 3*t^8.575 + 2*t^8.632 + 2*t^8.688 + 4*t^8.745 + 2*t^8.802 + t^8.915 - 5*t^8.972 - t^4.486/y - t^7.287/y - t^7.457/y + t^7.514/y + t^7.684/y + t^8.66/y + t^8.717/y + (3*t^8.773)/y + (2*t^8.83)/y + (3*t^8.887)/y + (3*t^8.943)/y - t^4.486*y - t^7.287*y - t^7.457*y + t^7.514*y + t^7.684*y + t^8.66*y + t^8.717*y + 3*t^8.773*y + 2*t^8.83*y + 3*t^8.887*y + 3*t^8.943*y | g1^14*t^2.802 + g1^10*t^2.858 + g1^6*t^2.915 + 2*g1^2*t^2.972 + t^3.085/g1^6 + t^3.142/g1^10 + g1^23*t^4.174 + g1^11*t^4.344 + g1^7*t^4.401 + g1^3*t^4.457 + t^4.514/g1 + t^4.571/g1^5 + (2*t^4.628)/g1^9 + t^4.684/g1^13 + t^4.741/g1^17 + g1^28*t^5.603 + g1^24*t^5.66 + g1^20*t^5.717 + 2*g1^16*t^5.773 + 2*g1^12*t^5.83 + 2*g1^8*t^5.887 + 3*g1^4*t^5.943 - 2*t^6. + t^6.113/g1^8 + g1^37*t^6.976 + g1^33*t^7.032 + g1^29*t^7.089 + 3*g1^25*t^7.146 + 2*g1^17*t^7.259 + 4*g1^13*t^7.316 + 2*g1^9*t^7.372 + 3*g1^5*t^7.429 + 2*g1*t^7.486 + (2*t^7.543)/g1^3 + (4*t^7.599)/g1^7 + t^7.656/g1^11 + (2*t^7.713)/g1^15 + t^7.826/g1^23 + t^7.883/g1^27 + g1^46*t^8.348 + g1^42*t^8.405 + g1^38*t^8.462 + 2*g1^34*t^8.518 + 3*g1^30*t^8.575 + 2*g1^26*t^8.632 + 2*g1^22*t^8.688 + 4*g1^18*t^8.745 + 2*g1^14*t^8.802 + g1^6*t^8.915 - 5*g1^2*t^8.972 - (g1*t^4.486)/y - (g1^15*t^7.287)/y - (g1^3*t^7.457)/y + t^7.514/(g1*y) + t^7.684/(g1^13*y) + (g1^24*t^8.66)/y + (g1^20*t^8.717)/y + (3*g1^16*t^8.773)/y + (2*g1^12*t^8.83)/y + (3*g1^8*t^8.887)/y + (3*g1^4*t^8.943)/y - g1*t^4.486*y - g1^15*t^7.287*y - g1^3*t^7.457*y + (t^7.514*y)/g1 + (t^7.684*y)/g1^13 + g1^24*t^8.66*y + g1^20*t^8.717*y + 3*g1^16*t^8.773*y + 2*g1^12*t^8.83*y + 3*g1^8*t^8.887*y + 3*g1^4*t^8.943*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 |
---|---|---|---|---|---|---|---|---|
4621 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ | 0.7013 | 0.8657 | 0.8101 | [M:[0.9042, 1.0684, 0.9316, 1.0411, 0.9589, 1.0137, 0.9863, 0.9316], q:[0.5616, 0.5342], qb:[0.5068, 0.4247], phi:[0.4932]] | t^2.713 + 2*t^2.795 + t^2.877 + 2*t^2.959 + t^3.123 + t^4.028 + t^4.274 + t^4.356 + t^4.438 + t^4.521 + t^4.603 + 2*t^4.685 + t^4.767 + t^4.849 + t^5.425 + 2*t^5.507 + 3*t^5.589 + 3*t^5.672 + 4*t^5.754 + 2*t^5.836 + 3*t^5.918 - 3*t^6. - t^4.479/y - t^4.479*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 |
---|---|---|---|---|---|---|---|---|---|
1454 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6951 | 0.8532 | 0.8147 | [M:[0.9402, 1.0427, 0.9573, 1.0256, 0.9744, 1.0085], q:[0.5384, 0.5214], qb:[0.5043, 0.453], phi:[0.4957]] | t^2.821 + t^2.872 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.205 + t^4.359 + t^4.41 + t^4.462 + t^4.513 + t^4.564 + 2*t^4.615 + t^4.667 + t^4.718 + t^5.641 + t^5.692 + t^5.744 + t^5.795 + 2*t^5.846 + 2*t^5.897 + 2*t^5.949 - t^6. - t^4.487/y - t^4.487*y | detail |