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 |
---|---|---|---|---|---|---|---|---|---|
2691 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6434 | 0.7824 | 0.8224 | [M:[1.0102, 0.7766, 0.9518, 0.835, 1.165, 1.0482, 1.2234], q:[0.6015, 0.3883], qb:[0.4467, 0.7766], phi:[0.4467]] | [M:[[-18], [2], [-13], [-3], [3], [13], [-2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.505 + t^2.68 + t^3.03 + t^3.145 + t^3.495 + 2*t^3.67 + t^3.845 + t^4.02 + t^4.134 + t^4.31 + t^4.485 + t^4.949 + t^5.01 + t^5.185 + t^5.65 + t^5.711 - 2*t^6. + t^6.061 + 2*t^6.175 + t^6.289 + 2*t^6.35 - t^6.464 + 2*t^6.525 + 2*t^6.701 + 2*t^6.815 + t^6.99 + t^7.051 + 2*t^7.165 + t^7.279 + t^7.34 + t^7.454 + 3*t^7.515 + 2*t^7.629 + 3*t^7.69 + t^7.866 + 2*t^7.98 + t^8.041 + t^8.094 + 2*t^8.155 + t^8.391 + t^8.444 - 2*t^8.505 + 2*t^8.619 - 2*t^8.68 + t^8.741 + t^8.794 + t^8.855 - t^4.34/y - t^7.02/y + t^7.31/y - t^7.371/y + t^7.66/y + t^8.185/y + t^8.536/y + t^8.65/y + t^8.711/y + t^8.825/y - t^4.34*y - t^7.02*y + t^7.31*y - t^7.371*y + t^7.66*y + t^8.185*y + t^8.536*y + t^8.65*y + t^8.711*y + t^8.825*y | t^2.505/g1^3 + t^2.68/g1^8 + t^3.03/g1^18 + g1^13*t^3.145 + g1^3*t^3.495 + (2*t^3.67)/g1^2 + t^3.845/g1^7 + t^4.02/g1^12 + g1^19*t^4.134 + g1^14*t^4.31 + g1^9*t^4.485 + g1^30*t^4.949 + t^5.01/g1^6 + t^5.185/g1^11 + g1^10*t^5.65 + t^5.711/g1^26 - 2*t^6. + t^6.061/g1^36 + (2*t^6.175)/g1^5 + g1^26*t^6.289 + (2*t^6.35)/g1^10 - g1^21*t^6.464 + (2*t^6.525)/g1^15 + (2*t^6.701)/g1^20 + 2*g1^11*t^6.815 + g1^6*t^6.99 + t^7.051/g1^30 + 2*g1*t^7.165 + g1^32*t^7.279 + t^7.34/g1^4 + g1^27*t^7.454 + (3*t^7.515)/g1^9 + 2*g1^22*t^7.629 + (3*t^7.69)/g1^14 + t^7.866/g1^19 + 2*g1^12*t^7.98 + t^8.041/g1^24 + g1^43*t^8.094 + 2*g1^7*t^8.155 + t^8.391/g1^34 + g1^33*t^8.444 - (2*t^8.505)/g1^3 + 2*g1^28*t^8.619 - (2*t^8.68)/g1^8 + t^8.741/g1^44 + g1^23*t^8.794 + t^8.855/g1^13 - t^4.34/(g1^4*y) - t^7.02/(g1^12*y) + (g1^14*t^7.31)/y - t^7.371/(g1^22*y) + (g1^4*t^7.66)/y + t^8.185/(g1^11*y) + t^8.536/(g1^21*y) + (g1^10*t^8.65)/y + t^8.711/(g1^26*y) + (g1^5*t^8.825)/y - (t^4.34*y)/g1^4 - (t^7.02*y)/g1^12 + g1^14*t^7.31*y - (t^7.371*y)/g1^22 + g1^4*t^7.66*y + (t^8.185*y)/g1^11 + (t^8.536*y)/g1^21 + g1^10*t^8.65*y + (t^8.711*y)/g1^26 + g1^5*t^8.825*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 |
---|---|---|---|---|---|---|---|---|
4864 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6577 | 0.807 | 0.815 | [M:[1.0019, 0.7776, 0.9458, 0.8337, 1.1663, 1.0542, 1.2224, 0.8337], q:[0.6093, 0.3888], qb:[0.4449, 0.7776], phi:[0.4449]] | 2*t^2.501 + t^2.669 + t^3.006 + t^3.162 + 2*t^3.667 + t^3.836 + t^4.004 + t^4.161 + t^4.329 + t^4.497 + t^4.99 + 3*t^5.002 + 2*t^5.17 + t^5.507 + 2*t^5.663 + t^5.675 - 3*t^6. - t^4.335/y - t^4.335*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 |
---|---|---|---|---|---|---|---|---|---|
1559 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6612 | 0.8142 | 0.8121 | [M:[1.0142, 0.7762, 0.9547, 0.8357, 1.1643, 1.0453], q:[0.5977, 0.3881], qb:[0.4476, 0.7762], phi:[0.4476]] | t^2.329 + t^2.507 + t^2.686 + t^3.042 + t^3.136 + t^3.493 + t^3.671 + t^3.85 + t^4.028 + t^4.122 + t^4.3 + t^4.479 + t^4.657 + t^4.836 + t^4.929 + 2*t^5.014 + t^5.193 + t^5.371 + t^5.465 + t^5.643 + t^5.728 + t^5.822 - t^6. - t^4.343/y - t^4.343*y | detail |