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 |
---|---|---|---|---|---|---|---|---|---|
2199 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6953 | 0.8828 | 0.7876 | [M:[0.9789, 1.0834, 1.1457, 0.8543, 0.6874, 0.8543, 0.6874], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | [M:[[13], [-4], [5], [-5], [3], [-5], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}$ | -2 | 2*t^2.062 + 2*t^2.563 + t^2.75 + t^2.937 + t^3.25 + t^3.624 + t^3.751 + 4*t^4.125 + t^4.251 + t^4.438 + 5*t^4.625 + 2*t^4.812 + 2*t^4.999 + 3*t^5.126 + 4*t^5.313 + 2*t^5.5 + 2*t^5.686 + 3*t^5.813 + t^5.873 - 2*t^6. + 7*t^6.187 + 3*t^6.314 + t^6.374 + t^6.5 + t^6.561 + 8*t^6.687 + 2*t^6.814 + 2*t^6.874 + 3*t^7.001 + 3*t^7.061 + 6*t^7.188 + t^7.248 + 7*t^7.375 + t^7.501 + 3*t^7.562 + 2*t^7.688 + 4*t^7.749 + 6*t^7.875 + 2*t^7.936 + t^8.002 - 3*t^8.062 + 11*t^8.249 + 5*t^8.376 + 3*t^8.436 + t^8.502 - 5*t^8.563 + 2*t^8.623 + t^8.689 + 10*t^8.75 + t^8.81 + 6*t^8.876 - t^4.375/y - (2*t^6.437)/y - t^6.938/y + t^7.125/y - t^7.312/y + t^7.438/y + (4*t^7.625)/y + (3*t^7.812)/y + (2*t^7.999)/y + t^8.126/y + (6*t^8.313)/y - t^8.5/y + (3*t^8.686)/y + (4*t^8.813)/y - t^4.375*y - 2*t^6.437*y - t^6.938*y + t^7.125*y - t^7.312*y + t^7.438*y + 4*t^7.625*y + 3*t^7.812*y + 2*t^7.999*y + t^8.126*y + 6*t^8.313*y - t^8.5*y + 3*t^8.686*y + 4*t^8.813*y | 2*g1^3*t^2.062 + (2*t^2.563)/g1^5 + g1^4*t^2.75 + g1^13*t^2.937 + t^3.25/g1^4 + g1^14*t^3.624 + t^3.751/g1^12 + 4*g1^6*t^4.125 + t^4.251/g1^20 + t^4.438/g1^11 + (5*t^4.625)/g1^2 + 2*g1^7*t^4.812 + 2*g1^16*t^4.999 + (3*t^5.126)/g1^10 + (4*t^5.313)/g1 + 2*g1^8*t^5.5 + 2*g1^17*t^5.686 + (3*t^5.813)/g1^9 + g1^26*t^5.873 - 2*t^6. + 7*g1^9*t^6.187 + (3*t^6.314)/g1^17 + g1^18*t^6.374 + t^6.5/g1^8 + g1^27*t^6.561 + 8*g1*t^6.687 + (2*t^6.814)/g1^25 + 2*g1^10*t^6.874 + (3*t^7.001)/g1^16 + 3*g1^19*t^7.061 + (6*t^7.188)/g1^7 + g1^28*t^7.248 + 7*g1^2*t^7.375 + t^7.501/g1^24 + 3*g1^11*t^7.562 + (2*t^7.688)/g1^15 + 4*g1^20*t^7.749 + (6*t^7.875)/g1^6 + 2*g1^29*t^7.936 + t^8.002/g1^32 - 3*g1^3*t^8.062 + 11*g1^12*t^8.249 + (5*t^8.376)/g1^14 + 3*g1^21*t^8.436 + t^8.502/g1^40 - (5*t^8.563)/g1^5 + 2*g1^30*t^8.623 + t^8.689/g1^31 + 10*g1^4*t^8.75 + g1^39*t^8.81 + (6*t^8.876)/g1^22 - (g1^2*t^4.375)/y - (2*g1^5*t^6.437)/y - t^6.938/(g1^3*y) + (g1^6*t^7.125)/y - (g1^15*t^7.312)/y + t^7.438/(g1^11*y) + (4*t^7.625)/(g1^2*y) + (3*g1^7*t^7.812)/y + (2*g1^16*t^7.999)/y + t^8.126/(g1^10*y) + (6*t^8.313)/(g1*y) - (g1^8*t^8.5)/y + (3*g1^17*t^8.686)/y + (4*t^8.813)/(g1^9*y) - g1^2*t^4.375*y - 2*g1^5*t^6.437*y - (t^6.938*y)/g1^3 + g1^6*t^7.125*y - g1^15*t^7.312*y + (t^7.438*y)/g1^11 + (4*t^7.625*y)/g1^2 + 3*g1^7*t^7.812*y + 2*g1^16*t^7.999*y + (t^8.126*y)/g1^10 + (6*t^8.313*y)/g1 - g1^8*t^8.5*y + 3*g1^17*t^8.686*y + (4*t^8.813*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
4198 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7131 | 0.9153 | 0.779 | [M:[1.005, 1.0754, 1.1558, 0.8442, 0.6935, 0.8442, 0.6935, 0.7639], q:[0.7688, 0.5377], qb:[0.4573, 0.3869], phi:[0.4623]] | 2*t^2.08 + t^2.292 + 2*t^2.533 + t^2.774 + t^3.015 + t^3.226 + t^3.679 + t^4.131 + 4*t^4.161 + 3*t^4.372 + t^4.583 + 5*t^4.613 + 2*t^4.824 + 2*t^4.854 + 4*t^5.065 + 2*t^5.095 + 5*t^5.307 + t^5.518 + 2*t^5.548 + 3*t^5.759 + t^5.97 - 2*t^6. - t^4.387/y - t^4.387*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 |
---|---|---|---|---|---|---|---|---|---|
1138 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6746 | 0.8426 | 0.8006 | [M:[0.9803, 1.083, 1.1463, 0.8537, 0.6878, 0.8537], q:[0.7707, 0.5415], qb:[0.4782, 0.3755], phi:[0.4585]] | t^2.063 + 2*t^2.561 + t^2.751 + t^2.941 + t^3.249 + t^3.629 + t^3.747 + t^3.937 + 2*t^4.127 + t^4.245 + t^4.435 + 3*t^4.624 + t^4.814 + t^5.004 + 3*t^5.122 + 3*t^5.312 + 2*t^5.502 + t^5.692 + 2*t^5.81 + t^5.882 - t^6. - t^4.376/y - t^4.376*y | detail |