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 |
---|---|---|---|---|---|---|---|---|---|
1800 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6264 | 0.8149 | 0.7686 | [M:[0.9832, 1.0505, 0.729, 0.7626], q:[0.7458, 0.271], qb:[0.4916, 0.4579], phi:[0.5084]] | [M:[[4], [-12], [5], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | -1 | 2*t^2.187 + 2*t^2.288 + t^2.95 + t^3.05 + 2*t^3.151 + t^3.611 + t^3.712 + t^4.273 + 4*t^4.374 + 5*t^4.475 + 3*t^4.576 + 2*t^5.136 + 4*t^5.237 + 5*t^5.338 + 3*t^5.439 + 2*t^5.798 + 3*t^5.899 - t^6. + 2*t^6.202 + 3*t^6.303 + 2*t^6.46 + 7*t^6.561 + 8*t^6.662 + 7*t^6.763 + 3*t^6.864 - t^6.964 + t^7.222 + 4*t^7.323 + 6*t^7.424 + 9*t^7.525 + 7*t^7.626 + 4*t^7.727 + t^7.884 + 4*t^7.985 + 3*t^8.086 - 3*t^8.187 - 4*t^8.288 + 2*t^8.389 + 7*t^8.49 + t^8.546 + 4*t^8.591 + 4*t^8.647 + 11*t^8.748 + 12*t^8.849 + 7*t^8.95 - t^4.525/y - t^6.712/y - t^6.813/y + (2*t^7.374)/y + (4*t^7.475)/y + t^7.576/y - t^7.677/y + (2*t^8.136)/y + (5*t^8.237)/y + (7*t^8.338)/y + (4*t^8.439)/y + (2*t^8.798)/y + (3*t^8.899)/y - t^4.525*y - t^6.712*y - t^6.813*y + 2*t^7.374*y + 4*t^7.475*y + t^7.576*y - t^7.677*y + 2*t^8.136*y + 5*t^8.237*y + 7*t^8.338*y + 4*t^8.439*y + 2*t^8.798*y + 3*t^8.899*y | 2*g1^5*t^2.187 + (2*t^2.288)/g1^3 + g1^4*t^2.95 + t^3.05/g1^4 + (2*t^3.151)/g1^12 + g1^11*t^3.611 + g1^3*t^3.712 + g1^18*t^4.273 + 4*g1^10*t^4.374 + 5*g1^2*t^4.475 + (3*t^4.576)/g1^6 + 2*g1^9*t^5.136 + 4*g1*t^5.237 + (5*t^5.338)/g1^7 + (3*t^5.439)/g1^15 + 2*g1^16*t^5.798 + 3*g1^8*t^5.899 - t^6. + (2*t^6.202)/g1^16 + (3*t^6.303)/g1^24 + 2*g1^23*t^6.46 + 7*g1^15*t^6.561 + 8*g1^7*t^6.662 + (7*t^6.763)/g1 + (3*t^6.864)/g1^9 - t^6.964/g1^17 + g1^22*t^7.222 + 4*g1^14*t^7.323 + 6*g1^6*t^7.424 + (9*t^7.525)/g1^2 + (7*t^7.626)/g1^10 + (4*t^7.727)/g1^18 + g1^29*t^7.884 + 4*g1^21*t^7.985 + 3*g1^13*t^8.086 - 3*g1^5*t^8.187 - (4*t^8.288)/g1^3 + (2*t^8.389)/g1^11 + (7*t^8.49)/g1^19 + g1^36*t^8.546 + (4*t^8.591)/g1^27 + 4*g1^28*t^8.647 + 11*g1^20*t^8.748 + 12*g1^12*t^8.849 + 7*g1^4*t^8.95 - t^4.525/(g1^2*y) - (g1^3*t^6.712)/y - t^6.813/(g1^5*y) + (2*g1^10*t^7.374)/y + (4*g1^2*t^7.475)/y + t^7.576/(g1^6*y) - t^7.677/(g1^14*y) + (2*g1^9*t^8.136)/y + (5*g1*t^8.237)/y + (7*t^8.338)/(g1^7*y) + (4*t^8.439)/(g1^15*y) + (2*g1^16*t^8.798)/y + (3*g1^8*t^8.899)/y - (t^4.525*y)/g1^2 - g1^3*t^6.712*y - (t^6.813*y)/g1^5 + 2*g1^10*t^7.374*y + 4*g1^2*t^7.475*y + (t^7.576*y)/g1^6 - (t^7.677*y)/g1^14 + 2*g1^9*t^8.136*y + 5*g1*t^8.237*y + (7*t^8.338*y)/g1^7 + (4*t^8.439*y)/g1^15 + 2*g1^16*t^8.798*y + 3*g1^8*t^8.899*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 |
---|---|---|---|---|---|---|---|---|
2815 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6449 | 0.8483 | 0.7603 | [M:[0.9852, 1.0443, 0.7316, 0.7611, 0.7611], q:[0.7463, 0.2684], qb:[0.4926, 0.4631], phi:[0.5074]] | 2*t^2.195 + 3*t^2.283 + t^2.956 + t^3.044 + 2*t^3.133 + t^3.628 + t^4.301 + 4*t^4.389 + 7*t^4.478 + 6*t^4.566 + 2*t^5.15 + 5*t^5.239 + 6*t^5.327 + 5*t^5.416 + 2*t^5.823 + 2*t^5.911 - 3*t^6. - t^4.522/y - t^4.522*y | detail | |
2814 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6438 | 0.846 | 0.761 | [M:[0.9915, 1.0254, 0.7394, 0.7563, 0.7733], q:[0.7479, 0.2606], qb:[0.4958, 0.4789], phi:[0.5042]] | 2*t^2.218 + 2*t^2.269 + t^2.32 + t^2.975 + t^3.025 + 2*t^3.076 + t^3.731 + t^4.386 + 4*t^4.437 + 5*t^4.487 + 5*t^4.538 + 2*t^4.589 + t^4.64 + 2*t^5.193 + 4*t^5.244 + 6*t^5.294 + 4*t^5.345 + 2*t^5.396 + t^5.949 - t^6. - t^4.513/y - t^4.513*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
357 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6272 | 0.8162 | 0.7685 | [M:[0.9767, 1.0698, 0.7442, 0.7442], q:[0.7442, 0.2791], qb:[0.4651, 0.4651], phi:[0.5116]] | 4*t^2.233 + t^2.93 + t^3.07 + 2*t^3.209 + 2*t^3.628 + 3*t^4.325 + 10*t^4.465 + 4*t^5.163 + 4*t^5.302 + 6*t^5.442 + 8*t^5.86 - 5*t^6. - t^4.535/y - t^4.535*y | detail |