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 |
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970 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.6978 | 0.8548 | 0.8164 | [M:[1.0, 0.9552, 1.0448, 0.9105, 1.0224], q:[0.4888, 0.5112], qb:[0.4664, 0.5784], phi:[0.4888]] | [M:[[0], [-4], [4], [-8], [2]], q:[[-1], [1]], qb:[[-3], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.731 + t^2.866 + t^2.933 + t^3. + t^3.067 + t^3.134 + t^3.201 + t^4.265 + t^4.332 + 2*t^4.399 + t^4.466 + t^4.534 + t^4.601 + t^4.668 + t^4.735 + t^4.937 + t^5.463 + t^5.597 + t^5.731 + t^5.799 + 2*t^5.866 + t^5.933 - t^6. + t^6.067 + t^6.134 + t^6.201 + t^6.269 + t^6.403 + t^6.996 + t^7.063 + 2*t^7.131 + 2*t^7.198 + 3*t^7.265 + 3*t^7.332 + 3*t^7.399 + 2*t^7.466 + 2*t^7.534 + 2*t^7.601 + 2*t^7.668 + t^7.735 + t^7.802 + 2*t^7.869 + t^7.937 + t^8.071 + t^8.138 + t^8.194 + t^8.328 + t^8.463 + 2*t^8.53 + 2*t^8.597 + 2*t^8.664 + 2*t^8.799 - t^4.466/y - t^7.198/y + t^7.735/y + t^8.597/y + t^8.664/y + t^8.731/y + (2*t^8.799)/y + (2*t^8.866)/y + (3*t^8.933)/y - t^4.466*y - t^7.198*y + t^7.735*y + t^8.597*y + t^8.664*y + t^8.731*y + 2*t^8.799*y + 2*t^8.866*y + 3*t^8.933*y | t^2.731/g1^8 + t^2.866/g1^4 + t^2.933/g1^2 + t^3. + g1^2*t^3.067 + g1^4*t^3.134 + g1^6*t^3.201 + t^4.265/g1^7 + t^4.332/g1^5 + (2*t^4.399)/g1^3 + t^4.466/g1 + g1*t^4.534 + g1^3*t^4.601 + g1^5*t^4.668 + g1^7*t^4.735 + g1^13*t^4.937 + t^5.463/g1^16 + t^5.597/g1^12 + t^5.731/g1^8 + t^5.799/g1^6 + (2*t^5.866)/g1^4 + t^5.933/g1^2 - t^6. + g1^2*t^6.067 + g1^4*t^6.134 + g1^6*t^6.201 + g1^8*t^6.269 + g1^12*t^6.403 + t^6.996/g1^15 + t^7.063/g1^13 + (2*t^7.131)/g1^11 + (2*t^7.198)/g1^9 + (3*t^7.265)/g1^7 + (3*t^7.332)/g1^5 + (3*t^7.399)/g1^3 + (2*t^7.466)/g1 + 2*g1*t^7.534 + 2*g1^3*t^7.601 + 2*g1^5*t^7.668 + g1^7*t^7.735 + g1^9*t^7.802 + 2*g1^11*t^7.869 + g1^13*t^7.937 + g1^17*t^8.071 + g1^19*t^8.138 + t^8.194/g1^24 + t^8.328/g1^20 + t^8.463/g1^16 + (2*t^8.53)/g1^14 + (2*t^8.597)/g1^12 + (2*t^8.664)/g1^10 + (2*t^8.799)/g1^6 - t^4.466/(g1*y) - t^7.198/(g1^9*y) + (g1^7*t^7.735)/y + t^8.597/(g1^12*y) + t^8.664/(g1^10*y) + t^8.731/(g1^8*y) + (2*t^8.799)/(g1^6*y) + (2*t^8.866)/(g1^4*y) + (3*t^8.933)/(g1^2*y) - (t^4.466*y)/g1 - (t^7.198*y)/g1^9 + g1^7*t^7.735*y + (t^8.597*y)/g1^12 + (t^8.664*y)/g1^10 + (t^8.731*y)/g1^8 + (2*t^8.799*y)/g1^6 + (2*t^8.866*y)/g1^4 + (3*t^8.933*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 |
---|---|---|---|---|---|---|---|---|
1509 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.6943 | 0.8491 | 0.8177 | [M:[1.0, 0.9698, 1.0302, 0.9397, 1.0151, 1.0302], q:[0.4925, 0.5075], qb:[0.4774, 0.5528], phi:[0.4925]] | t^2.819 + t^2.955 + t^3. + t^3.045 + 2*t^3.09 + t^3.136 + t^4.342 + t^4.387 + 2*t^4.432 + t^4.477 + t^4.523 + t^4.568 + t^4.613 + t^4.658 + t^4.794 + t^5.638 + 2*t^5.91 - 2*t^6. - t^4.477/y - t^4.477*y | detail | |
1508 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ | 0.7026 | 0.8635 | 0.8137 | [M:[1.0, 0.9408, 1.0592, 0.8817, 1.0296, 0.9408], q:[0.4852, 0.5148], qb:[0.4556, 0.6035], phi:[0.4852]] | t^2.645 + 2*t^2.823 + t^2.911 + t^3. + t^3.089 + t^3.266 + t^4.189 + t^4.278 + 2*t^4.367 + t^4.456 + t^4.544 + t^4.633 + t^4.722 + t^4.811 + t^5.077 + t^5.29 + 2*t^5.468 + 3*t^5.645 + 2*t^5.734 + 2*t^5.823 + 2*t^5.911 - 2*t^6. - t^4.456/y - t^4.456*y | detail | |
1507 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ | 0.7001 | 0.8588 | 0.8152 | [M:[1.0, 0.9479, 1.0521, 0.8957, 1.0261, 0.9739], q:[0.487, 0.513], qb:[0.4609, 0.5912], phi:[0.487]] | t^2.687 + t^2.844 + 2*t^2.922 + t^3. + t^3.156 + t^3.235 + t^4.226 + t^4.304 + 2*t^4.383 + t^4.461 + t^4.539 + t^4.617 + t^4.696 + t^4.774 + t^5.008 + t^5.374 + t^5.531 + t^5.609 + t^5.687 + t^5.765 + 4*t^5.844 + t^5.922 - 2*t^6. - t^4.461/y - t^4.461*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 |
---|---|---|---|---|---|---|---|---|---|
603 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.7071 | 0.865 | 0.8174 | [M:[1.0, 0.8897, 0.9506, 0.9391, 1.0552], q:[0.5523, 0.4477], qb:[0.4971, 0.6132], phi:[0.4724]] | t^2.669 + t^2.817 + t^2.835 + t^2.852 + t^3. + t^3.165 + t^3.496 + t^4.104 + t^4.252 + t^4.4 + t^4.417 + t^4.565 + t^4.6 + t^4.731 + t^4.748 + t^4.914 + t^5.096 + t^5.338 + t^5.486 + t^5.521 + t^5.634 + 3*t^5.669 + t^5.704 + t^5.835 + t^5.983 - 2*t^6. - t^4.417/y - t^4.417*y | detail |