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 |
---|---|---|---|---|---|---|---|---|---|
1507 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ | 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]] | [M:[[0], [-4], [4], [-8], [2], [-2]], q:[[-1], [1]], qb:[[-3], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | 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^6.078 + t^6.156 + t^6.469 + t^6.913 + t^6.992 + 2*t^7.07 + 3*t^7.148 + 4*t^7.226 + 4*t^7.304 + 3*t^7.383 + t^7.461 + 2*t^7.539 + 2*t^7.617 + 2*t^7.696 + 3*t^7.93 + t^8.008 + t^8.062 - t^8.087 + t^8.165 + t^8.218 + t^8.243 + t^8.296 + t^8.374 + 2*t^8.453 + 3*t^8.531 + 2*t^8.609 + t^8.687 + 5*t^8.765 - 4*t^8.922 - t^4.461/y - t^7.148/y - t^7.383/y + t^7.539/y + t^7.774/y + t^8.531/y + (2*t^8.609)/y + t^8.687/y + (2*t^8.765)/y + (3*t^8.844)/y + (3*t^8.922)/y - t^4.461*y - t^7.148*y - t^7.383*y + t^7.539*y + t^7.774*y + t^8.531*y + 2*t^8.609*y + t^8.687*y + 2*t^8.765*y + 3*t^8.844*y + 3*t^8.922*y | t^2.687/g1^8 + t^2.844/g1^4 + (2*t^2.922)/g1^2 + t^3. + g1^4*t^3.156 + g1^6*t^3.235 + t^4.226/g1^7 + t^4.304/g1^5 + (2*t^4.383)/g1^3 + t^4.461/g1 + g1*t^4.539 + g1^3*t^4.617 + g1^5*t^4.696 + g1^7*t^4.774 + g1^13*t^5.008 + t^5.374/g1^16 + t^5.531/g1^12 + t^5.609/g1^10 + t^5.687/g1^8 + t^5.765/g1^6 + (4*t^5.844)/g1^4 + t^5.922/g1^2 - 2*t^6. + g1^2*t^6.078 + g1^4*t^6.156 + g1^12*t^6.469 + t^6.913/g1^15 + t^6.992/g1^13 + (2*t^7.07)/g1^11 + (3*t^7.148)/g1^9 + (4*t^7.226)/g1^7 + (4*t^7.304)/g1^5 + (3*t^7.383)/g1^3 + t^7.461/g1 + 2*g1*t^7.539 + 2*g1^3*t^7.617 + 2*g1^5*t^7.696 + 3*g1^11*t^7.93 + g1^13*t^8.008 + t^8.062/g1^24 - g1^15*t^8.087 + g1^17*t^8.165 + t^8.218/g1^20 + g1^19*t^8.243 + t^8.296/g1^18 + t^8.374/g1^16 + (2*t^8.453)/g1^14 + (3*t^8.531)/g1^12 + (2*t^8.609)/g1^10 + t^8.687/g1^8 + (5*t^8.765)/g1^6 - (4*t^8.922)/g1^2 - t^4.461/(g1*y) - t^7.148/(g1^9*y) - t^7.383/(g1^3*y) + (g1*t^7.539)/y + (g1^7*t^7.774)/y + t^8.531/(g1^12*y) + (2*t^8.609)/(g1^10*y) + t^8.687/(g1^8*y) + (2*t^8.765)/(g1^6*y) + (3*t^8.844)/(g1^4*y) + (3*t^8.922)/(g1^2*y) - (t^4.461*y)/g1 - (t^7.148*y)/g1^9 - (t^7.383*y)/g1^3 + g1*t^7.539*y + g1^7*t^7.774*y + (t^8.531*y)/g1^12 + (2*t^8.609*y)/g1^10 + (t^8.687*y)/g1^8 + (2*t^8.765*y)/g1^6 + (3*t^8.844*y)/g1^4 + (3*t^8.922*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 |
---|---|---|---|---|---|---|---|---|
2602 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{3}M_{7}$ | 0.7056 | 0.8691 | 0.8119 | [M:[1.0, 0.9336, 1.0664, 0.8672, 1.0332, 0.9668, 0.9336], q:[0.4834, 0.5166], qb:[0.4502, 0.6162], phi:[0.4834]] | t^2.601 + 2*t^2.801 + 2*t^2.9 + t^3. + t^3.299 + t^4.151 + t^4.251 + 2*t^4.351 + t^4.45 + t^4.55 + t^4.649 + t^4.749 + t^4.849 + t^5.148 + t^5.203 + 2*t^5.402 + t^5.502 + 3*t^5.601 + 3*t^5.701 + 4*t^5.801 + t^5.9 - 3*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.466/y - t^4.466*y | detail |