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 |
---|---|---|---|---|---|---|---|---|---|
781 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.7289 | 0.8891 | 0.8198 | [M:[0.8745, 1.1255, 0.8745, 1.0, 0.7491], q:[0.6255, 0.5], qb:[0.5, 0.6255], phi:[0.4373]] | [M:[[-2], [2], [-2], [0], [-4]], q:[[2], [0]], qb:[[0], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.247 + 2*t^2.624 + t^3. + 3*t^3.376 + 3*t^4.312 + t^4.494 + 4*t^4.688 + 2*t^4.871 + 3*t^5.065 + 4*t^5.247 + t^5.624 - t^6. - t^6.376 + 3*t^6.559 + t^6.742 + 5*t^6.753 + 6*t^6.935 + 2*t^7.118 + 7*t^7.312 + 4*t^7.494 + 8*t^7.688 + 5*t^7.871 + 4*t^8.065 - 3*t^8.247 + 2*t^8.441 - t^8.624 + 3*t^8.806 + t^8.989 - t^4.312/y - t^6.559/y - (2*t^6.935)/y + (2*t^7.688)/y + (2*t^7.871)/y + t^8.065/y + (2*t^8.247)/y + (5*t^8.624)/y - t^8.806/y - t^4.312*y - t^6.559*y - 2*t^6.935*y + 2*t^7.688*y + 2*t^7.871*y + t^8.065*y + 2*t^8.247*y + 5*t^8.624*y - t^8.806*y | t^2.247/g1^4 + (2*t^2.624)/g1^2 + t^3. + 3*g1^2*t^3.376 + (3*t^4.312)/g1 + t^4.494/g1^8 + 4*g1*t^4.688 + (2*t^4.871)/g1^6 + 3*g1^3*t^5.065 + (4*t^5.247)/g1^4 + t^5.624/g1^2 - t^6. - g1^2*t^6.376 + (3*t^6.559)/g1^5 + t^6.742/g1^12 + 5*g1^4*t^6.753 + (6*t^6.935)/g1^3 + (2*t^7.118)/g1^10 + (7*t^7.312)/g1 + (4*t^7.494)/g1^8 + 8*g1*t^7.688 + (5*t^7.871)/g1^6 + 4*g1^3*t^8.065 - (3*t^8.247)/g1^4 + 2*g1^5*t^8.441 - t^8.624/g1^2 + (3*t^8.806)/g1^9 + t^8.989/g1^16 - t^4.312/(g1*y) - t^6.559/(g1^5*y) - (2*t^6.935)/(g1^3*y) + (2*g1*t^7.688)/y + (2*t^7.871)/(g1^6*y) + (g1^3*t^8.065)/y + (2*t^8.247)/(g1^4*y) + (5*t^8.624)/(g1^2*y) - t^8.806/(g1^9*y) - (t^4.312*y)/g1 - (t^6.559*y)/g1^5 - (2*t^6.935*y)/g1^3 + 2*g1*t^7.688*y + (2*t^7.871*y)/g1^6 + g1^3*t^8.065*y + (2*t^8.247*y)/g1^4 + (5*t^8.624*y)/g1^2 - (t^8.806*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 |
---|---|---|---|---|---|---|---|---|
1265 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{6}$ | 0.7184 | 0.8712 | 0.8246 | [M:[0.891, 1.109, 0.891, 1.0, 0.7821, 1.109], q:[0.609, 0.5], qb:[0.5, 0.609], phi:[0.4455]] | t^2.346 + t^2.673 + t^3. + 4*t^3.327 + 3*t^4.337 + 4*t^4.663 + t^4.693 + 3*t^4.99 + t^5.019 + 2*t^5.346 + t^5.673 - 3*t^6. - t^4.337/y - t^4.337*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 |
---|---|---|---|---|---|---|---|---|---|
492 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7546 | 0.9174 | 0.8226 | [M:[0.7904, 1.2096, 0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.371 + 3*t^3.629 + 10*t^4.743 + 10*t^4.814 - 4*t^6. - t^4.186/y - t^4.186*y | detail |