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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6004 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7333 | 0.9139 | 0.8024 | [M:[0.7639, 1.0139, 0.9861, 0.7917, 1.0, 0.7778, 0.9861, 1.2361, 0.7778], q:[0.625, 0.6111], qb:[0.3889, 0.5972], phi:[0.4444]] | [M:[[1], [-1], [1], [-1], [0], [0], [1], [-1], [0]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 7603/10368, c: 9475/10368, M1: 55/72, M2: 73/72, M3: 71/72, M4: 19/24, M5: 1, M6: 7/9, M7: 71/72, M8: 89/72, M9: 7/9, q1: 5/8, q2: 11/18, qb1: 7/18, qb2: 43/72, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{9}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{9}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -3 | 2*t^2.333 + t^2.375 + t^2.667 + 2*t^2.958 + t^3. + t^3.708 + t^4.292 + t^4.333 + t^4.375 + 3*t^4.667 + 2*t^4.708 + t^4.75 + t^4.917 + t^4.958 + 4*t^5. + 2*t^5.042 + t^5.083 + 3*t^5.292 + 4*t^5.333 + 2*t^5.625 + t^5.667 + 2*t^5.917 - 3*t^6. + t^6.375 + 2*t^6.667 + 2*t^6.708 + t^6.75 + t^6.958 + 4*t^7. + 4*t^7.042 + 2*t^7.083 + t^7.125 + 3*t^7.25 + 3*t^7.292 + 7*t^7.333 + 4*t^7.375 + 4*t^7.417 + t^7.458 + t^7.583 + 4*t^7.625 + 7*t^7.667 + 2*t^7.708 + t^7.75 + 2*t^7.875 + 2*t^7.917 + 5*t^7.958 + 5*t^8. + t^8.042 + t^8.083 + 2*t^8.25 + t^8.292 - 8*t^8.333 - 5*t^8.375 - 2*t^8.417 + 2*t^8.583 - 3*t^8.667 + t^8.708 + t^8.75 + t^8.792 + 2*t^8.875 - t^8.917 - 7*t^8.958 - t^4.333/y - (2*t^6.667)/y - t^6.708/y - t^7./y - t^7.292/y + t^7.375/y + (2*t^7.667)/y + (2*t^7.708)/y + t^7.958/y + (4*t^8.)/y + t^8.042/y + (4*t^8.292)/y + (4*t^8.333)/y + t^8.375/y + (2*t^8.625)/y + t^8.667/y + t^8.917/y + (2*t^8.958)/y - t^4.333*y - 2*t^6.667*y - t^6.708*y - t^7.*y - t^7.292*y + t^7.375*y + 2*t^7.667*y + 2*t^7.708*y + t^7.958*y + 4*t^8.*y + t^8.042*y + 4*t^8.292*y + 4*t^8.333*y + t^8.375*y + 2*t^8.625*y + t^8.667*y + t^8.917*y + 2*t^8.958*y | 2*t^2.333 + t^2.375/g1 + t^2.667 + 2*g1*t^2.958 + t^3. + t^3.708/g1 + g1*t^4.292 + t^4.333 + t^4.375/g1 + 3*t^4.667 + (2*t^4.708)/g1 + t^4.75/g1^2 + g1^2*t^4.917 + g1*t^4.958 + 4*t^5. + (2*t^5.042)/g1 + t^5.083/g1^2 + 3*g1*t^5.292 + 4*t^5.333 + 2*g1*t^5.625 + t^5.667 + 2*g1^2*t^5.917 - 3*t^6. + t^6.375/g1 + 2*t^6.667 + (2*t^6.708)/g1 + t^6.75/g1^2 + g1*t^6.958 + 4*t^7. + (4*t^7.042)/g1 + (2*t^7.083)/g1^2 + t^7.125/g1^3 + 3*g1^2*t^7.25 + 3*g1*t^7.292 + 7*t^7.333 + (4*t^7.375)/g1 + (4*t^7.417)/g1^2 + t^7.458/g1^3 + g1^2*t^7.583 + 4*g1*t^7.625 + 7*t^7.667 + (2*t^7.708)/g1 + t^7.75/g1^2 + 2*g1^3*t^7.875 + 2*g1^2*t^7.917 + 5*g1*t^7.958 + 5*t^8. + t^8.042/g1 + t^8.083/g1^2 + 2*g1^2*t^8.25 + g1*t^8.292 - 8*t^8.333 - (5*t^8.375)/g1 - (2*t^8.417)/g1^2 + 2*g1^2*t^8.583 - 3*t^8.667 + t^8.708/g1 + t^8.75/g1^2 + t^8.792/g1^3 + 2*g1^3*t^8.875 - g1^2*t^8.917 - 7*g1*t^8.958 - t^4.333/y - (2*t^6.667)/y - t^6.708/(g1*y) - t^7./y - (g1*t^7.292)/y + t^7.375/(g1*y) + (2*t^7.667)/y + (2*t^7.708)/(g1*y) + (g1*t^7.958)/y + (4*t^8.)/y + t^8.042/(g1*y) + (4*g1*t^8.292)/y + (4*t^8.333)/y + t^8.375/(g1*y) + (2*g1*t^8.625)/y + t^8.667/y + (g1^2*t^8.917)/y + (2*g1*t^8.958)/y - t^4.333*y - 2*t^6.667*y - (t^6.708*y)/g1 - t^7.*y - g1*t^7.292*y + (t^7.375*y)/g1 + 2*t^7.667*y + (2*t^7.708*y)/g1 + g1*t^7.958*y + 4*t^8.*y + (t^8.042*y)/g1 + 4*g1*t^8.292*y + 4*t^8.333*y + (t^8.375*y)/g1 + 2*g1*t^8.625*y + t^8.667*y + g1^2*t^8.917*y + 2*g1*t^8.958*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4504 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7156 | 0.8822 | 0.8111 | [M:[0.7639, 1.0139, 0.9861, 0.7917, 1.0, 0.7778, 0.9861, 1.2361], q:[0.625, 0.6111], qb:[0.3889, 0.5972], phi:[0.4444]] | t^2.333 + t^2.375 + t^2.667 + 2*t^2.958 + t^3. + t^3.667 + t^3.708 + t^4.292 + t^4.333 + t^4.375 + t^4.667 + t^4.708 + t^4.75 + t^4.917 + t^4.958 + 3*t^5. + 2*t^5.042 + t^5.083 + t^5.292 + 3*t^5.333 + 2*t^5.625 + t^5.667 + 2*t^5.917 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 2473/3456, c: 3049/3456, M1: 55/72, M2: 73/72, M3: 71/72, M4: 19/24, M5: 1, M6: 7/9, M7: 71/72, M8: 89/72, q1: 5/8, q2: 11/18, qb1: 7/18, qb2: 43/72, phi1: 4/9} |