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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8906 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }q_{1}q_{2}X_{2}$ + ${ }M_{3}\phi_{1}^{3}q_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{2}^{2}X_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ | 0.9653 | 1.0903 | 0.8854 | [X:[1.5556, 1.3333, 1.4444], M:[0.7778, 1.1111, 1.0, 0.8889], q:[0.5, 0.1667], qb:[], phi:[0.2222]] | [X:[[0], [0], [0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 139/144, c: 157/144, X1: 14/9, X2: 4/3, X3: 13/9, M1: 7/9, M2: 10/9, M3: 1, M4: 8/9, q1: 1/2, q2: 1/6, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }X_{2}$, ${ }X_{3}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{4}$, ${ }\phi_{1}^{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{4}$ | ${}M_{2}M_{4}$ | 1 | t^2.33 + 2*t^2.67 + t^3. + t^3.33 + 2*t^4. + t^4.33 + 2*t^4.67 + 2*t^5. + 4*t^5.33 + 2*t^5.67 + t^6. + t^6.33 + 4*t^6.67 + 4*t^7. + 5*t^7.33 + 4*t^7.67 + 7*t^8. + 2*t^8.33 + 4*t^8.67 + t^8.67/y^2 - t^3.67/y - t^5./y - t^6./y - (2*t^6.33)/y - t^7.33/y - (3*t^7.67)/y + t^8./y + t^8.33/y + (2*t^8.67)/y - t^3.67*y - t^5.*y - t^6.*y - 2*t^6.33*y - t^7.33*y - 3*t^7.67*y + t^8.*y + t^8.33*y + 2*t^8.67*y + t^8.67*y^2 | t^2.33 + 2*t^2.67 + t^3. + t^3.33 + 2*t^4. + t^4.33 + 2*t^4.67 + 2*t^5. + 4*t^5.33 + 2*t^5.67 + t^6. + t^6.33 + 4*t^6.67 + 4*t^7. + 5*t^7.33 + 4*t^7.67 + 7*t^8. + 2*t^8.33 + 4*t^8.67 + t^8.67/y^2 - t^3.67/y - t^5./y - t^6./y - (2*t^6.33)/y - t^7.33/y - (3*t^7.67)/y + t^8./y + t^8.33/y + (2*t^8.67)/y - t^3.67*y - t^5.*y - t^6.*y - 2*t^6.33*y - t^7.33*y - 3*t^7.67*y + t^8.*y + t^8.33*y + 2*t^8.67*y + t^8.67*y^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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
8830 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }q_{1}q_{2}X_{2}$ + ${ }M_{3}\phi_{1}^{3}q_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{2}^{2}X_{3}$ | 0.9552 | 1.0733 | 0.89 | [X:[1.5556, 1.3333, 1.4444], M:[0.7778, 1.1111, 1.0], q:[0.5, 0.1667], qb:[], phi:[0.2222]] | t^2.33 + t^2.67 + t^3. + 2*t^3.33 + 2*t^4. + t^4.33 + 2*t^4.67 + t^5. + 2*t^5.33 + 2*t^5.67 + t^6. - t^3.67/y - t^5./y - t^6./y - t^3.67*y - t^5.*y - t^6.*y | detail | {a: 619/648, c: 1391/1296, X1: 14/9, X2: 4/3, X3: 13/9, M1: 7/9, M2: 10/9, M3: 1, q1: 1/2, q2: 1/6, phi1: 2/9} |