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 |
---|---|---|---|---|---|---|---|---|---|
2056 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6559 | 0.8086 | 0.8111 | [X:[1.3333], M:[0.6667, 1.1111, 0.8889, 0.8889, 0.8889], q:[0.7778, 0.5556], qb:[0.5556, 0.3333], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 425/648, c: 131/162, X1: 4/3, M1: 2/3, M2: 10/9, M3: 8/9, M4: 8/9, M5: 8/9, q1: 7/9, q2: 5/9, qb1: 5/9, qb2: 1/3, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | -1 | 5*t^2.667 + t^3.333 + 4*t^4. + 3*t^4.667 + 13*t^5.333 - t^6. + 10*t^6.667 + 8*t^7.333 + 25*t^8. - 8*t^8.667 - t^4.333/y - (3*t^7.)/y + (3*t^7.667)/y + (10*t^8.333)/y - t^4.333*y - 3*t^7.*y + 3*t^7.667*y + 10*t^8.333*y | 5*t^2.667 + t^3.333 + 4*t^4. + 3*t^4.667 + 13*t^5.333 - t^6. + 10*t^6.667 + 8*t^7.333 + 25*t^8. - 8*t^8.667 - t^4.333/y - (3*t^7.)/y + (3*t^7.667)/y + (10*t^8.333)/y - t^4.333*y - 3*t^7.*y + 3*t^7.667*y + 10*t^8.333*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 |
---|---|---|---|---|---|---|---|---|
3126 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6659 | 0.8256 | 0.8065 | [X:[1.3333], M:[0.6667, 1.1111, 0.8889, 0.8889, 0.8889, 0.8889], q:[0.7778, 0.5556], qb:[0.5556, 0.3333], phi:[0.4444]] | 6*t^2.667 + 4*t^4. + 3*t^4.667 + 19*t^5.333 - 6*t^6. - t^4.333/y - t^4.333*y | detail | {a: 863/1296, c: 535/648, X1: 4/3, M1: 2/3, M2: 10/9, M3: 8/9, M4: 8/9, M5: 8/9, M6: 8/9, q1: 7/9, q2: 5/9, qb1: 5/9, qb2: 1/3, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
876 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6458 | 0.7917 | 0.8158 | [X:[1.3333], M:[0.6667, 1.1111, 0.8889, 0.8889], q:[0.7778, 0.5556], qb:[0.5556, 0.3333], phi:[0.4444]] | 4*t^2.667 + 2*t^3.333 + 4*t^4. + 3*t^4.667 + 8*t^5.333 + 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 31/48, c: 19/24, X1: 4/3, M1: 2/3, M2: 10/9, M3: 8/9, M4: 8/9, q1: 7/9, q2: 5/9, qb1: 5/9, qb2: 1/3, phi1: 4/9} |