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 |
---|---|---|---|---|---|---|---|---|---|
2181 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 0.6467 | 0.8067 | 0.8017 | [M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.8], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10104/15625, c: 12604/15625, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 4/5, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$ | ${}M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 1 | 2*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 2*t^5.76 + t^6. + 3*t^6.24 + 5*t^6.48 + 4*t^6.72 + 4*t^6.96 + 5*t^7.2 + 4*t^7.44 + 6*t^7.68 + 5*t^7.92 + 5*t^8.16 + 2*t^8.4 + 3*t^8.64 + 4*t^8.88 - t^4.44/y - t^6.84/y + t^7.8/y + (3*t^8.04)/y + (2*t^8.28)/y + (3*t^8.52)/y + (3*t^8.76)/y - t^4.44*y - t^6.84*y + t^7.8*y + 3*t^8.04*y + 2*t^8.28*y + 3*t^8.52*y + 3*t^8.76*y | 2*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 2*t^5.76 + t^6. + 3*t^6.24 + 5*t^6.48 + 4*t^6.72 + 4*t^6.96 + 5*t^7.2 + 4*t^7.44 + 6*t^7.68 + 5*t^7.92 + 5*t^8.16 + 2*t^8.4 + 3*t^8.64 + 4*t^8.88 - t^4.44/y - t^6.84/y + t^7.8/y + (3*t^8.04)/y + (2*t^8.28)/y + (3*t^8.52)/y + (3*t^8.76)/y - t^4.44*y - t^6.84*y + t^7.8*y + 3*t^8.04*y + 2*t^8.28*y + 3*t^8.52*y + 3*t^8.76*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 |
---|---|---|---|---|---|---|---|---|
4169 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6632 | 0.8357 | 0.7936 | [M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.8, 0.8], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | 3*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 6*t^4.8 + 3*t^5.04 + 4*t^5.28 + 3*t^5.52 + 3*t^5.76 - t^6. - t^4.44/y - t^4.44*y | detail | {a: 165789/250000, c: 104457/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 4/5, M7: 4/5, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
4170 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6429 | 0.8004 | 0.8032 | [M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.8, 1.04], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | 2*t^2.4 + t^2.64 + 2*t^3.12 + t^3.36 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 2*t^5.04 + t^5.28 + 3*t^5.52 + 2*t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 160731/250000, c: 100053/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 4/5, M7: 26/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
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 |
---|---|---|---|---|---|---|---|---|---|
1147 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6302 | 0.7777 | 0.8103 | [M:[1.12, 1.04, 1.2, 0.8, 0.88], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + t^5.04 + 2*t^5.28 + t^5.52 + t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 157539/250000, c: 97207/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |