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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3576 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.6218 | 0.7859 | 0.7912 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.75, 0.8125], q:[0.2813, 0.7188], qb:[0.4688, 0.7813], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2547/4096, c: 3219/4096, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 3/4, M6: 13/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}^{4}$ | 0 | 2*t^2.25 + t^2.438 + t^2.625 + 2*t^3. + t^3.188 + t^3.563 + t^4.125 + t^4.313 + 4*t^4.5 + t^4.688 + 4*t^4.875 + t^5.063 + 4*t^5.25 + 3*t^5.438 + 4*t^5.625 + 2*t^5.813 + 2*t^6.188 + t^6.375 + 2*t^6.563 + 5*t^6.75 + t^6.938 + 7*t^7.125 + 2*t^7.313 + 8*t^7.5 + 5*t^7.688 + 7*t^7.875 + 5*t^8.063 + t^8.25 + 3*t^8.438 + 2*t^8.625 + 3*t^8.813 - t^4.313/y - t^6.563/y - t^6.75/y - t^6.938/y + t^7.5/y + (3*t^7.688)/y + (3*t^7.875)/y + (2*t^8.063)/y + (4*t^8.25)/y + (4*t^8.438)/y + (3*t^8.625)/y + (2*t^8.813)/y - t^4.313*y - t^6.563*y - t^6.75*y - t^6.938*y + t^7.5*y + 3*t^7.688*y + 3*t^7.875*y + 2*t^8.063*y + 4*t^8.25*y + 4*t^8.438*y + 3*t^8.625*y + 2*t^8.813*y | 2*t^2.25 + t^2.438 + t^2.625 + 2*t^3. + t^3.188 + t^3.563 + t^4.125 + t^4.313 + 4*t^4.5 + t^4.688 + 4*t^4.875 + t^5.063 + 4*t^5.25 + 3*t^5.438 + 4*t^5.625 + 2*t^5.813 + 2*t^6.188 + t^6.375 + 2*t^6.563 + 5*t^6.75 + t^6.938 + 7*t^7.125 + 2*t^7.313 + 8*t^7.5 + 5*t^7.688 + 7*t^7.875 + 5*t^8.063 + t^8.25 + 3*t^8.438 + 2*t^8.625 + 3*t^8.813 - t^4.313/y - t^6.563/y - t^6.75/y - t^6.938/y + t^7.5/y + (3*t^7.688)/y + (3*t^7.875)/y + (2*t^8.063)/y + (4*t^8.25)/y + (4*t^8.438)/y + (3*t^8.625)/y + (2*t^8.813)/y - t^4.313*y - t^6.563*y - t^6.75*y - t^6.938*y + t^7.5*y + 3*t^7.688*y + 3*t^7.875*y + 2*t^8.063*y + 4*t^8.25*y + 4*t^8.438*y + 3*t^8.625*y + 2*t^8.813*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 |
---|---|---|---|---|---|---|---|---|
5258 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6276 | 0.7956 | 0.7889 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.75, 0.8125, 0.9375], q:[0.2813, 0.7188], qb:[0.4688, 0.7813], phi:[0.4375]] | 2*t^2.25 + t^2.438 + t^2.625 + t^2.813 + 2*t^3. + t^3.563 + t^4.125 + t^4.313 + 4*t^4.5 + t^4.688 + 4*t^4.875 + 3*t^5.063 + 5*t^5.25 + 2*t^5.438 + 4*t^5.625 + 3*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 82263/131072, c: 104279/131072, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 3/4, M6: 13/16, M7: 15/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
5259 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6376 | 0.8133 | 0.7839 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.75, 0.8125, 0.8125], q:[0.2813, 0.7188], qb:[0.4688, 0.7813], phi:[0.4375]] | 2*t^2.25 + 2*t^2.438 + t^2.625 + 2*t^3. + t^3.188 + t^4.125 + t^4.313 + 4*t^4.5 + 3*t^4.688 + 6*t^4.875 + 2*t^5.063 + 4*t^5.25 + 5*t^5.438 + 5*t^5.625 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 83565/131072, c: 106605/131072, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 3/4, M6: 13/16, M7: 13/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
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 |
---|---|---|---|---|---|---|---|---|---|
2973 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7023 | 0.8948 | 0.7849 | [M:[1.0, 0.8396, 1.1604, 0.6792, 0.8396, 0.7005], q:[0.4492, 0.5508], qb:[0.3904, 0.7701], phi:[0.4599]] | t^2.037 + t^2.102 + 2*t^2.519 + t^2.759 + t^2.823 + t^3. + t^3.658 + t^3.722 + 2*t^4.075 + t^4.139 + 2*t^4.203 + t^4.38 + 2*t^4.556 + 2*t^4.62 + t^4.684 + t^4.797 + 2*t^4.861 + t^4.925 + 4*t^5.037 + t^5.102 + 2*t^5.278 + 2*t^5.342 + 2*t^5.519 + t^5.583 + t^5.647 + 3*t^5.759 + t^5.823 - 2*t^6. - t^4.38/y - t^4.38*y | detail |