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 |
---|---|---|---|---|---|---|---|---|---|
5477 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{1}M_{3}$ | 0.5852 | 0.7532 | 0.777 | [M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.6875, 1.0], q:[0.6563, 0.4063], qb:[0.2813, 0.9063], phi:[0.4375]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 76701/131072, c: 98717/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.063 + t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.75 + 3*t^4.125 + 2*t^4.5 + 3*t^4.688 + 3*t^4.875 + 3*t^5.063 + 4*t^5.25 + 3*t^5.438 + 2*t^5.625 + 4*t^5.813 + 5*t^6.188 + t^6.375 + 3*t^6.563 + 3*t^6.75 + 4*t^6.938 + 5*t^7.125 + 6*t^7.313 + 6*t^7.5 + 5*t^7.688 + 8*t^7.875 + t^8.063 + 8*t^8.25 + 2*t^8.438 + 3*t^8.625 + 2*t^8.813 - t^4.313/y - t^6.375/y - t^6.75/y - t^6.938/y + t^7.125/y + (2*t^7.5)/y + (3*t^7.688)/y + (3*t^7.875)/y + (3*t^8.063)/y + (4*t^8.25)/y + (3*t^8.438)/y + (2*t^8.625)/y + (4*t^8.813)/y - t^4.313*y - t^6.375*y - t^6.75*y - t^6.938*y + t^7.125*y + 2*t^7.5*y + 3*t^7.688*y + 3*t^7.875*y + 3*t^8.063*y + 4*t^8.25*y + 3*t^8.438*y + 2*t^8.625*y + 4*t^8.813*y | 2*t^2.063 + t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.75 + 3*t^4.125 + 2*t^4.5 + 3*t^4.688 + 3*t^4.875 + 3*t^5.063 + 4*t^5.25 + 3*t^5.438 + 2*t^5.625 + 4*t^5.813 + 5*t^6.188 + t^6.375 + 3*t^6.563 + 3*t^6.75 + 4*t^6.938 + 5*t^7.125 + 6*t^7.313 + 6*t^7.5 + 5*t^7.688 + 8*t^7.875 + t^8.063 + 8*t^8.25 + 2*t^8.438 + 3*t^8.625 + 2*t^8.813 - t^4.313/y - t^6.375/y - t^6.75/y - t^6.938/y + t^7.125/y + (2*t^7.5)/y + (3*t^7.688)/y + (3*t^7.875)/y + (3*t^8.063)/y + (4*t^8.25)/y + (3*t^8.438)/y + (2*t^8.625)/y + (4*t^8.813)/y - t^4.313*y - t^6.375*y - t^6.75*y - t^6.938*y + t^7.125*y + 2*t^7.5*y + 3*t^7.688*y + 3*t^7.875*y + 3*t^8.063*y + 4*t^8.25*y + 3*t^8.438*y + 2*t^8.625*y + 4*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 |
---|---|---|---|---|---|---|---|---|
6924 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{8}$ | 0.5794 | 0.7435 | 0.7793 | [M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.6875, 1.0, 1.0625], q:[0.6563, 0.4063], qb:[0.2813, 0.9063], phi:[0.4375]] | 2*t^2.063 + t^2.438 + t^2.625 + t^3. + 2*t^3.188 + t^3.375 + t^3.75 + 3*t^4.125 + 2*t^4.5 + 3*t^4.688 + t^4.875 + 3*t^5.063 + 5*t^5.25 + 2*t^5.438 + 2*t^5.625 + 4*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 37971/65536, c: 48723/65536, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 1, M8: 17/16, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
6925 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5964 | 0.7721 | 0.7723 | [M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.6875, 1.0, 0.875], q:[0.6563, 0.4063], qb:[0.2813, 0.9063], phi:[0.4375]] | 2*t^2.063 + t^2.438 + 2*t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.75 + 3*t^4.125 + 2*t^4.5 + 5*t^4.688 + 3*t^4.875 + 4*t^5.063 + 6*t^5.25 + 2*t^5.438 + 3*t^5.625 + 4*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 78165/131072, c: 101205/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 1, M8: 7/8, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, 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 |
---|---|---|---|---|---|---|---|---|---|
3883 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ | 0.6284 | 0.8016 | 0.7839 | [M:[0.6871, 0.9516, 0.8678, 0.771, 1.229, 0.771, 1.0], q:[0.8371, 0.4758], qb:[0.2952, 0.7533], phi:[0.4097]] | t^2.061 + 2*t^2.313 + t^2.458 + t^2.603 + t^2.855 + t^3. + t^3.542 + t^4.084 + t^4.123 + 2*t^4.374 + t^4.52 + 3*t^4.626 + t^4.665 + 3*t^4.771 + 4*t^4.916 + 2*t^5.061 + 2*t^5.168 + t^5.207 + 3*t^5.313 + t^5.458 + t^5.603 + t^5.71 + 2*t^5.855 - t^6. - t^4.229/y - t^4.229*y | detail |