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 |
---|---|---|---|---|---|---|---|---|---|
4733 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ | 0.6102 | 0.7639 | 0.7989 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 0.9167, 1.0], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 29995/49152, c: 37547/49152, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 11/12, M7: 1, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.25 + t^2.625 + 2*t^2.75 + t^2.875 + t^3. + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + 2*t^5. + t^5.125 + 3*t^5.25 + t^5.375 + 3*t^5.5 + 3*t^5.625 + 3*t^5.75 + t^5.875 - t^6. - t^6.25 + 2*t^6.375 + 2*t^6.5 + t^6.625 + t^6.75 + t^6.875 + 4*t^7. + 2*t^7.125 + 3*t^7.25 - t^7.375 + 2*t^7.5 + 2*t^7.75 + 4*t^7.875 + 6*t^8. + 4*t^8.125 + 4*t^8.25 + 4*t^8.375 + 4*t^8.5 + 2*t^8.625 - 2*t^8.75 - 3*t^8.875 - t^4.375/y - t^7./y - t^7.125/y - t^7.25/y + t^7.5/y + t^7.625/y + t^7.75/y + t^7.875/y + (2*t^8.)/y + t^8.125/y + t^8.25/y + (2*t^8.375)/y + (2*t^8.5)/y + (3*t^8.625)/y + (2*t^8.75)/y + (2*t^8.875)/y - t^4.375*y - t^7.*y - t^7.125*y - t^7.25*y + t^7.5*y + t^7.625*y + t^7.75*y + t^7.875*y + 2*t^8.*y + t^8.125*y + t^8.25*y + 2*t^8.375*y + 2*t^8.5*y + 3*t^8.625*y + 2*t^8.75*y + 2*t^8.875*y | t^2.25 + t^2.625 + 2*t^2.75 + t^2.875 + t^3. + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + 2*t^5. + t^5.125 + 3*t^5.25 + t^5.375 + 3*t^5.5 + 3*t^5.625 + 3*t^5.75 + t^5.875 - t^6. - t^6.25 + 2*t^6.375 + 2*t^6.5 + t^6.625 + t^6.75 + t^6.875 + 4*t^7. + 2*t^7.125 + 3*t^7.25 - t^7.375 + 2*t^7.5 + 2*t^7.75 + 4*t^7.875 + 6*t^8. + 4*t^8.125 + 4*t^8.25 + 4*t^8.375 + 4*t^8.5 + 2*t^8.625 - 2*t^8.75 - 3*t^8.875 - t^4.375/y - t^7./y - t^7.125/y - t^7.25/y + t^7.5/y + t^7.625/y + t^7.75/y + t^7.875/y + (2*t^8.)/y + t^8.125/y + t^8.25/y + (2*t^8.375)/y + (2*t^8.5)/y + (3*t^8.625)/y + (2*t^8.75)/y + (2*t^8.875)/y - t^4.375*y - t^7.*y - t^7.125*y - t^7.25*y + t^7.5*y + t^7.625*y + t^7.75*y + t^7.875*y + 2*t^8.*y + t^8.125*y + t^8.25*y + 2*t^8.375*y + 2*t^8.5*y + 3*t^8.625*y + 2*t^8.75*y + 2*t^8.875*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 |
---|---|---|---|---|---|---|---|---|
6358 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{2}M_{8}$ | 0.6064 | 0.7574 | 0.8006 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 0.9167, 1.0, 1.0417], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | t^2.25 + t^2.625 + 2*t^2.75 + t^3. + t^3.125 + t^3.625 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.75 + 2*t^5. + 3*t^5.25 + 2*t^5.375 + 2*t^5.5 + t^5.625 + 3*t^5.75 + 2*t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 7451/12288, c: 9307/12288, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 11/12, M7: 1, M8: 25/24, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
6359 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{5}M_{8}$ | 0.6293 | 0.7986 | 0.788 | [M:[0.875, 0.9583, 1.0833, 0.75, 1.25, 0.9167, 1.0, 0.75], q:[0.6458, 0.4792], qb:[0.2708, 0.7708], phi:[0.4583]] | 2*t^2.25 + t^2.625 + 2*t^2.75 + t^2.875 + t^3. + t^3.625 + t^4.125 + 2*t^4.25 + 3*t^4.5 + t^4.75 + t^4.875 + 4*t^5. + 2*t^5.125 + 4*t^5.25 + t^5.375 + 3*t^5.5 + 3*t^5.625 + 3*t^5.75 + 2*t^5.875 - 2*t^6. - t^4.375/y - t^4.375*y | detail | {a: 30931/49152, c: 39251/49152, M1: 7/8, M2: 23/24, M3: 13/12, M4: 3/4, M5: 5/4, M6: 11/12, M7: 1, M8: 3/4, q1: 31/48, q2: 23/48, qb1: 13/48, qb2: 37/48, phi1: 11/24} |
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 |
---|---|---|---|---|---|---|---|---|---|
2619 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6748 | 0.8495 | 0.7943 | [M:[1.0773, 0.8099, 1.0564, 0.8309, 1.1691, 0.9436, 0.6762], q:[0.5177, 0.405], qb:[0.426, 0.7641], phi:[0.4718]] | t^2.029 + t^2.43 + t^2.493 + 2*t^2.831 + t^3.232 + t^3.507 + 2*t^3.845 + t^3.908 + t^4.057 + t^4.183 + t^4.246 + t^4.459 + 2*t^4.522 + 3*t^4.86 + t^4.923 + t^4.986 + 3*t^5.261 + 2*t^5.324 + t^5.536 + 3*t^5.662 + 2*t^5.874 + t^5.937 - 2*t^6. - t^4.415/y - t^4.415*y | detail |