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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4269 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6977 | 0.8852 | 0.7882 | [M:[1.0, 1.1818, 1.0, 0.8182, 0.8182, 0.7273, 0.7273], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 14859/21296, c: 4713/5324, M1: 1, M2: 13/11, M3: 1, M4: 9/11, M5: 9/11, M6: 8/11, M7: 8/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}M_{1}M_{3}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 2 | 2*t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.545 + t^3.818 + t^4.091 + 5*t^4.364 + 4*t^4.636 + 6*t^4.909 + 6*t^5.182 + 3*t^5.455 + 4*t^5.727 + 2*t^6. + 3*t^6.273 + 9*t^6.545 + 8*t^6.818 + 11*t^7.091 + 14*t^7.364 + 9*t^7.636 + 10*t^7.909 + 4*t^8.182 + 4*t^8.455 + 12*t^8.727 - t^4.364/y - (2*t^6.545)/y - t^6.818/y - t^7.091/y + t^7.364/y + (5*t^7.636)/y + (4*t^7.909)/y + (8*t^8.182)/y + (4*t^8.455)/y + t^8.727/y - t^4.364*y - 2*t^6.545*y - t^6.818*y - t^7.091*y + t^7.364*y + 5*t^7.636*y + 4*t^7.909*y + 8*t^8.182*y + 4*t^8.455*y + t^8.727*y | 2*t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.545 + t^3.818 + t^4.091 + 5*t^4.364 + 4*t^4.636 + 6*t^4.909 + 6*t^5.182 + 3*t^5.455 + 4*t^5.727 + 2*t^6. + 3*t^6.273 + 9*t^6.545 + 8*t^6.818 + 11*t^7.091 + 14*t^7.364 + 9*t^7.636 + 10*t^7.909 + 4*t^8.182 + 4*t^8.455 + 12*t^8.727 - t^4.364/y - (2*t^6.545)/y - t^6.818/y - t^7.091/y + t^7.364/y + (5*t^7.636)/y + (4*t^7.909)/y + (8*t^8.182)/y + (4*t^8.455)/y + t^8.727/y - t^4.364*y - 2*t^6.545*y - t^6.818*y - t^7.091*y + t^7.364*y + 5*t^7.636*y + 4*t^7.909*y + 8*t^8.182*y + 4*t^8.455*y + t^8.727*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 |
---|---|---|---|---|---|---|---|---|
5741 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.7176 | 0.9221 | 0.7782 | [M:[1.0, 1.1818, 1.0, 0.8182, 0.8182, 0.7273, 0.7273, 0.7273], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | 3*t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.545 + t^4.091 + 8*t^4.364 + 6*t^4.636 + 7*t^4.909 + 8*t^5.182 + 3*t^5.455 + 5*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 7641/10648, c: 9819/10648, M1: 1, M2: 13/11, M3: 1, M4: 9/11, M5: 9/11, M6: 8/11, M7: 8/11, M8: 8/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
5740 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7131 | 0.912 | 0.7819 | [M:[1.0, 1.1818, 1.0, 0.8182, 0.8182, 0.7273, 0.7273, 0.8182], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | 2*t^2.182 + 3*t^2.455 + t^2.727 + 2*t^3. + t^3.818 + t^4.091 + 5*t^4.364 + 6*t^4.636 + 9*t^4.909 + 7*t^5.182 + 5*t^5.455 + 2*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 7593/10648, c: 19421/21296, M1: 1, M2: 13/11, M3: 1, M4: 9/11, M5: 9/11, M6: 8/11, M7: 8/11, M8: 9/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
2267 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6779 | 0.8483 | 0.7991 | [M:[1.0, 1.1818, 1.0, 0.8182, 0.8182, 0.7273], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.545 + 2*t^3.818 + t^4.091 + 3*t^4.364 + 2*t^4.636 + 5*t^4.909 + 4*t^5.182 + 3*t^5.455 + 3*t^5.727 + 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 3609/5324, c: 9033/10648, M1: 1, M2: 13/11, M3: 1, M4: 9/11, M5: 9/11, M6: 8/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |