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 |
---|---|---|---|---|---|---|---|---|---|
4907 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6404 | 0.8128 | 0.7879 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091, 0.8485], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 40915/63888, c: 25963/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, M7: 28/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 1 | t^2.182 + t^2.364 + t^2.545 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + 2*t^4.727 + 3*t^4.909 + 3*t^5.091 + 2*t^5.273 + 3*t^5.455 + 4*t^5.636 + 3*t^5.818 + t^6. + 2*t^6.182 + 3*t^6.364 + 3*t^6.545 + 3*t^6.727 + 3*t^6.909 + 5*t^7.091 + 5*t^7.273 + 4*t^7.455 + 6*t^7.636 + 6*t^7.818 + 5*t^8. + 6*t^8.182 + 4*t^8.364 + 3*t^8.545 + 4*t^8.727 + 3*t^8.909 - t^4.455/y - t^6.818/y - t^7./y + t^7.545/y + t^7.727/y + (3*t^7.909)/y + (3*t^8.091)/y + (3*t^8.273)/y + (3*t^8.455)/y + (4*t^8.636)/y + (3*t^8.818)/y - t^4.455*y - t^6.818*y - t^7.*y + t^7.545*y + t^7.727*y + 3*t^7.909*y + 3*t^8.091*y + 3*t^8.273*y + 3*t^8.455*y + 4*t^8.636*y + 3*t^8.818*y | t^2.182 + t^2.364 + t^2.545 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + 2*t^4.727 + 3*t^4.909 + 3*t^5.091 + 2*t^5.273 + 3*t^5.455 + 4*t^5.636 + 3*t^5.818 + t^6. + 2*t^6.182 + 3*t^6.364 + 3*t^6.545 + 3*t^6.727 + 3*t^6.909 + 5*t^7.091 + 5*t^7.273 + 4*t^7.455 + 6*t^7.636 + 6*t^7.818 + 5*t^8. + 6*t^8.182 + 4*t^8.364 + 3*t^8.545 + 4*t^8.727 + 3*t^8.909 - t^4.455/y - t^6.818/y - t^7./y + t^7.545/y + t^7.727/y + (3*t^7.909)/y + (3*t^8.091)/y + (3*t^8.273)/y + (3*t^8.455)/y + (4*t^8.636)/y + (3*t^8.818)/y - t^4.455*y - t^6.818*y - t^7.*y + t^7.545*y + t^7.727*y + 3*t^7.909*y + 3*t^8.091*y + 3*t^8.273*y + 3*t^8.455*y + 4*t^8.636*y + 3*t^8.818*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 |
---|---|---|---|---|---|---|---|---|
6596 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6536 | 0.8355 | 0.7824 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091, 0.8485, 0.8485], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.182 + t^2.364 + 2*t^2.545 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + 3*t^4.727 + 4*t^4.909 + 5*t^5.091 + 3*t^5.273 + 4*t^5.455 + 4*t^5.636 + 3*t^5.818 - t^4.455/y - t^4.455*y | detail | {a: 870/1331, c: 1112/1331, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, M7: 28/33, M8: 28/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
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 |
---|---|---|---|---|---|---|---|---|---|
3031 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6272 | 0.7901 | 0.7938 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.182 + t^2.364 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + 2*t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + t^4.727 + 2*t^4.909 + 2*t^5.091 + t^5.273 + 2*t^5.455 + 4*t^5.636 + 3*t^5.818 - t^4.455/y - t^4.455*y | detail | {a: 20035/31944, c: 12619/15972, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |