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 |
---|---|---|---|---|---|---|---|---|---|
3444 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.6906 | 0.8877 | 0.778 | [M:[0.7693, 0.8461, 0.6924, 1.1539, 0.7693, 0.6924, 0.8461], q:[0.7693, 0.4615], qb:[0.3846, 0.8461], phi:[0.3846]] | [M:[[-2], [3], [-7], [-3], [-2], [-7], [3]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0 | 2*t^2.077 + 3*t^2.308 + 2*t^2.538 + t^3.462 + t^3.692 + 3*t^4.154 + 6*t^4.385 + 10*t^4.616 + 7*t^4.846 + 3*t^5.077 + 2*t^5.539 + 3*t^5.769 + 4*t^6.231 + 9*t^6.462 + 18*t^6.693 + 23*t^6.923 + 16*t^7.154 + 5*t^7.384 + 2*t^7.615 + 3*t^7.616 + 5*t^7.847 - 7*t^8.308 + 5*t^8.309 - 10*t^8.538 + 12*t^8.539 - 3*t^8.769 + 26*t^8.77 - t^4.154/y - (2*t^6.231)/y - (3*t^6.462)/y - t^6.692/y + t^7.154/y + (6*t^7.385)/y + (8*t^7.616)/y + (9*t^7.846)/y + (3*t^8.077)/y - (3*t^8.308)/y - (4*t^8.539)/y - (3*t^8.769)/y - t^4.154*y - 2*t^6.231*y - 3*t^6.462*y - t^6.692*y + t^7.154*y + 6*t^7.385*y + 8*t^7.616*y + 9*t^7.846*y + 3*t^8.077*y - 3*t^8.308*y - 4*t^8.539*y - 3*t^8.769*y | (2*t^2.077)/g1^7 + (3*t^2.308)/g1^2 + 2*g1^3*t^2.538 + t^3.462/g1^3 + g1^2*t^3.692 + (3*t^4.154)/g1^14 + (6*t^4.385)/g1^9 + (10*t^4.616)/g1^4 + 7*g1*t^4.846 + 3*g1^6*t^5.077 + (2*t^5.539)/g1^10 + (3*t^5.769)/g1^5 + (4*t^6.231)/g1^21 + (9*t^6.462)/g1^16 + (18*t^6.693)/g1^11 + (23*t^6.923)/g1^6 + (16*t^7.154)/g1 + 5*g1^4*t^7.384 + 2*g1^9*t^7.615 + (3*t^7.616)/g1^17 + (5*t^7.847)/g1^12 - (7*t^8.308)/g1^2 + (5*t^8.309)/g1^28 - 10*g1^3*t^8.538 + (12*t^8.539)/g1^23 - 3*g1^8*t^8.769 + (26*t^8.77)/g1^18 - t^4.154/(g1*y) - (2*t^6.231)/(g1^8*y) - (3*t^6.462)/(g1^3*y) - (g1^2*t^6.692)/y + t^7.154/(g1^14*y) + (6*t^7.385)/(g1^9*y) + (8*t^7.616)/(g1^4*y) + (9*g1*t^7.846)/y + (3*g1^6*t^8.077)/y - (3*t^8.308)/(g1^15*y) - (4*t^8.539)/(g1^10*y) - (3*t^8.769)/(g1^5*y) - (t^4.154*y)/g1 - (2*t^6.231*y)/g1^8 - (3*t^6.462*y)/g1^3 - g1^2*t^6.692*y + (t^7.154*y)/g1^14 + (6*t^7.385*y)/g1^9 + (8*t^7.616*y)/g1^4 + 9*g1*t^7.846*y + 3*g1^6*t^8.077*y - (3*t^8.308*y)/g1^15 - (4*t^8.539*y)/g1^10 - (3*t^8.769*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
5136 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7042 | 0.91 | 0.7739 | [M:[0.7737, 0.8395, 0.7079, 1.1605, 0.7737, 0.7079, 0.8395, 0.8395], q:[0.7737, 0.4526], qb:[0.3868, 0.8395], phi:[0.3868]] | 2*t^2.124 + 3*t^2.321 + 3*t^2.518 + t^3.679 + 3*t^4.247 + 6*t^4.445 + 12*t^4.642 + 10*t^4.839 + 6*t^5.037 - 2*t^6. - t^4.161/y - t^4.161*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
2879 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6775 | 0.8668 | 0.7816 | [M:[0.7647, 0.853, 0.6764, 1.147, 0.7647, 0.6764], q:[0.7647, 0.4706], qb:[0.3823, 0.853], phi:[0.3823]] | 2*t^2.029 + 3*t^2.294 + t^2.559 + 2*t^3.441 + t^3.706 + 3*t^4.059 + 6*t^4.323 + 8*t^4.588 + 4*t^4.853 + t^5.118 + 4*t^5.47 + 6*t^5.735 - t^4.147/y - t^4.147*y | detail |