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 |
---|---|---|---|---|---|---|---|---|---|
47096 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7114 | 0.8731 | 0.8147 | [M:[0.8238, 0.9413, 1.0587, 0.9413, 1.0], q:[0.5587, 0.6175], qb:[0.5, 0.4413], phi:[0.4706]] | [M:[[6], [2], [-2], [2], [0]], q:[[-2], [-4]], qb:[[0], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{2}M_{3}$ | 0 | t^2.471 + 3*t^2.824 + t^3. + t^3.176 + t^3.352 + t^4.059 + t^4.236 + 2*t^4.412 + 2*t^4.588 + 2*t^4.764 + t^4.941 + t^4.943 + t^5.117 + 3*t^5.295 + 5*t^5.648 + t^5.824 + t^6.176 - t^6.352 + t^6.531 + t^6.705 + t^6.707 + 4*t^6.883 + 4*t^7.059 + 5*t^7.236 + 5*t^7.412 + t^7.414 + 4*t^7.588 + 2*t^7.764 + 3*t^7.766 + 2*t^7.941 + t^8.117 + 6*t^8.119 + t^8.469 + 6*t^8.471 + t^8.648 - 3*t^8.824 - t^4.412/y - t^6.883/y - (2*t^7.236)/y + (2*t^7.588)/y + t^7.941/y + (3*t^8.295)/y + t^8.471/y + (4*t^8.648)/y + (4*t^8.824)/y - t^4.412*y - t^6.883*y - 2*t^7.236*y + 2*t^7.588*y + t^7.941*y + 3*t^8.295*y + t^8.471*y + 4*t^8.648*y + 4*t^8.824*y | g1^6*t^2.471 + 3*g1^2*t^2.824 + t^3. + t^3.176/g1^2 + t^3.352/g1^4 + g1^5*t^4.059 + g1^3*t^4.236 + 2*g1*t^4.412 + (2*t^4.588)/g1 + (2*t^4.764)/g1^3 + t^4.941/g1^5 + g1^12*t^4.943 + t^5.117/g1^7 + 3*g1^8*t^5.295 + 5*g1^4*t^5.648 + g1^2*t^5.824 + t^6.176/g1^2 - t^6.352/g1^4 + g1^11*t^6.531 + t^6.705/g1^8 + g1^9*t^6.707 + 4*g1^7*t^6.883 + 4*g1^5*t^7.059 + 5*g1^3*t^7.236 + 5*g1*t^7.412 + g1^18*t^7.414 + (4*t^7.588)/g1 + (2*t^7.764)/g1^3 + 3*g1^14*t^7.766 + (2*t^7.941)/g1^5 + t^8.117/g1^7 + 6*g1^10*t^8.119 + t^8.469/g1^11 + 6*g1^6*t^8.471 + g1^4*t^8.648 - 3*g1^2*t^8.824 - (g1*t^4.412)/y - (g1^7*t^6.883)/y - (2*g1^3*t^7.236)/y + (2*t^7.588)/(g1*y) + t^7.941/(g1^5*y) + (3*g1^8*t^8.295)/y + (g1^6*t^8.471)/y + (4*g1^4*t^8.648)/y + (4*g1^2*t^8.824)/y - g1*t^4.412*y - g1^7*t^6.883*y - 2*g1^3*t^7.236*y + (2*t^7.588*y)/g1 + (t^7.941*y)/g1^5 + 3*g1^8*t^8.295*y + g1^6*t^8.471*y + 4*g1^4*t^8.648*y + 4*g1^2*t^8.824*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 |
---|---|---|---|---|---|---|---|---|
53834 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7172 | 0.8838 | 0.8115 | [M:[0.8014, 0.9338, 1.0662, 0.9338, 1.0, 0.9338], q:[0.5662, 0.6324], qb:[0.5, 0.4338], phi:[0.4669]] | t^2.404 + 4*t^2.801 + t^3. + t^3.397 + t^4.003 + t^4.202 + 2*t^4.401 + 2*t^4.599 + 2*t^4.798 + t^4.808 + t^4.997 + t^5.195 + 4*t^5.206 + 8*t^5.603 + 2*t^5.801 - 3*t^6. - t^4.401/y - t^4.401*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 |
---|---|---|---|---|---|---|---|---|---|
46581 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ | 0.7194 | 0.8833 | 0.8145 | [M:[0.8377, 0.8377, 1.0, 1.0, 1.0], q:[0.5812, 0.5812], qb:[0.5812, 0.4188], phi:[0.4594]] | 2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y | detail |