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 |
---|---|---|---|---|---|---|---|---|---|
4695 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6746 | 0.8562 | 0.7879 | [M:[1.0666, 0.8702, 1.1298, 0.807, 1.193, 0.772, 0.8702, 0.807], q:[0.4983, 0.4351], qb:[0.3719, 0.7579], phi:[0.4842]] | [M:[[-38], [14], [-14], [-10], [10], [40], [14], [-10]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$ | ${}$ | -3 | t^2.316 + 2*t^2.421 + 2*t^2.611 + t^2.905 + t^3.2 + t^3.769 + t^3.874 + 2*t^4.063 + t^4.253 + t^4.442 + t^4.632 + 2*t^4.737 + 3*t^4.842 + 2*t^4.926 + 4*t^5.032 + 4*t^5.221 + 2*t^5.326 + 3*t^5.516 + t^5.621 + t^5.81 - 3*t^6. + t^6.084 + t^6.105 + t^6.295 + 3*t^6.379 + t^6.4 + 4*t^6.484 + t^6.569 + 5*t^6.674 + t^6.758 - t^6.779 + 3*t^6.863 + t^6.948 + t^6.968 + 4*t^7.053 + t^7.158 + 2*t^7.242 + 3*t^7.263 + 4*t^7.347 + 3*t^7.453 + 4*t^7.537 + 6*t^7.642 + 3*t^7.747 + 6*t^7.832 + 5*t^7.937 + t^8.042 + 5*t^8.126 + t^8.211 - 2*t^8.316 + t^8.4 - 4*t^8.421 + 2*t^8.505 + t^8.526 - 8*t^8.611 + 4*t^8.695 + 3*t^8.716 + t^8.821 + 2*t^8.884 + t^8.905 + 6*t^8.99 - t^4.453/y - t^6.769/y - t^6.874/y - t^7.063/y + t^7.253/y - t^7.358/y + t^7.547/y - t^7.653/y + (2*t^7.737)/y + (2*t^7.842)/y + (2*t^7.926)/y + (5*t^8.032)/y + t^8.137/y + (2*t^8.221)/y + (2*t^8.326)/y + (3*t^8.516)/y + (2*t^8.621)/y + (2*t^8.81)/y - t^4.453*y - t^6.769*y - t^6.874*y - t^7.063*y + t^7.253*y - t^7.358*y + t^7.547*y - t^7.653*y + 2*t^7.737*y + 2*t^7.842*y + 2*t^7.926*y + 5*t^8.032*y + t^8.137*y + 2*t^8.221*y + 2*t^8.326*y + 3*t^8.516*y + 2*t^8.621*y + 2*t^8.81*y | g1^40*t^2.316 + (2*t^2.421)/g1^10 + 2*g1^14*t^2.611 + t^2.905/g1^12 + t^3.2/g1^38 + g1^34*t^3.769 + t^3.874/g1^16 + 2*g1^8*t^4.063 + g1^32*t^4.253 + g1^56*t^4.442 + g1^80*t^4.632 + 2*g1^30*t^4.737 + (3*t^4.842)/g1^20 + 2*g1^54*t^4.926 + 4*g1^4*t^5.032 + 4*g1^28*t^5.221 + (2*t^5.326)/g1^22 + 3*g1^2*t^5.516 + t^5.621/g1^48 + t^5.81/g1^24 - 3*t^6. + g1^74*t^6.084 + t^6.105/g1^50 + t^6.295/g1^26 + 3*g1^48*t^6.379 + t^6.4/g1^76 + (4*t^6.484)/g1^2 + g1^72*t^6.569 + 5*g1^22*t^6.674 + g1^96*t^6.758 - t^6.779/g1^28 + 3*g1^46*t^6.863 + g1^120*t^6.948 + t^6.968/g1^4 + 4*g1^70*t^7.053 + g1^20*t^7.158 + 2*g1^94*t^7.242 + (3*t^7.263)/g1^30 + 4*g1^44*t^7.347 + (3*t^7.453)/g1^6 + 4*g1^68*t^7.537 + 6*g1^18*t^7.642 + (3*t^7.747)/g1^32 + 6*g1^42*t^7.832 + (5*t^7.937)/g1^8 + t^8.042/g1^58 + 5*g1^16*t^8.126 + g1^90*t^8.211 - 2*g1^40*t^8.316 + g1^114*t^8.4 - (4*t^8.421)/g1^10 + 2*g1^64*t^8.505 + t^8.526/g1^60 - 8*g1^14*t^8.611 + 4*g1^88*t^8.695 + (3*t^8.716)/g1^36 + t^8.821/g1^86 + 2*g1^112*t^8.884 + t^8.905/g1^12 + 6*g1^62*t^8.99 - t^4.453/(g1^6*y) - (g1^34*t^6.769)/y - t^6.874/(g1^16*y) - (g1^8*t^7.063)/y + (g1^32*t^7.253)/y - t^7.358/(g1^18*y) + (g1^6*t^7.547)/y - t^7.653/(g1^44*y) + (2*g1^30*t^7.737)/y + (2*t^7.842)/(g1^20*y) + (2*g1^54*t^7.926)/y + (5*g1^4*t^8.032)/y + t^8.137/(g1^46*y) + (2*g1^28*t^8.221)/y + (2*t^8.326)/(g1^22*y) + (3*g1^2*t^8.516)/y + (2*t^8.621)/(g1^48*y) + (2*t^8.81)/(g1^24*y) - (t^4.453*y)/g1^6 - g1^34*t^6.769*y - (t^6.874*y)/g1^16 - g1^8*t^7.063*y + g1^32*t^7.253*y - (t^7.358*y)/g1^18 + g1^6*t^7.547*y - (t^7.653*y)/g1^44 + 2*g1^30*t^7.737*y + (2*t^7.842*y)/g1^20 + 2*g1^54*t^7.926*y + 5*g1^4*t^8.032*y + (t^8.137*y)/g1^46 + 2*g1^28*t^8.221*y + (2*t^8.326*y)/g1^22 + 3*g1^2*t^8.516*y + (2*t^8.621*y)/g1^48 + (2*t^8.81*y)/g1^24 |
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 |
---|---|---|---|---|---|---|---|---|
6248 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{6}^{2}$ | 0.6296 | 0.7984 | 0.7886 | [M:[0.85, 0.95, 1.05, 0.75, 1.25, 1.0, 0.95, 0.75], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]] | 2*t^2.25 + t^2.55 + t^2.7 + 2*t^2.85 + t^3. + t^3.6 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^4.8 + 2*t^4.95 + 5*t^5.1 + 3*t^5.25 + 2*t^5.4 + 3*t^5.55 + 4*t^5.7 + 3*t^5.85 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 16119/25600, c: 20439/25600, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 1, M7: 19/20, M8: 3/4, q1: 27/40, q2: 19/40, qb1: 11/40, qb2: 31/40, phi1: 9/20} |
6259 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.695 | 0.8952 | 0.7764 | [M:[1.071, 0.8686, 1.1314, 0.8082, 1.1918, 0.7674, 0.8686, 0.8082, 0.7069], q:[0.4947, 0.4343], qb:[0.3739, 0.7576], phi:[0.4849]] | t^2.121 + t^2.302 + 2*t^2.424 + 2*t^2.606 + t^2.909 + t^3.213 + t^3.757 + 2*t^4.06 + 2*t^4.242 + 2*t^4.423 + 2*t^4.545 + t^4.604 + 4*t^4.727 + 3*t^4.849 + 2*t^4.908 + 5*t^5.03 + 4*t^5.211 + 3*t^5.334 + 3*t^5.515 + t^5.637 + t^5.819 + t^5.878 - 3*t^6. - t^4.455/y - t^4.455*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 |
---|---|---|---|---|---|---|---|---|---|
2608 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6586 | 0.8288 | 0.7947 | [M:[1.0747, 0.8672, 1.1328, 0.8091, 1.1909, 0.7635, 0.8672], q:[0.4917, 0.4336], qb:[0.3755, 0.7573], phi:[0.4855]] | t^2.29 + t^2.427 + 2*t^2.602 + t^2.913 + t^3.224 + t^3.573 + t^3.747 + t^3.884 + 2*t^4.058 + t^4.232 + t^4.407 + t^4.581 + t^4.718 + t^4.855 + 2*t^4.892 + 2*t^5.029 + 4*t^5.203 + t^5.34 + 3*t^5.515 + t^5.826 + t^5.863 - 2*t^6. - t^4.456/y - t^4.456*y | detail |