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 |
---|---|---|---|---|---|---|---|---|---|
1505 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}M_{6}$ | 0.6997 | 0.8583 | 0.8153 | [M:[1.0, 0.9508, 0.9015, 1.0492, 1.0246, 0.9754], q:[0.5615, 0.4385], qb:[0.5369, 0.5123], phi:[0.4877]] | [M:[[0], [-4], [-8], [4], [2], [-2]], q:[[5], [-5]], qb:[[3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.705 + t^2.852 + 2*t^2.926 + t^3. + t^3.148 + t^3.222 + t^4.094 + t^4.315 + t^4.389 + t^4.463 + t^4.537 + t^4.611 + 2*t^4.685 + t^4.758 + t^4.832 + t^5.409 + t^5.557 + t^5.631 + t^5.705 + t^5.778 + 4*t^5.852 + t^5.926 - 2*t^6. + t^6.074 + t^6.148 + t^6.443 + t^6.798 + t^6.946 + 3*t^7.02 + t^7.094 + 3*t^7.242 + 4*t^7.315 + 2*t^7.389 + t^7.463 + 3*t^7.537 + 3*t^7.611 + 3*t^7.685 + t^7.758 + t^7.832 + t^7.906 + t^7.98 + t^8.054 + t^8.114 + t^8.188 + t^8.262 + t^8.335 + 2*t^8.409 + t^8.483 + 3*t^8.557 + t^8.631 + 6*t^8.778 - t^8.852 - 4*t^8.926 - t^4.463/y - t^7.168/y - t^7.389/y + t^7.537/y + t^7.758/y + t^8.557/y + (2*t^8.631)/y + t^8.705/y + (2*t^8.778)/y + (3*t^8.852)/y + (3*t^8.926)/y - t^4.463*y - t^7.168*y - t^7.389*y + t^7.537*y + t^7.758*y + t^8.557*y + 2*t^8.631*y + t^8.705*y + 2*t^8.778*y + 3*t^8.852*y + 3*t^8.926*y | t^2.705/g1^8 + t^2.852/g1^4 + (2*t^2.926)/g1^2 + t^3. + g1^4*t^3.148 + g1^6*t^3.222 + t^4.094/g1^11 + t^4.315/g1^5 + t^4.389/g1^3 + t^4.463/g1 + g1*t^4.537 + g1^3*t^4.611 + 2*g1^5*t^4.685 + g1^7*t^4.758 + g1^9*t^4.832 + t^5.409/g1^16 + t^5.557/g1^12 + t^5.631/g1^10 + t^5.705/g1^8 + t^5.778/g1^6 + (4*t^5.852)/g1^4 + t^5.926/g1^2 - 2*t^6. + g1^2*t^6.074 + g1^4*t^6.148 + g1^12*t^6.443 + t^6.798/g1^19 + t^6.946/g1^15 + (3*t^7.02)/g1^13 + t^7.094/g1^11 + (3*t^7.242)/g1^7 + (4*t^7.315)/g1^5 + (2*t^7.389)/g1^3 + t^7.463/g1 + 3*g1*t^7.537 + 3*g1^3*t^7.611 + 3*g1^5*t^7.685 + g1^7*t^7.758 + g1^9*t^7.832 + g1^11*t^7.906 + g1^13*t^7.98 + g1^15*t^8.054 + t^8.114/g1^24 + t^8.188/g1^22 + t^8.262/g1^20 + t^8.335/g1^18 + (2*t^8.409)/g1^16 + t^8.483/g1^14 + (3*t^8.557)/g1^12 + t^8.631/g1^10 + (6*t^8.778)/g1^6 - t^8.852/g1^4 - (4*t^8.926)/g1^2 - t^4.463/(g1*y) - t^7.168/(g1^9*y) - t^7.389/(g1^3*y) + (g1*t^7.537)/y + (g1^7*t^7.758)/y + t^8.557/(g1^12*y) + (2*t^8.631)/(g1^10*y) + t^8.705/(g1^8*y) + (2*t^8.778)/(g1^6*y) + (3*t^8.852)/(g1^4*y) + (3*t^8.926)/(g1^2*y) - (t^4.463*y)/g1 - (t^7.168*y)/g1^9 - (t^7.389*y)/g1^3 + g1*t^7.537*y + g1^7*t^7.758*y + (t^8.557*y)/g1^12 + (2*t^8.631*y)/g1^10 + (t^8.705*y)/g1^8 + (2*t^8.778*y)/g1^6 + (3*t^8.852*y)/g1^4 + (3*t^8.926*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2595 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7049 | 0.8679 | 0.8122 | [M:[1.0, 0.9381, 0.8763, 1.0619, 1.0309, 0.9691, 0.9381], q:[0.5773, 0.4227], qb:[0.5464, 0.5155], phi:[0.4845]] | t^2.629 + 2*t^2.814 + 2*t^2.907 + t^3. + t^3.278 + t^3.99 + t^4.268 + t^4.361 + t^4.454 + t^4.546 + t^4.639 + 2*t^4.732 + t^4.825 + t^4.918 + t^5.258 + 2*t^5.443 + t^5.536 + 3*t^5.629 + 3*t^5.722 + 4*t^5.814 + t^5.907 - 3*t^6. - t^4.454/y - t^4.454*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 |
---|---|---|---|---|---|---|---|---|---|
968 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6976 | 0.8545 | 0.8164 | [M:[1.0, 0.9574, 0.9148, 1.0426, 1.0213], q:[0.5533, 0.4467], qb:[0.532, 0.5107], phi:[0.4893]] | t^2.744 + t^2.872 + t^2.936 + t^3. + t^3.064 + t^3.128 + t^3.192 + t^4.149 + t^4.34 + t^4.404 + t^4.468 + t^4.532 + t^4.596 + 2*t^4.66 + t^4.724 + t^4.788 + t^5.489 + t^5.617 + t^5.744 + t^5.808 + 2*t^5.872 + t^5.936 - t^6. - t^4.468/y - t^4.468*y | detail |