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 |
---|---|---|---|---|---|---|---|---|---|
3465 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6447 | 0.8459 | 0.7621 | [M:[1.0, 1.0239, 0.9521, 1.0239, 0.756, 0.732, 0.732], q:[0.756, 0.244], qb:[0.512, 0.5359], phi:[0.488]] | [M:[[0], [4], [-8], [4], [1], [-3], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$ | ${}$ | -3 | 2*t^2.196 + 2*t^2.268 + t^2.34 + t^2.856 + t^3. + 2*t^3.072 + t^3.876 + 3*t^4.392 + 4*t^4.464 + 6*t^4.536 + 3*t^4.608 + 2*t^4.68 + 2*t^5.052 + t^5.124 + 2*t^5.196 + 6*t^5.268 + 5*t^5.34 + 2*t^5.412 + t^5.713 + t^5.856 - 3*t^6. + 2*t^6.072 + 4*t^6.144 + t^6.215 + 3*t^6.588 + 4*t^6.66 + 9*t^6.732 + 8*t^6.804 + 8*t^6.876 + 6*t^6.948 + 2*t^7.019 + 3*t^7.249 + 2*t^7.32 + 4*t^7.392 + 7*t^7.464 + 10*t^7.536 + 11*t^7.608 + 6*t^7.68 + 4*t^7.751 + 2*t^7.909 + t^7.981 + 2*t^8.052 + t^8.124 - 8*t^8.196 - 6*t^8.268 + 2*t^8.34 + 7*t^8.412 + 4*t^8.483 + 2*t^8.555 + t^8.569 + t^8.713 + 4*t^8.785 + t^8.856 + 9*t^8.928 - t^4.464/y - (2*t^6.66)/y - t^6.732/y - t^7.32/y + (2*t^7.392)/y + (4*t^7.464)/y + (2*t^7.536)/y + (3*t^7.608)/y + (2*t^8.052)/y + (2*t^8.124)/y + (4*t^8.196)/y + (8*t^8.268)/y + (5*t^8.34)/y + (2*t^8.412)/y - (2*t^8.856)/y - t^4.464*y - 2*t^6.66*y - t^6.732*y - t^7.32*y + 2*t^7.392*y + 4*t^7.464*y + 2*t^7.536*y + 3*t^7.608*y + 2*t^8.052*y + 2*t^8.124*y + 4*t^8.196*y + 8*t^8.268*y + 5*t^8.34*y + 2*t^8.412*y - 2*t^8.856*y | (2*t^2.196)/g1^3 + 2*g1*t^2.268 + g1^5*t^2.34 + t^2.856/g1^8 + t^3. + 2*g1^4*t^3.072 + g1^7*t^3.876 + (3*t^4.392)/g1^6 + (4*t^4.464)/g1^2 + 6*g1^2*t^4.536 + 3*g1^6*t^4.608 + 2*g1^10*t^4.68 + (2*t^5.052)/g1^11 + t^5.124/g1^7 + (2*t^5.196)/g1^3 + 6*g1*t^5.268 + 5*g1^5*t^5.34 + 2*g1^9*t^5.412 + t^5.713/g1^16 + t^5.856/g1^8 - 3*t^6. + 2*g1^4*t^6.072 + 4*g1^8*t^6.144 + g1^12*t^6.215 + (3*t^6.588)/g1^9 + (4*t^6.66)/g1^5 + (9*t^6.732)/g1 + 8*g1^3*t^6.804 + 8*g1^7*t^6.876 + 6*g1^11*t^6.948 + 2*g1^15*t^7.019 + (3*t^7.249)/g1^14 + (2*t^7.32)/g1^10 + (4*t^7.392)/g1^6 + (7*t^7.464)/g1^2 + 10*g1^2*t^7.536 + 11*g1^6*t^7.608 + 6*g1^10*t^7.68 + 4*g1^14*t^7.751 + (2*t^7.909)/g1^19 + t^7.981/g1^15 + (2*t^8.052)/g1^11 + t^8.124/g1^7 - (8*t^8.196)/g1^3 - 6*g1*t^8.268 + 2*g1^5*t^8.34 + 7*g1^9*t^8.412 + 4*g1^13*t^8.483 + 2*g1^17*t^8.555 + t^8.569/g1^24 + t^8.713/g1^16 + (4*t^8.785)/g1^12 + t^8.856/g1^8 + (9*t^8.928)/g1^4 - t^4.464/(g1^2*y) - (2*t^6.66)/(g1^5*y) - t^6.732/(g1*y) - t^7.32/(g1^10*y) + (2*t^7.392)/(g1^6*y) + (4*t^7.464)/(g1^2*y) + (2*g1^2*t^7.536)/y + (3*g1^6*t^7.608)/y + (2*t^8.052)/(g1^11*y) + (2*t^8.124)/(g1^7*y) + (4*t^8.196)/(g1^3*y) + (8*g1*t^8.268)/y + (5*g1^5*t^8.34)/y + (2*g1^9*t^8.412)/y - (2*t^8.856)/(g1^8*y) - (t^4.464*y)/g1^2 - (2*t^6.66*y)/g1^5 - (t^6.732*y)/g1 - (t^7.32*y)/g1^10 + (2*t^7.392*y)/g1^6 + (4*t^7.464*y)/g1^2 + 2*g1^2*t^7.536*y + 3*g1^6*t^7.608*y + (2*t^8.052*y)/g1^11 + (2*t^8.124*y)/g1^7 + (4*t^8.196*y)/g1^3 + 8*g1*t^8.268*y + 5*g1^5*t^8.34*y + 2*g1^9*t^8.412*y - (2*t^8.856*y)/g1^8 |
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 |
---|---|---|---|---|---|---|---|---|
5141 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6651 | 0.8848 | 0.7517 | [M:[1.0, 1.0293, 0.9413, 1.0293, 0.7573, 0.728, 0.728, 0.6987], q:[0.7573, 0.2427], qb:[0.5147, 0.544], phi:[0.4853]] | t^2.096 + 2*t^2.184 + 2*t^2.272 + t^2.36 + t^2.824 + t^3. + 2*t^3.088 + t^4.192 + 2*t^4.28 + 5*t^4.368 + 5*t^4.456 + 6*t^4.544 + 3*t^4.632 + 2*t^4.72 + t^4.92 + 2*t^5.008 + 2*t^5.096 + 4*t^5.184 + 6*t^5.272 + 5*t^5.36 + 2*t^5.448 + t^5.648 + t^5.824 - 3*t^6. - t^4.456/y - t^4.456*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 |
---|---|---|---|---|---|---|---|---|---|
2892 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.625 | 0.8101 | 0.7715 | [M:[1.0, 1.0193, 0.9615, 1.0193, 0.7548, 0.7356], q:[0.7548, 0.2452], qb:[0.5096, 0.5289], phi:[0.4904]] | t^2.207 + 2*t^2.264 + t^2.322 + t^2.884 + t^3. + 2*t^3.058 + t^3.793 + t^3.851 + t^4.413 + 2*t^4.471 + 5*t^4.529 + 3*t^4.587 + 2*t^4.644 + t^5.091 + t^5.149 + t^5.207 + 4*t^5.264 + 5*t^5.322 + 2*t^5.38 + t^5.769 + t^5.884 - 2*t^6. - t^4.471/y - t^4.471*y | detail |