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 |
---|---|---|---|---|---|---|---|---|---|
2839 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6244 | 0.8111 | 0.7698 | [M:[0.9936, 1.0191, 1.0064, 0.7548, 0.7548], q:[0.7484, 0.258], qb:[0.4841, 0.4968], phi:[0.5032]] | [M:[[4], [-12], [-4], [-3], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | t^2.226 + 3*t^2.264 + 2*t^3.019 + 2*t^3.057 + t^3.697 + t^3.774 + t^4.414 + 2*t^4.452 + 4*t^4.49 + 6*t^4.529 + 2*t^5.245 + 7*t^5.283 + 5*t^5.322 + t^5.923 + t^5.962 - 3*t^6. + 3*t^6.038 + 4*t^6.077 + 3*t^6.115 + t^6.64 + 3*t^6.678 + 5*t^6.717 + 7*t^6.755 + 9*t^6.793 + t^6.831 + t^7.471 + 6*t^7.51 + 15*t^7.548 + 9*t^7.586 + t^8.111 + t^8.15 - t^8.188 - 5*t^8.226 - 8*t^8.264 + 8*t^8.303 + 11*t^8.341 + 7*t^8.379 + t^8.828 + 2*t^8.866 + 4*t^8.904 + 6*t^8.943 + 5*t^8.981 - t^4.51/y - (2*t^6.774)/y + t^7.452/y + (4*t^7.49)/y + (2*t^7.529)/y - t^7.567/y + (4*t^8.245)/y + (8*t^8.283)/y + (6*t^8.322)/y + t^8.923/y + (3*t^8.962)/y - t^4.51*y - 2*t^6.774*y + t^7.452*y + 4*t^7.49*y + 2*t^7.529*y - t^7.567*y + 4*t^8.245*y + 8*t^8.283*y + 6*t^8.322*y + t^8.923*y + 3*t^8.962*y | g1^5*t^2.226 + (3*t^2.264)/g1^3 + (2*t^3.019)/g1^4 + (2*t^3.057)/g1^12 + g1^11*t^3.697 + t^3.774/g1^5 + g1^18*t^4.414 + 2*g1^10*t^4.452 + 4*g1^2*t^4.49 + (6*t^4.529)/g1^6 + 2*g1*t^5.245 + (7*t^5.283)/g1^7 + (5*t^5.322)/g1^15 + g1^16*t^5.923 + g1^8*t^5.962 - 3*t^6. + (3*t^6.038)/g1^8 + (4*t^6.077)/g1^16 + (3*t^6.115)/g1^24 + g1^23*t^6.64 + 3*g1^15*t^6.678 + 5*g1^7*t^6.717 + (7*t^6.755)/g1 + (9*t^6.793)/g1^9 + t^6.831/g1^17 + g1^6*t^7.471 + (6*t^7.51)/g1^2 + (15*t^7.548)/g1^10 + (9*t^7.586)/g1^18 + g1^29*t^8.111 + g1^21*t^8.15 - g1^13*t^8.188 - 5*g1^5*t^8.226 - (8*t^8.264)/g1^3 + (8*t^8.303)/g1^11 + (11*t^8.341)/g1^19 + (7*t^8.379)/g1^27 + g1^36*t^8.828 + 2*g1^28*t^8.866 + 4*g1^20*t^8.904 + 6*g1^12*t^8.943 + 5*g1^4*t^8.981 - t^4.51/(g1^2*y) - (2*t^6.774)/(g1^5*y) + (g1^10*t^7.452)/y + (4*g1^2*t^7.49)/y + (2*t^7.529)/(g1^6*y) - t^7.567/(g1^14*y) + (4*g1*t^8.245)/y + (8*t^8.283)/(g1^7*y) + (6*t^8.322)/(g1^15*y) + (g1^16*t^8.923)/y + (3*g1^8*t^8.962)/y - (t^4.51*y)/g1^2 - (2*t^6.774*y)/g1^5 + g1^10*t^7.452*y + 4*g1^2*t^7.49*y + (2*t^7.529*y)/g1^6 - (t^7.567*y)/g1^14 + 4*g1*t^8.245*y + (8*t^8.283*y)/g1^7 + (6*t^8.322*y)/g1^15 + g1^16*t^8.923*y + 3*g1^8*t^8.962*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 |
---|---|---|---|---|---|---|---|---|
3390 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6431 | 0.8464 | 0.7598 | [M:[1.0005, 0.9984, 0.9995, 0.7496, 0.7496, 0.7485], q:[0.7501, 0.2493], qb:[0.5013, 0.5003], phi:[0.4997]] | t^2.246 + 3*t^2.249 + t^2.252 + 2*t^2.995 + 2*t^2.998 + t^3.748 + t^4.491 + 3*t^4.494 + 7*t^4.498 + 4*t^4.501 + 2*t^4.504 + t^4.507 + 2*t^5.241 + 7*t^5.244 + 7*t^5.247 + 2*t^5.25 + 3*t^5.99 + 5*t^5.994 + 3*t^5.997 - 3*t^6. - t^4.499/y - t^4.499*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 |
---|---|---|---|---|---|---|---|---|---|
1822 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6055 | 0.7768 | 0.7796 | [M:[0.9916, 1.0252, 1.0084, 0.7563], q:[0.7479, 0.2605], qb:[0.479, 0.4958], phi:[0.5042]] | t^2.218 + 2*t^2.269 + 2*t^3.025 + 2*t^3.076 + t^3.681 + t^3.731 + t^3.782 + t^4.386 + 2*t^4.437 + 3*t^4.487 + 3*t^4.538 + 2*t^5.244 + 5*t^5.294 + 3*t^5.345 + t^5.899 + t^5.95 - t^6. - t^4.513/y - t^4.513*y | detail |