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 |
---|---|---|---|---|---|---|---|---|---|
1265 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{6}$ | 0.7184 | 0.8712 | 0.8246 | [M:[0.891, 1.109, 0.891, 1.0, 0.7821, 1.109], q:[0.609, 0.5], qb:[0.5, 0.609], phi:[0.4455]] | [M:[[-2], [2], [-2], [0], [-4], [2]], q:[[2], [0]], qb:[[0], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | -3 | t^2.346 + t^2.673 + t^3. + 4*t^3.327 + 3*t^4.337 + 4*t^4.663 + t^4.693 + 3*t^4.99 + t^5.019 + 2*t^5.346 + t^5.673 - 3*t^6. + 9*t^6.654 + 3*t^6.683 + 3*t^7.01 + t^7.039 + 3*t^7.337 + t^7.366 + 8*t^7.663 + 2*t^7.693 + 8*t^7.99 + 2*t^8.019 + 5*t^8.317 - 3*t^8.346 + 2*t^8.673 - t^4.337/y - t^6.683/y - t^7.01/y + t^7.663/y + t^7.99/y + t^8.019/y + t^8.346/y + (5*t^8.673)/y - t^4.337*y - t^6.683*y - t^7.01*y + t^7.663*y + t^7.99*y + t^8.019*y + t^8.346*y + 5*t^8.673*y | t^2.346/g1^4 + t^2.673/g1^2 + t^3. + 4*g1^2*t^3.327 + (3*t^4.337)/g1 + 4*g1*t^4.663 + t^4.693/g1^8 + 3*g1^3*t^4.99 + t^5.019/g1^6 + (2*t^5.346)/g1^4 + t^5.673/g1^2 - 3*t^6. + 9*g1^4*t^6.654 + (3*t^6.683)/g1^5 + (3*t^7.01)/g1^3 + t^7.039/g1^12 + (3*t^7.337)/g1 + t^7.366/g1^10 + 8*g1*t^7.663 + (2*t^7.693)/g1^8 + 8*g1^3*t^7.99 + (2*t^8.019)/g1^6 + 5*g1^5*t^8.317 - (3*t^8.346)/g1^4 + (2*t^8.673)/g1^2 - t^4.337/(g1*y) - t^6.683/(g1^5*y) - t^7.01/(g1^3*y) + (g1*t^7.663)/y + (g1^3*t^7.99)/y + t^8.019/(g1^6*y) + t^8.346/(g1^4*y) + (5*t^8.673)/(g1^2*y) - (t^4.337*y)/g1 - (t^6.683*y)/g1^5 - (t^7.01*y)/g1^3 + g1*t^7.663*y + g1^3*t^7.99*y + (t^8.019*y)/g1^6 + (t^8.346*y)/g1^4 + (5*t^8.673*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 |
---|---|---|---|---|---|---|---|---|
2308 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.7093 | 0.857 | 0.8276 | [M:[0.9093, 1.0907, 0.9093, 1.0, 0.8187, 1.0907, 1.0907], q:[0.5907, 0.5], qb:[0.5, 0.5907], phi:[0.4547]] | t^2.456 + t^3. + 5*t^3.272 + 3*t^4.364 + 4*t^4.636 + 3*t^4.908 + t^4.912 + t^5.456 + t^5.728 - 7*t^6. - t^4.364/y - t^4.364*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 |
---|---|---|---|---|---|---|---|---|---|
781 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.7289 | 0.8891 | 0.8198 | [M:[0.8745, 1.1255, 0.8745, 1.0, 0.7491], q:[0.6255, 0.5], qb:[0.5, 0.6255], phi:[0.4373]] | t^2.247 + 2*t^2.624 + t^3. + 3*t^3.376 + 3*t^4.312 + t^4.494 + 4*t^4.688 + 2*t^4.871 + 3*t^5.065 + 4*t^5.247 + t^5.624 - t^6. - t^4.312/y - t^4.312*y | detail |