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 |
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3112 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6437 | 0.8602 | 0.7483 | [M:[0.9226, 1.2323, 0.9226, 0.7677, 0.7677, 0.8485, 0.7677], q:[0.7306, 0.3468], qb:[0.3468, 0.4209], phi:[0.5387]] | [M:[[4], [-12], [4], [12], [12], [-18], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$ | ${}M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1 | t^2.081 + 4*t^2.303 + t^2.545 + 2*t^2.768 + t^3.232 + t^3.697 + 2*t^3.919 + t^4.142 + t^4.162 + 4*t^4.384 + 10*t^4.606 + t^4.626 + 6*t^4.848 + 8*t^5.071 + t^5.091 + 3*t^5.313 + 6*t^5.535 + t^6. + 6*t^6.222 + 2*t^6.242 + 4*t^6.445 + 4*t^6.465 + 12*t^6.687 + t^6.707 + 21*t^6.909 + 4*t^6.929 + 14*t^7.152 + t^7.172 + 19*t^7.374 + 5*t^7.394 + 8*t^7.616 + t^7.636 + 16*t^7.838 + 2*t^7.858 + 2*t^8.061 - t^8.081 + t^8.283 - 2*t^8.303 + t^8.323 + 12*t^8.525 - t^8.545 + 10*t^8.748 - t^8.768 + 2*t^8.788 + 24*t^8.99 - t^4.616/y - (2*t^6.919)/y - t^7.162/y + (3*t^7.384)/y + (6*t^7.606)/y + t^7.626/y + (7*t^7.848)/y + (9*t^8.071)/y + (5*t^8.313)/y + (5*t^8.535)/y + (2*t^8.778)/y - t^4.616*y - 2*t^6.919*y - t^7.162*y + 3*t^7.384*y + 6*t^7.606*y + t^7.626*y + 7*t^7.848*y + 9*t^8.071*y + 5*t^8.313*y + 5*t^8.535*y + 2*t^8.778*y | t^2.081/g1^10 + 4*g1^12*t^2.303 + t^2.545/g1^18 + 2*g1^4*t^2.768 + t^3.232/g1^4 + t^3.697/g1^12 + 2*g1^10*t^3.919 + g1^32*t^4.142 + t^4.162/g1^20 + 4*g1^2*t^4.384 + 10*g1^24*t^4.606 + t^4.626/g1^28 + (6*t^4.848)/g1^6 + 8*g1^16*t^5.071 + t^5.091/g1^36 + (3*t^5.313)/g1^14 + 6*g1^8*t^5.535 + t^6. + 6*g1^22*t^6.222 + (2*t^6.242)/g1^30 + 4*g1^44*t^6.445 + (4*t^6.465)/g1^8 + 12*g1^14*t^6.687 + t^6.707/g1^38 + 21*g1^36*t^6.909 + (4*t^6.929)/g1^16 + 14*g1^6*t^7.152 + t^7.172/g1^46 + 19*g1^28*t^7.374 + (5*t^7.394)/g1^24 + (8*t^7.616)/g1^2 + t^7.636/g1^54 + 16*g1^20*t^7.838 + (2*t^7.858)/g1^32 + 2*g1^42*t^8.061 - t^8.081/g1^10 + g1^64*t^8.283 - 2*g1^12*t^8.303 + t^8.323/g1^40 + 12*g1^34*t^8.525 - t^8.545/g1^18 + 10*g1^56*t^8.748 - g1^4*t^8.768 + (2*t^8.788)/g1^48 + 24*g1^26*t^8.99 - t^4.616/(g1^2*y) - (2*g1^10*t^6.919)/y - t^7.162/(g1^20*y) + (3*g1^2*t^7.384)/y + (6*g1^24*t^7.606)/y + t^7.626/(g1^28*y) + (7*t^7.848)/(g1^6*y) + (9*g1^16*t^8.071)/y + (5*t^8.313)/(g1^14*y) + (5*g1^8*t^8.535)/y + (2*t^8.778)/(g1^22*y) - (t^4.616*y)/g1^2 - 2*g1^10*t^6.919*y - (t^7.162*y)/g1^20 + 3*g1^2*t^7.384*y + 6*g1^24*t^7.606*y + (t^7.626*y)/g1^28 + (7*t^7.848*y)/g1^6 + 9*g1^16*t^8.071*y + (5*t^8.313*y)/g1^14 + 5*g1^8*t^8.535*y + (2*t^8.778*y)/g1^22 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2041 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6256 | 0.8271 | 0.7564 | [M:[0.9254, 1.2239, 0.9254, 0.7761, 0.7761, 0.8358], q:[0.7313, 0.3433], qb:[0.3433, 0.4328], phi:[0.5373]] | t^2.06 + 3*t^2.328 + t^2.508 + 2*t^2.776 + t^3.224 + 2*t^3.672 + 2*t^3.94 + t^4.119 + t^4.209 + 3*t^4.388 + t^4.567 + 6*t^4.657 + 5*t^4.836 + t^5.015 + 6*t^5.104 + 3*t^5.284 + 5*t^5.552 + t^5.731 + 3*t^6. - t^4.612/y - t^4.612*y | detail |