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 |
---|---|---|---|---|---|---|---|---|---|
1528 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6333 | 0.7731 | 0.8192 | [M:[1.0556, 0.8259, 1.0593, 0.8222, 1.1778, 1.1741], q:[0.5315, 0.4129], qb:[0.4093, 0.7648], phi:[0.4704]] | [M:[[-30], [22], [4], [-12], [12], [-22]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.467 + t^2.822 + t^3.167 + t^3.178 + t^3.522 + t^3.533 + t^3.867 + t^3.878 + 2*t^3.889 + t^4.233 + t^4.244 + t^4.6 + t^4.933 + t^5.289 + t^5.644 + t^5.989 - t^6. - t^6.011 + 2*t^6.334 + 2*t^6.345 + t^6.356 - t^6.366 + 2*t^6.689 + 2*t^6.7 + 2*t^6.711 + t^7.034 + t^7.045 + 2*t^7.056 + 2*t^7.067 + t^7.389 + 2*t^7.4 + t^7.411 + 2*t^7.422 + t^7.734 + t^7.745 + 3*t^7.756 + 2*t^7.767 + 2*t^7.778 + t^8.1 + t^8.111 + t^8.122 + 2*t^8.133 - t^8.478 + 2*t^8.489 + t^8.8 + t^8.811 - 2*t^8.822 - t^8.833 + t^8.844 - t^4.411/y + t^7.244/y - t^7.578/y + t^8.289/y + t^8.634/y + t^8.644/y + (2*t^8.989)/y - t^4.411*y + t^7.244*y - t^7.578*y + t^8.289*y + t^8.634*y + t^8.644*y + 2*t^8.989*y | t^2.467/g1^12 + t^2.822/g1^4 + t^3.167/g1^30 + g1^4*t^3.178 + t^3.522/g1^22 + g1^12*t^3.533 + t^3.867/g1^48 + t^3.878/g1^14 + 2*g1^20*t^3.889 + t^4.233/g1^6 + g1^28*t^4.244 + g1^36*t^4.6 + t^4.933/g1^24 + t^5.289/g1^16 + t^5.644/g1^8 + t^5.989/g1^34 - t^6. - g1^34*t^6.011 + (2*t^6.334)/g1^60 + (2*t^6.345)/g1^26 + g1^8*t^6.356 - g1^42*t^6.366 + (2*t^6.689)/g1^52 + (2*t^6.7)/g1^18 + 2*g1^16*t^6.711 + t^7.034/g1^78 + t^7.045/g1^44 + (2*t^7.056)/g1^10 + 2*g1^24*t^7.067 + t^7.389/g1^70 + (2*t^7.4)/g1^36 + t^7.411/g1^2 + 2*g1^32*t^7.422 + t^7.734/g1^96 + t^7.745/g1^62 + (3*t^7.756)/g1^28 + 2*g1^6*t^7.767 + 2*g1^40*t^7.778 + t^8.1/g1^54 + t^8.111/g1^20 + g1^14*t^8.122 + 2*g1^48*t^8.133 - g1^22*t^8.478 + 2*g1^56*t^8.489 + t^8.8/g1^72 + t^8.811/g1^38 - (2*t^8.822)/g1^4 - g1^30*t^8.833 + g1^64*t^8.844 - t^4.411/(g1^2*y) + (g1^28*t^7.244)/y - t^7.578/(g1^32*y) + t^8.289/(g1^16*y) + t^8.634/(g1^42*y) + t^8.644/(g1^8*y) + (2*t^8.989)/(g1^34*y) - (t^4.411*y)/g1^2 + g1^28*t^7.244*y - (t^7.578*y)/g1^32 + (t^8.289*y)/g1^16 + (t^8.634*y)/g1^42 + (t^8.644*y)/g1^8 + (2*t^8.989*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
2622 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6388 | 0.7826 | 0.8163 | [M:[1.0495, 0.8303, 1.0601, 0.8198, 1.1802, 1.1697, 0.9399], q:[0.5353, 0.4152], qb:[0.4046, 0.765], phi:[0.47]] | t^2.459 + 2*t^2.82 + t^3.149 + t^3.509 + t^3.541 + t^3.838 + t^3.869 + 2*t^3.901 + t^4.23 + t^4.261 + t^4.622 + t^4.919 + 2*t^5.279 + 2*t^5.64 + 2*t^5.968 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
2623 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6486 | 0.8003 | 0.8105 | [M:[1.0425, 0.8355, 1.061, 0.817, 1.183, 1.1645, 0.817], q:[0.5397, 0.4177], qb:[0.3993, 0.7652], phi:[0.4695]] | 2*t^2.451 + t^2.817 + t^3.128 + t^3.183 + t^3.494 + t^3.804 + t^3.86 + 2*t^3.915 + t^4.226 + t^4.281 + t^4.647 + 3*t^4.902 + 2*t^5.268 + t^5.579 + 2*t^5.634 + 2*t^5.945 - 2*t^6. - t^4.409/y - t^4.409*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 |
---|---|---|---|---|---|---|---|---|---|
981 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6487 | 0.7997 | 0.8112 | [M:[1.0791, 0.8087, 1.0561, 0.8316, 1.1684], q:[0.5166, 0.4043], qb:[0.4273, 0.764], phi:[0.4719]] | t^2.426 + t^2.495 + t^2.832 + t^3.168 + t^3.237 + t^3.505 + 2*t^3.842 + t^3.911 + t^3.98 + t^4.179 + t^4.247 + t^4.515 + t^4.852 + t^4.921 + t^4.99 + t^5.258 + t^5.327 + t^5.594 + 2*t^5.663 - t^6. - t^4.416/y - t^4.416*y | detail |