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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4408 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}M_{8}$ | 0.5705 | 0.7151 | 0.7978 | [X:[1.5698], M:[1.2907, 1.1395, 0.4302, 1.0116, 0.7093, 0.9884, 0.7093, 0.9884], q:[0.3431, 0.3662], qb:[0.6453, 0.9244], phi:[0.4302]] | [X:[[2]], M:[[-6], [4], [-2], [-14], [6], [14], [6], [14]], q:[[17], [-11]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.128 + 2*t^2.965 + t^3.349 + 2*t^3.419 + t^3.488 + t^3.803 + 3*t^4.256 + t^4.709 + 4*t^5.093 + 2*t^5.477 + 3*t^5.547 + t^5.616 + 4*t^5.93 - 3*t^6. - t^6.07 + 2*t^6.314 + 6*t^6.384 + t^6.698 + 3*t^6.768 + 2*t^6.837 + t^6.976 + t^7.152 + 6*t^7.221 - 2*t^7.291 - t^7.36 + 4*t^7.605 + 4*t^7.675 - t^7.744 + 7*t^8.058 - 6*t^8.128 - 2*t^8.197 + 4*t^8.442 + 7*t^8.512 - 2*t^8.581 + 2*t^8.826 + 7*t^8.896 - 4*t^8.965 - t^4.291/y - t^6.419/y + t^7.325/y + (4*t^8.093)/y + t^8.163/y + (2*t^8.477)/y + (3*t^8.547)/y + (2*t^8.616)/y + (3*t^8.93)/y - t^4.291*y - t^6.419*y + t^7.325*y + 4*t^8.093*y + t^8.163*y + 2*t^8.477*y + 3*t^8.547*y + 2*t^8.616*y + 3*t^8.93*y | 2*g1^6*t^2.128 + 2*g1^14*t^2.965 + g1^32*t^3.349 + 2*g1^4*t^3.419 + t^3.488/g1^24 + g1^22*t^3.803 + 3*g1^12*t^4.256 + g1^2*t^4.709 + 4*g1^20*t^5.093 + 2*g1^38*t^5.477 + 3*g1^10*t^5.547 + t^5.616/g1^18 + 4*g1^28*t^5.93 - 3*t^6. - t^6.07/g1^28 + 2*g1^46*t^6.314 + 6*g1^18*t^6.384 + g1^64*t^6.698 + 3*g1^36*t^6.768 + 2*g1^8*t^6.837 + t^6.976/g1^48 + g1^54*t^7.152 + 6*g1^26*t^7.221 - (2*t^7.291)/g1^2 - t^7.36/g1^30 + 4*g1^44*t^7.605 + 4*g1^16*t^7.675 - t^7.744/g1^12 + 7*g1^34*t^8.058 - 6*g1^6*t^8.128 - (2*t^8.197)/g1^22 + 4*g1^52*t^8.442 + 7*g1^24*t^8.512 - (2*t^8.581)/g1^4 + 2*g1^70*t^8.826 + 7*g1^42*t^8.896 - 4*g1^14*t^8.965 - t^4.291/(g1^2*y) - (g1^4*t^6.419)/y + t^7.325/(g1^16*y) + (4*g1^20*t^8.093)/y + t^8.163/(g1^8*y) + (2*g1^38*t^8.477)/y + (3*g1^10*t^8.547)/y + (2*t^8.616)/(g1^18*y) + (3*g1^28*t^8.93)/y - (t^4.291*y)/g1^2 - g1^4*t^6.419*y + (t^7.325*y)/g1^16 + 4*g1^20*t^8.093*y + (t^8.163*y)/g1^8 + 2*g1^38*t^8.477*y + 3*g1^10*t^8.547*y + (2*t^8.616*y)/g1^18 + 3*g1^28*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
5900 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}^{2}$ | 0.5839 | 0.7355 | 0.7939 | [X:[1.5742], M:[1.2774, 1.1484, 0.4258, 0.9806, 0.7226, 1.0194, 0.7226, 1.0194, 0.8127], q:[0.3807, 0.3419], qb:[0.6387, 0.9355], phi:[0.4258]] | 2*t^2.168 + t^2.438 + 2*t^3.058 + t^3.329 + 2*t^3.445 + t^3.949 + 3*t^4.336 + 2*t^4.606 + t^4.723 + t^4.876 + 4*t^5.226 + 3*t^5.496 + 3*t^5.613 + t^5.767 + t^5.883 - 3*t^6. - t^4.277/y - t^4.277*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 |
---|---|---|---|---|---|---|---|---|---|
2388 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.5703 | 0.7124 | 0.8005 | [X:[1.5726], M:[1.2822, 1.1452, 0.4274, 0.9919, 0.7178, 1.0081, 0.7178], q:[0.367, 0.3508], qb:[0.6411, 0.9315], phi:[0.4274]] | 2*t^2.153 + t^2.976 + t^3.024 + t^3.387 + 2*t^3.436 + t^3.484 + t^3.895 + 3*t^4.307 + t^4.718 + 2*t^5.129 + 2*t^5.178 + t^5.54 + 3*t^5.589 + 2*t^5.637 - 2*t^6. - t^4.282/y - t^4.282*y | detail |