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 |
---|---|---|---|---|---|---|---|---|---|
48285 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6858 | 0.8499 | 0.8069 | [M:[0.945, 1.011, 1.1209, 0.7473, 0.7473], q:[0.5825, 0.4725], qb:[0.4066, 0.7802], phi:[0.4396]] | [M:[[-22], [-32], [12], [8], [8]], q:[[33], [-11]], qb:[[-1], [3]], phi:[[-6]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$ | ${}$ | -2 | 2*t^2.242 + t^2.637 + t^2.835 + t^3.033 + t^3.363 + t^3.56 + t^3.956 + t^4.088 + t^4.154 + t^4.286 + 4*t^4.484 + t^4.813 + 2*t^4.879 + 2*t^5.077 + 3*t^5.275 + 2*t^5.604 + t^5.67 + t^5.802 + t^5.868 - 2*t^6. + t^6.066 + 2*t^6.198 + t^6.33 + 3*t^6.396 + t^6.528 + t^6.593 + 6*t^6.725 + t^6.791 + t^6.923 + t^6.989 + 2*t^7.055 + 3*t^7.121 + t^7.187 + 3*t^7.319 + t^7.451 + 5*t^7.516 + t^7.648 + 3*t^7.846 + 3*t^7.912 + t^8.044 + 3*t^8.11 + t^8.176 - 5*t^8.242 + 3*t^8.308 + t^8.374 + 2*t^8.44 + t^8.505 + t^8.572 + 3*t^8.637 + t^8.703 + t^8.769 - 2*t^8.835 + 2*t^8.901 + 8*t^8.967 - t^4.319/y - (2*t^6.56)/y - t^7.154/y + t^7.286/y - t^7.352/y + (2*t^7.484)/y + (2*t^7.879)/y + (4*t^8.077)/y + (2*t^8.275)/y + t^8.472/y + (2*t^8.604)/y + t^8.67/y - t^8.802/y + t^8.868/y - t^4.319*y - 2*t^6.56*y - t^7.154*y + t^7.286*y - t^7.352*y + 2*t^7.484*y + 2*t^7.879*y + 4*t^8.077*y + 2*t^8.275*y + t^8.472*y + 2*t^8.604*y + t^8.67*y - t^8.802*y + t^8.868*y | 2*g1^8*t^2.242 + t^2.637/g1^12 + t^2.835/g1^22 + t^3.033/g1^32 + g1^12*t^3.363 + g1^2*t^3.56 + t^3.956/g1^18 + g1^36*t^4.088 + t^4.154/g1^28 + g1^26*t^4.286 + 4*g1^16*t^4.484 + g1^60*t^4.813 + (2*t^4.879)/g1^4 + (2*t^5.077)/g1^14 + (3*t^5.275)/g1^24 + 2*g1^20*t^5.604 + t^5.67/g1^44 + g1^10*t^5.802 + t^5.868/g1^54 - 2*t^6. + t^6.066/g1^64 + (2*t^6.198)/g1^10 + g1^44*t^6.33 + (3*t^6.396)/g1^20 + g1^34*t^6.528 + t^6.593/g1^30 + 6*g1^24*t^6.725 + t^6.791/g1^40 + g1^14*t^6.923 + t^6.989/g1^50 + 2*g1^68*t^7.055 + 3*g1^4*t^7.121 + t^7.187/g1^60 + (3*t^7.319)/g1^6 + g1^48*t^7.451 + (5*t^7.516)/g1^16 + g1^38*t^7.648 + 3*g1^28*t^7.846 + (3*t^7.912)/g1^36 + g1^18*t^8.044 + (3*t^8.11)/g1^46 + g1^72*t^8.176 - 5*g1^8*t^8.242 + (3*t^8.308)/g1^56 + g1^62*t^8.374 + (2*t^8.44)/g1^2 + t^8.505/g1^66 + g1^52*t^8.572 + (3*t^8.637)/g1^12 + t^8.703/g1^76 + g1^42*t^8.769 - (2*t^8.835)/g1^22 + t^8.901/g1^86 + g1^96*t^8.901 + 8*g1^32*t^8.967 - t^4.319/(g1^6*y) - (2*g1^2*t^6.56)/y - t^7.154/(g1^28*y) + (g1^26*t^7.286)/y - t^7.352/(g1^38*y) + (2*g1^16*t^7.484)/y + (2*t^7.879)/(g1^4*y) + (4*t^8.077)/(g1^14*y) + (2*t^8.275)/(g1^24*y) + t^8.472/(g1^34*y) + (2*g1^20*t^8.604)/y + t^8.67/(g1^44*y) - (g1^10*t^8.802)/y + t^8.868/(g1^54*y) - (t^4.319*y)/g1^6 - 2*g1^2*t^6.56*y - (t^7.154*y)/g1^28 + g1^26*t^7.286*y - (t^7.352*y)/g1^38 + 2*g1^16*t^7.484*y + (2*t^7.879*y)/g1^4 + (4*t^8.077*y)/g1^14 + (2*t^8.275*y)/g1^24 + (t^8.472*y)/g1^34 + 2*g1^20*t^8.604*y + (t^8.67*y)/g1^44 - g1^10*t^8.802*y + (t^8.868*y)/g1^54 |
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 |
---|---|---|---|---|---|---|---|---|
55992 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.6852 | 0.8495 | 0.8065 | [M:[0.963, 1.037, 1.1111, 0.7407, 0.7407], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | 2*t^2.222 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + 2*t^4. + 2*t^4.222 + 4*t^4.444 + t^4.667 + 2*t^4.889 + 2*t^5.111 + 3*t^5.333 + 2*t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 23975/34992, c: 14863/17496, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 20/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
46533 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[0.9413, 1.0055, 1.1229, 0.7486], q:[0.588, 0.4707], qb:[0.4064, 0.7807], phi:[0.4385]] | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. - t^4.316/y - t^4.316*y | detail |