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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5211 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7097 | 0.9158 | 0.7749 | [M:[0.8205, 1.0598, 1.1795, 0.7009, 0.8205, 1.0514, 0.7009, 0.7178], q:[0.4145, 0.765], qb:[0.406, 0.5341], phi:[0.4701]] | [M:[[-12], [4], [12], [-20], [-12], [-30], [-20], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 | {a: 27929449/39356652, c: 9011135/9839163, M1: 1486/1811, M2: 5758/5433, M3: 2136/1811, M4: 3808/5433, M5: 1486/1811, M6: 1904/1811, M7: 3808/5433, M8: 1300/1811, q1: 2252/5433, q2: 4156/5433, qb1: 2206/5433, qb2: 2902/5433, phi1: 2554/5433} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.103 + t^2.154 + 2*t^2.462 + t^2.821 + t^3.154 + t^3.179 + t^3.513 + t^3.872 + 3*t^4.205 + t^4.231 + 3*t^4.256 + t^4.307 + 4*t^4.564 + 3*t^4.615 + 5*t^4.923 + t^4.974 + 2*t^5.257 + 4*t^5.282 + t^5.308 + t^5.333 + 3*t^5.616 + 2*t^5.641 + t^5.666 + 4*t^5.975 - 2*t^6. + 5*t^6.308 + 5*t^6.334 + 3*t^6.359 + 3*t^6.41 + t^6.461 + 7*t^6.667 + 2*t^6.692 + 6*t^6.718 + 3*t^6.769 + 9*t^7.026 - t^7.051 + 5*t^7.077 + t^7.128 + 3*t^7.359 + 11*t^7.385 + 4*t^7.436 + t^7.461 + t^7.486 + 5*t^7.718 + 7*t^7.744 + 2*t^7.769 + t^7.82 + 8*t^8.077 - 2*t^8.103 + t^8.128 - 3*t^8.154 + 7*t^8.411 + 11*t^8.436 + t^8.487 + 3*t^8.512 + 3*t^8.563 + t^8.614 + 11*t^8.77 + 8*t^8.795 + 3*t^8.821 + 7*t^8.871 + 3*t^8.922 - t^4.41/y - (2*t^6.513)/y - t^6.564/y - t^6.872/y + t^7.205/y + (3*t^7.256)/y + (3*t^7.564)/y + (2*t^7.615)/y + (3*t^7.923)/y + t^7.949/y + t^7.974/y + (3*t^8.257)/y + (4*t^8.282)/y + (3*t^8.308)/y + t^8.333/y + t^8.616/y + (2*t^8.641)/y - t^8.666/y - t^8.717/y + (3*t^8.975)/y - t^4.41*y - 2*t^6.513*y - t^6.564*y - t^6.872*y + t^7.205*y + 3*t^7.256*y + 3*t^7.564*y + 2*t^7.615*y + 3*t^7.923*y + t^7.949*y + t^7.974*y + 3*t^8.257*y + 4*t^8.282*y + 3*t^8.308*y + t^8.333*y + t^8.616*y + 2*t^8.641*y - t^8.666*y - t^8.717*y + 3*t^8.975*y | (2*t^2.103)/g1^20 + g1^48*t^2.154 + (2*t^2.462)/g1^12 + t^2.821/g1^4 + t^3.154/g1^30 + g1^4*t^3.179 + t^3.513/g1^22 + t^3.872/g1^14 + (3*t^4.205)/g1^40 + t^4.231/g1^6 + 3*g1^28*t^4.256 + g1^96*t^4.307 + (4*t^4.564)/g1^32 + 3*g1^36*t^4.615 + (5*t^4.923)/g1^24 + g1^44*t^4.974 + (2*t^5.257)/g1^50 + (4*t^5.282)/g1^16 + g1^18*t^5.308 + g1^52*t^5.333 + (3*t^5.616)/g1^42 + (2*t^5.641)/g1^8 + g1^26*t^5.666 + (4*t^5.975)/g1^34 - 2*t^6. + (5*t^6.308)/g1^60 + (5*t^6.334)/g1^26 + 3*g1^8*t^6.359 + 3*g1^76*t^6.41 + g1^144*t^6.461 + (7*t^6.667)/g1^52 + (2*t^6.692)/g1^18 + 6*g1^16*t^6.718 + 3*g1^84*t^6.769 + (9*t^7.026)/g1^44 - t^7.051/g1^10 + 5*g1^24*t^7.077 + g1^92*t^7.128 + (3*t^7.359)/g1^70 + (11*t^7.385)/g1^36 + 4*g1^32*t^7.436 + g1^66*t^7.461 + g1^100*t^7.486 + (5*t^7.718)/g1^62 + (7*t^7.744)/g1^28 + 2*g1^6*t^7.769 + g1^74*t^7.82 + (8*t^8.077)/g1^54 - (2*t^8.103)/g1^20 + g1^14*t^8.128 - 3*g1^48*t^8.154 + (7*t^8.411)/g1^80 + (11*t^8.436)/g1^46 + g1^22*t^8.487 + 3*g1^56*t^8.512 + 3*g1^124*t^8.563 + g1^192*t^8.614 + (11*t^8.77)/g1^72 + (8*t^8.795)/g1^38 + (3*t^8.821)/g1^4 + 7*g1^64*t^8.871 + 3*g1^132*t^8.922 - t^4.41/(g1^2*y) - (2*t^6.513)/(g1^22*y) - (g1^46*t^6.564)/y - t^6.872/(g1^14*y) + t^7.205/(g1^40*y) + (3*g1^28*t^7.256)/y + (3*t^7.564)/(g1^32*y) + (2*g1^36*t^7.615)/y + (3*t^7.923)/(g1^24*y) + (g1^10*t^7.949)/y + (g1^44*t^7.974)/y + (3*t^8.257)/(g1^50*y) + (4*t^8.282)/(g1^16*y) + (3*g1^18*t^8.308)/y + (g1^52*t^8.333)/y + t^8.616/(g1^42*y) + (2*t^8.641)/(g1^8*y) - (g1^26*t^8.666)/y - (g1^94*t^8.717)/y + (3*t^8.975)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.513*y)/g1^22 - g1^46*t^6.564*y - (t^6.872*y)/g1^14 + (t^7.205*y)/g1^40 + 3*g1^28*t^7.256*y + (3*t^7.564*y)/g1^32 + 2*g1^36*t^7.615*y + (3*t^7.923*y)/g1^24 + g1^10*t^7.949*y + g1^44*t^7.974*y + (3*t^8.257*y)/g1^50 + (4*t^8.282*y)/g1^16 + 3*g1^18*t^8.308*y + g1^52*t^8.333*y + (t^8.616*y)/g1^42 + (2*t^8.641*y)/g1^8 - g1^26*t^8.666*y - g1^94*t^8.717*y + (3*t^8.975*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3537 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6899 | 0.8808 | 0.7832 | [M:[0.8138, 1.0621, 1.1862, 0.6897, 0.8138, 1.0345, 0.6897], q:[0.4207, 0.7655], qb:[0.3931, 0.5448], phi:[0.469]] | 2*t^2.069 + 2*t^2.441 + t^2.814 + t^3.104 + t^3.186 + t^3.476 + t^3.766 + t^3.848 + 3*t^4.138 + t^4.221 + t^4.303 + 4*t^4.51 + t^4.676 + 5*t^4.883 + 2*t^5.173 + 4*t^5.255 + 3*t^5.545 + 2*t^5.628 + 2*t^5.835 + 4*t^5.917 - 2*t^6. - t^4.407/y - t^4.407*y | detail |