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 |
---|---|---|---|---|---|---|---|---|---|
52654 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6182 | 0.8027 | 0.7701 | [M:[0.9527, 0.8073, 0.8582, 1.1418, 1.1418, 0.7636], q:[0.7382, 0.3091], qb:[0.4545, 0.4037], phi:[0.5236]] | [M:[[-4], [26], [-12], [12], [12], [-20]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.138 + 2*t^2.291 + t^2.422 + t^2.858 + t^3.142 + 3*t^3.426 + t^3.862 + t^3.993 + t^4.145 + t^4.277 + t^4.298 + 2*t^4.429 + t^4.56 + 3*t^4.582 + 2*t^4.713 + t^4.844 + t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 3*t^5.564 + 5*t^5.716 + 2*t^5.848 - 2*t^6. + t^6.131 + t^6.152 + 4*t^6.284 + 2*t^6.415 + t^6.436 + 4*t^6.567 + 2*t^6.589 + t^6.699 + 3*t^6.72 + 6*t^6.851 + 4*t^6.872 + t^6.982 + 2*t^7.004 + 2*t^7.135 + t^7.266 + 2*t^7.287 + 3*t^7.418 + 3*t^7.44 + 2*t^7.571 + 4*t^7.702 + 4*t^7.723 + 3*t^7.855 + 3*t^7.986 + 5*t^8.007 + 2*t^8.138 + t^8.16 + 3*t^8.27 - 4*t^8.291 + 2*t^8.443 + 2*t^8.553 + 4*t^8.574 + t^8.596 + 5*t^8.706 + t^8.727 + 2*t^8.837 + t^8.858 + 3*t^8.879 + 5*t^8.989 - t^4.571/y - t^6.862/y - t^6.993/y + t^7.145/y + (2*t^7.429)/y + t^7.56/y + t^7.582/y + (2*t^7.713)/y + (3*t^8.149)/y + (3*t^8.28)/y + (2*t^8.433)/y + (4*t^8.564)/y + (6*t^8.716)/y + (3*t^8.848)/y - t^4.571*y - t^6.862*y - t^6.993*y + t^7.145*y + 2*t^7.429*y + t^7.56*y + t^7.582*y + 2*t^7.713*y + 3*t^8.149*y + 3*t^8.28*y + 2*t^8.433*y + 4*t^8.564*y + 6*t^8.716*y + 3*t^8.848*y | g1^18*t^2.138 + (2*t^2.291)/g1^20 + g1^26*t^2.422 + t^2.858/g1^4 + g1^4*t^3.142 + 3*g1^12*t^3.426 + t^3.862/g1^18 + g1^28*t^3.993 + t^4.145/g1^10 + g1^36*t^4.277 + t^4.298/g1^48 + (2*t^4.429)/g1^2 + g1^44*t^4.56 + (3*t^4.582)/g1^40 + 2*g1^6*t^4.713 + g1^52*t^4.844 + g1^14*t^4.996 + (2*t^5.149)/g1^24 + 2*g1^22*t^5.28 + (2*t^5.433)/g1^16 + 3*g1^30*t^5.564 + (5*t^5.716)/g1^8 + 2*g1^38*t^5.848 - 2*t^6. + g1^46*t^6.131 + t^6.152/g1^38 + 4*g1^8*t^6.284 + 2*g1^54*t^6.415 + t^6.436/g1^30 + 4*g1^16*t^6.567 + (2*t^6.589)/g1^68 + g1^62*t^6.699 + (3*t^6.72)/g1^22 + 6*g1^24*t^6.851 + (4*t^6.872)/g1^60 + g1^70*t^6.982 + (2*t^7.004)/g1^14 + 2*g1^32*t^7.135 + g1^78*t^7.266 + (2*t^7.287)/g1^6 + 3*g1^40*t^7.418 + (3*t^7.44)/g1^44 + 2*g1^2*t^7.571 + 4*g1^48*t^7.702 + (4*t^7.723)/g1^36 + 3*g1^10*t^7.855 + 3*g1^56*t^7.986 + (5*t^8.007)/g1^28 + 2*g1^18*t^8.138 + t^8.16/g1^66 + 3*g1^64*t^8.27 - (4*t^8.291)/g1^20 + (2*t^8.443)/g1^58 + 2*g1^72*t^8.553 + (4*t^8.574)/g1^12 + t^8.596/g1^96 + 5*g1^34*t^8.706 + t^8.727/g1^50 + 2*g1^80*t^8.837 + t^8.858/g1^4 + (3*t^8.879)/g1^88 + 5*g1^42*t^8.989 - (g1^2*t^4.571)/y - t^6.862/(g1^18*y) - (g1^28*t^6.993)/y + t^7.145/(g1^10*y) + (2*t^7.429)/(g1^2*y) + (g1^44*t^7.56)/y + t^7.582/(g1^40*y) + (2*g1^6*t^7.713)/y + (3*t^8.149)/(g1^24*y) + (3*g1^22*t^8.28)/y + (2*t^8.433)/(g1^16*y) + (4*g1^30*t^8.564)/y + (6*t^8.716)/(g1^8*y) + (3*g1^38*t^8.848)/y - g1^2*t^4.571*y - (t^6.862*y)/g1^18 - g1^28*t^6.993*y + (t^7.145*y)/g1^10 + (2*t^7.429*y)/g1^2 + g1^44*t^7.56*y + (t^7.582*y)/g1^40 + 2*g1^6*t^7.713*y + (3*t^8.149*y)/g1^24 + 3*g1^22*t^8.28*y + (2*t^8.433*y)/g1^16 + 4*g1^30*t^8.564*y + (6*t^8.716*y)/g1^8 + 3*g1^38*t^8.848*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 |
---|---|---|---|---|---|---|---|---|
56451 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.6138 | 0.7955 | 0.7716 | [M:[0.9535, 0.8023, 0.8605, 1.1395, 1.1395, 0.7675, 1.0465], q:[0.7384, 0.3081], qb:[0.4593, 0.4012], phi:[0.5233]] | t^2.128 + 2*t^2.302 + t^2.407 + 2*t^3.14 + 3*t^3.419 + t^3.872 + t^3.977 + t^4.151 + t^4.256 + t^4.326 + 2*t^4.43 + t^4.535 + 3*t^4.605 + 2*t^4.709 + t^4.814 + 2*t^5.267 + 4*t^5.442 + 4*t^5.546 + 4*t^5.721 + 2*t^5.826 - 3*t^6. - t^4.57/y - t^4.57*y | detail | |
56452 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6385 | 0.8413 | 0.759 | [M:[0.9536, 0.8019, 0.8607, 1.1393, 1.1393, 0.7678, 0.709], q:[0.7384, 0.308], qb:[0.4598, 0.4009], phi:[0.5232]] | 2*t^2.127 + 2*t^2.303 + t^2.406 + t^2.861 + t^3.139 + 3*t^3.418 + t^3.975 + t^4.152 + 3*t^4.254 + t^4.328 + 4*t^4.43 + 2*t^4.532 + 3*t^4.607 + 2*t^4.709 + t^4.811 + 2*t^4.988 + 2*t^5.164 + 3*t^5.266 + 2*t^5.443 + 6*t^5.545 + 5*t^5.721 + 2*t^5.824 - 3*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
47262 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.6 | 0.7706 | 0.7786 | [M:[0.9549, 0.7934, 0.8646, 1.1354, 1.1354], q:[0.7387, 0.3064], qb:[0.4679, 0.3967], phi:[0.5226]] | t^2.109 + t^2.323 + t^2.38 + t^2.865 + t^3.135 + 3*t^3.406 + t^3.677 + t^3.891 + t^3.948 + t^4.161 + t^4.219 + t^4.375 + t^4.432 + t^4.49 + t^4.646 + t^4.703 + t^4.761 + t^4.974 + t^5.187 + 2*t^5.245 + t^5.458 + 3*t^5.516 + 2*t^5.729 + 3*t^5.787 - t^6. - t^4.568/y - t^4.568*y | detail |