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 |
---|---|---|---|---|---|---|---|---|---|
45957 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6689 | 0.8347 | 0.8014 | [M:[0.7027, 0.6964, 0.6943], q:[0.4751, 0.8222], qb:[0.8285, 0.4772], phi:[0.3492]] | [M:[[8, -8], [-1, -5], [-4, -4]], q:[[-3, 5], [-5, 3]], qb:[[4, 0], [0, 4]], phi:[[1, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.083 + t^2.089 + t^2.095 + t^2.108 + t^2.857 + 2*t^3.898 + t^3.905 + t^3.911 + t^4.166 + t^4.172 + 2*t^4.178 + t^4.185 + 2*t^4.191 + t^4.197 + t^4.203 + t^4.216 + t^4.94 + t^4.946 + 2*t^4.952 + t^4.965 + t^5.714 + 2*t^5.981 + 2*t^5.987 + 2*t^5.994 - t^6. + t^6.006 + t^6.019 + t^6.248 + t^6.255 + 2*t^6.261 + 2*t^6.267 + 3*t^6.274 + 2*t^6.28 + 3*t^6.286 + t^6.292 + 2*t^6.299 + t^6.305 + t^6.311 + t^6.324 + 2*t^6.755 + t^6.761 + t^6.768 + t^7.023 + t^7.029 + 2*t^7.035 + t^7.048 - t^7.054 + t^7.06 + t^7.073 + 3*t^7.797 + t^7.803 + 2*t^7.809 - t^7.815 + t^7.822 + 2*t^8.064 + 2*t^8.07 + 3*t^8.077 - t^8.083 - t^8.095 - 2*t^8.108 + t^8.114 + t^8.127 + t^8.331 + t^8.338 + 2*t^8.344 + 2*t^8.35 + 4*t^8.356 + 3*t^8.363 + 4*t^8.369 + 3*t^8.375 + 4*t^8.382 + 2*t^8.388 + 3*t^8.394 + t^8.4 + 2*t^8.407 + t^8.413 + t^8.419 + t^8.432 + t^8.571 + 2*t^8.838 + t^8.844 + 2*t^8.851 - 2*t^8.857 - t^8.869 + t^8.876 - t^4.048/y - t^6.131/y - t^6.137/y - t^6.143/y - t^6.156/y + t^7.172/y + t^7.178/y + t^7.185/y + t^7.191/y + t^7.197/y + t^7.203/y + (2*t^7.94)/y + t^7.946/y + (2*t^7.952)/y + t^7.959/y + (2*t^7.965)/y - t^8.213/y - t^8.22/y - (2*t^8.226)/y - t^8.232/y - (2*t^8.239)/y - t^8.245/y - t^8.251/y - t^8.264/y + (2*t^8.981)/y + (3*t^8.987)/y + (4*t^8.994)/y - t^4.048*y - t^6.131*y - t^6.137*y - t^6.143*y - t^6.156*y + t^7.172*y + t^7.178*y + t^7.185*y + t^7.191*y + t^7.197*y + t^7.203*y + 2*t^7.94*y + t^7.946*y + 2*t^7.952*y + t^7.959*y + 2*t^7.965*y - t^8.213*y - t^8.22*y - 2*t^8.226*y - t^8.232*y - 2*t^8.239*y - t^8.245*y - t^8.251*y - t^8.264*y + 2*t^8.981*y + 3*t^8.987*y + 4*t^8.994*y | t^2.083/(g1^4*g2^4) + t^2.089/(g1*g2^5) + (g1^2*t^2.095)/g2^6 + (g1^8*t^2.108)/g2^8 + (g2^9*t^2.857)/g1^3 + (2*g2^7*t^3.898)/g1^5 + (g2^6*t^3.905)/g1^2 + g1*g2^5*t^3.911 + t^4.166/(g1^8*g2^8) + t^4.172/(g1^5*g2^9) + (2*t^4.178)/(g1^2*g2^10) + (g1*t^4.185)/g2^11 + (2*g1^4*t^4.191)/g2^12 + (g1^7*t^4.197)/g2^13 + (g1^10*t^4.203)/g2^14 + (g1^16*t^4.216)/g2^16 + (g2^5*t^4.94)/g1^7 + (g2^4*t^4.946)/g1^4 + (2*g2^3*t^4.952)/g1 + g1^5*g2*t^4.965 + (g2^18*t^5.714)/g1^6 + (2*g2^3*t^5.981)/g1^9 + (2*g2^2*t^5.987)/g1^6 + (2*g2*t^5.994)/g1^3 - t^6. + (g1^3*t^6.006)/g2 + (g1^9*t^6.019)/g2^3 + t^6.248/(g1^12*g2^12) + t^6.255/(g1^9*g2^13) + (2*t^6.261)/(g1^6*g2^14) + (2*t^6.267)/(g1^3*g2^15) + (3*t^6.274)/g2^16 + (2*g1^3*t^6.28)/g2^17 + (3*g1^6*t^6.286)/g2^18 + (g1^9*t^6.292)/g2^19 + (2*g1^12*t^6.299)/g2^20 + (g1^15*t^6.305)/g2^21 + (g1^18*t^6.311)/g2^22 + (g1^24*t^6.324)/g2^24 + (2*g2^16*t^6.755)/g1^8 + (g2^15*t^6.761)/g1^5 + (g2^14*t^6.768)/g1^2 + (g2*t^7.023)/g1^11 + t^7.029/g1^8 + (2*t^7.035)/(g1^5*g2) + (g1*t^7.048)/g2^3 - (g1^4*t^7.054)/g2^4 + (g1^7*t^7.06)/g2^5 + (g1^13*t^7.073)/g2^7 + (3*g2^14*t^7.797)/g1^10 + (g2^13*t^7.803)/g1^7 + (2*g2^12*t^7.809)/g1^4 - (g2^11*t^7.815)/g1 + g1^2*g2^10*t^7.822 + (2*t^8.064)/(g1^13*g2) + (2*t^8.07)/(g1^10*g2^2) + (3*t^8.077)/(g1^7*g2^3) - t^8.083/(g1^4*g2^4) - (g1^2*t^8.095)/g2^6 - (2*g1^8*t^8.108)/g2^8 + (g1^11*t^8.114)/g2^9 + (g1^17*t^8.127)/g2^11 + t^8.331/(g1^16*g2^16) + t^8.338/(g1^13*g2^17) + (2*t^8.344)/(g1^10*g2^18) + (2*t^8.35)/(g1^7*g2^19) + (4*t^8.356)/(g1^4*g2^20) + (3*t^8.363)/(g1*g2^21) + (4*g1^2*t^8.369)/g2^22 + (3*g1^5*t^8.375)/g2^23 + (4*g1^8*t^8.382)/g2^24 + (2*g1^11*t^8.388)/g2^25 + (3*g1^14*t^8.394)/g2^26 + (g1^17*t^8.4)/g2^27 + (2*g1^20*t^8.407)/g2^28 + (g1^23*t^8.413)/g2^29 + (g1^26*t^8.419)/g2^30 + (g1^32*t^8.432)/g2^32 + (g2^27*t^8.571)/g1^9 + (2*g2^12*t^8.838)/g1^12 + (g2^11*t^8.844)/g1^9 + (2*g2^10*t^8.851)/g1^6 - (2*g2^9*t^8.857)/g1^3 - g1^3*g2^7*t^8.869 + g1^6*g2^6*t^8.876 - (g1*t^4.048)/(g2^3*y) - t^6.131/(g1^3*g2^7*y) - t^6.137/(g2^8*y) - (g1^3*t^6.143)/(g2^9*y) - (g1^9*t^6.156)/(g2^11*y) + t^7.172/(g1^5*g2^9*y) + t^7.178/(g1^2*g2^10*y) + (g1*t^7.185)/(g2^11*y) + (g1^4*t^7.191)/(g2^12*y) + (g1^7*t^7.197)/(g2^13*y) + (g1^10*t^7.203)/(g2^14*y) + (2*g2^5*t^7.94)/(g1^7*y) + (g2^4*t^7.946)/(g1^4*y) + (2*g2^3*t^7.952)/(g1*y) + (g1^2*g2^2*t^7.959)/y + (2*g1^5*g2*t^7.965)/y - t^8.213/(g1^7*g2^11*y) - t^8.22/(g1^4*g2^12*y) - (2*t^8.226)/(g1*g2^13*y) - (g1^2*t^8.232)/(g2^14*y) - (2*g1^5*t^8.239)/(g2^15*y) - (g1^8*t^8.245)/(g2^16*y) - (g1^11*t^8.251)/(g2^17*y) - (g1^17*t^8.264)/(g2^19*y) + (2*g2^3*t^8.981)/(g1^9*y) + (3*g2^2*t^8.987)/(g1^6*y) + (4*g2*t^8.994)/(g1^3*y) - (g1*t^4.048*y)/g2^3 - (t^6.131*y)/(g1^3*g2^7) - (t^6.137*y)/g2^8 - (g1^3*t^6.143*y)/g2^9 - (g1^9*t^6.156*y)/g2^11 + (t^7.172*y)/(g1^5*g2^9) + (t^7.178*y)/(g1^2*g2^10) + (g1*t^7.185*y)/g2^11 + (g1^4*t^7.191*y)/g2^12 + (g1^7*t^7.197*y)/g2^13 + (g1^10*t^7.203*y)/g2^14 + (2*g2^5*t^7.94*y)/g1^7 + (g2^4*t^7.946*y)/g1^4 + (2*g2^3*t^7.952*y)/g1 + g1^2*g2^2*t^7.959*y + 2*g1^5*g2*t^7.965*y - (t^8.213*y)/(g1^7*g2^11) - (t^8.22*y)/(g1^4*g2^12) - (2*t^8.226*y)/(g1*g2^13) - (g1^2*t^8.232*y)/g2^14 - (2*g1^5*t^8.239*y)/g2^15 - (g1^8*t^8.245*y)/g2^16 - (g1^11*t^8.251*y)/g2^17 - (g1^17*t^8.264*y)/g2^19 + (2*g2^3*t^8.981*y)/g1^9 + (3*g2^2*t^8.987*y)/g1^6 + (4*g2*t^8.994*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
46156 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6484 | 0.7955 | 0.8151 | [M:[0.7076, 0.7005, 0.6981, 1.2971], q:[0.4717, 0.8207], qb:[0.8279, 0.474], phi:[0.3514]] | t^2.094 + t^2.101 + t^2.123 + t^2.837 + 2*t^3.884 + 2*t^3.891 + t^3.899 + t^4.189 + t^4.196 + t^4.203 + t^4.217 + t^4.224 + t^4.246 + t^4.931 + t^4.939 + t^4.946 + t^4.96 + t^5.674 + 2*t^5.979 + 3*t^5.986 + t^5.993 - 2*t^6. - t^4.054/y - t^4.054*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 |
---|---|---|---|---|---|---|---|---|---|
45927 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6484 | 0.7955 | 0.815 | [M:[0.6966, 0.7061], q:[0.4744, 0.829], qb:[0.8195, 0.4712], phi:[0.3515]] | t^2.09 + t^2.109 + t^2.118 + t^2.837 + t^3.872 + t^3.882 + t^3.891 + 2*t^3.901 + t^4.18 + t^4.199 + t^4.208 + t^4.218 + t^4.227 + t^4.237 + t^4.927 + 2*t^4.946 + t^4.955 + t^5.673 + t^5.962 + t^5.971 + t^5.981 + 2*t^5.99 - t^6. - t^4.054/y - t^4.054*y | detail |