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 |
---|---|---|---|---|---|---|---|---|---|
2307 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6895 | 0.8748 | 0.7882 | [M:[0.6875, 1.3043, 0.6997, 0.6997, 0.6916, 1.3003, 0.6997, 0.6916], q:[0.8322, 0.82], qb:[0.4803, 0.4762], phi:[0.3478]] | [M:[[-8, 4], [2, 2], [1, -5], [1, -5], [-5, 1], [-1, 5], [1, -5], [-5, 1]], q:[[5, -4], [-4, 5]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.063 + 2*t^2.075 + 2*t^2.099 + t^2.87 + t^3.889 + 2*t^3.913 + t^4.125 + 2*t^4.137 + 3*t^4.149 + 2*t^4.162 + 4*t^4.174 + 3*t^4.198 + t^4.932 + 2*t^4.944 + t^4.957 + 2*t^4.969 + t^5.739 + t^5.951 + 2*t^5.963 + t^5.976 + 4*t^5.988 - 3*t^6. + 2*t^6.012 - t^6.024 + t^6.188 + 2*t^6.2 + 3*t^6.212 + 6*t^6.224 + 4*t^6.236 + 6*t^6.249 + 3*t^6.261 + 6*t^6.273 + 4*t^6.298 + t^6.758 + 2*t^6.783 + t^6.995 + 2*t^7.007 + 3*t^7.019 + 2*t^7.031 + 2*t^7.043 + 2*t^7.068 + t^7.777 + 2*t^7.802 + t^7.826 - t^7.851 + t^8.014 + 2*t^8.026 + 4*t^8.038 + 2*t^8.05 + 3*t^8.063 - 6*t^8.075 + 3*t^8.087 - 8*t^8.099 + 2*t^8.111 - 2*t^8.124 + t^8.25 + 2*t^8.262 + 3*t^8.275 + 6*t^8.287 + 9*t^8.299 + 6*t^8.311 + 11*t^8.323 + 6*t^8.336 + 9*t^8.348 + 4*t^8.36 + 8*t^8.372 + 5*t^8.397 + t^8.609 + t^8.821 + 2*t^8.833 + t^8.845 + 2*t^8.857 - 3*t^8.87 - 2*t^8.894 - t^4.043/y - t^6.106/y - (2*t^6.118)/y - (2*t^6.143)/y + (2*t^7.137)/y + t^7.149/y + (2*t^7.162)/y + (4*t^7.174)/y + t^7.198/y + t^7.932/y + (4*t^7.944)/y + (4*t^7.969)/y + t^7.981/y - t^8.169/y - (2*t^8.181)/y - (3*t^8.193)/y - (2*t^8.205)/y - (4*t^8.217)/y - (3*t^8.242)/y + t^8.951/y + (2*t^8.963)/y + (2*t^8.976)/y + (6*t^8.988)/y - t^4.043*y - t^6.106*y - 2*t^6.118*y - 2*t^6.143*y + 2*t^7.137*y + t^7.149*y + 2*t^7.162*y + 4*t^7.174*y + t^7.198*y + t^7.932*y + 4*t^7.944*y + 4*t^7.969*y + t^7.981*y - t^8.169*y - 2*t^8.181*y - 3*t^8.193*y - 2*t^8.205*y - 4*t^8.217*y - 3*t^8.242*y + t^8.951*y + 2*t^8.963*y + 2*t^8.976*y + 6*t^8.988*y | (g2^4*t^2.063)/g1^8 + (2*g2*t^2.075)/g1^5 + (2*g1*t^2.099)/g2^5 + g1^3*g2^3*t^2.87 + (g2^8*t^3.889)/g1^4 + 2*g1^2*g2^2*t^3.913 + (g2^8*t^4.125)/g1^16 + (2*g2^5*t^4.137)/g1^13 + (3*g2^2*t^4.149)/g1^10 + (2*t^4.162)/(g1^7*g2) + (4*t^4.174)/(g1^4*g2^4) + (3*g1^2*t^4.198)/g2^10 + (g2^7*t^4.932)/g1^5 + (2*g2^4*t^4.944)/g1^2 + g1*g2*t^4.957 + (2*g1^4*t^4.969)/g2^2 + g1^6*g2^6*t^5.739 + (g2^12*t^5.951)/g1^12 + (2*g2^9*t^5.963)/g1^9 + (g2^6*t^5.976)/g1^6 + (4*g2^3*t^5.988)/g1^3 - 3*t^6. + (2*g1^3*t^6.012)/g2^3 - (g1^6*t^6.024)/g2^6 + (g2^12*t^6.188)/g1^24 + (2*g2^9*t^6.2)/g1^21 + (3*g2^6*t^6.212)/g1^18 + (6*g2^3*t^6.224)/g1^15 + (4*t^6.236)/g1^12 + (6*t^6.249)/(g1^9*g2^3) + (3*t^6.261)/(g1^6*g2^6) + (6*t^6.273)/(g1^3*g2^9) + (4*g1^3*t^6.298)/g2^15 + (g2^11*t^6.758)/g1 + 2*g1^5*g2^5*t^6.783 + (g2^11*t^6.995)/g1^13 + (2*g2^8*t^7.007)/g1^10 + (3*g2^5*t^7.019)/g1^7 + (2*g2^2*t^7.031)/g1^4 + (2*t^7.043)/(g1*g2) + (2*g1^5*t^7.068)/g2^7 + (g2^16*t^7.777)/g1^8 + (2*g2^10*t^7.802)/g1^2 + g1^4*g2^4*t^7.826 - (g1^10*t^7.851)/g2^2 + (g2^16*t^8.014)/g1^20 + (2*g2^13*t^8.026)/g1^17 + (4*g2^10*t^8.038)/g1^14 + (2*g2^7*t^8.05)/g1^11 + (3*g2^4*t^8.063)/g1^8 - (6*g2*t^8.075)/g1^5 + (3*t^8.087)/(g1^2*g2^2) - (8*g1*t^8.099)/g2^5 + (2*g1^4*t^8.111)/g2^8 - (2*g1^7*t^8.124)/g2^11 + (g2^16*t^8.25)/g1^32 + (2*g2^13*t^8.262)/g1^29 + (3*g2^10*t^8.275)/g1^26 + (6*g2^7*t^8.287)/g1^23 + (9*g2^4*t^8.299)/g1^20 + (6*g2*t^8.311)/g1^17 + (11*t^8.323)/(g1^14*g2^2) + (6*t^8.336)/(g1^11*g2^5) + (9*t^8.348)/(g1^8*g2^8) + (4*t^8.36)/(g1^5*g2^11) + (8*t^8.372)/(g1^2*g2^14) + (5*g1^4*t^8.397)/g2^20 + g1^9*g2^9*t^8.609 + (g2^15*t^8.821)/g1^9 + (2*g2^12*t^8.833)/g1^6 + (g2^9*t^8.845)/g1^3 + 2*g2^6*t^8.857 - 3*g1^3*g2^3*t^8.87 - (2*g1^9*t^8.894)/g2^3 - t^4.043/(g1*g2*y) - (g2^3*t^6.106)/(g1^9*y) - (2*t^6.118)/(g1^6*y) - (2*t^6.143)/(g2^6*y) + (2*g2^5*t^7.137)/(g1^13*y) + (g2^2*t^7.149)/(g1^10*y) + (2*t^7.162)/(g1^7*g2*y) + (4*t^7.174)/(g1^4*g2^4*y) + (g1^2*t^7.198)/(g2^10*y) + (g2^7*t^7.932)/(g1^5*y) + (4*g2^4*t^7.944)/(g1^2*y) + (4*g1^4*t^7.969)/(g2^2*y) + (g1^7*t^7.981)/(g2^5*y) - (g2^7*t^8.169)/(g1^17*y) - (2*g2^4*t^8.181)/(g1^14*y) - (3*g2*t^8.193)/(g1^11*y) - (2*t^8.205)/(g1^8*g2^2*y) - (4*t^8.217)/(g1^5*g2^5*y) - (3*g1*t^8.242)/(g2^11*y) + (g2^12*t^8.951)/(g1^12*y) + (2*g2^9*t^8.963)/(g1^9*y) + (2*g2^6*t^8.976)/(g1^6*y) + (6*g2^3*t^8.988)/(g1^3*y) - (t^4.043*y)/(g1*g2) - (g2^3*t^6.106*y)/g1^9 - (2*t^6.118*y)/g1^6 - (2*t^6.143*y)/g2^6 + (2*g2^5*t^7.137*y)/g1^13 + (g2^2*t^7.149*y)/g1^10 + (2*t^7.162*y)/(g1^7*g2) + (4*t^7.174*y)/(g1^4*g2^4) + (g1^2*t^7.198*y)/g2^10 + (g2^7*t^7.932*y)/g1^5 + (4*g2^4*t^7.944*y)/g1^2 + (4*g1^4*t^7.969*y)/g2^2 + (g1^7*t^7.981*y)/g2^5 - (g2^7*t^8.169*y)/g1^17 - (2*g2^4*t^8.181*y)/g1^14 - (3*g2*t^8.193*y)/g1^11 - (2*t^8.205*y)/(g1^8*g2^2) - (4*t^8.217*y)/(g1^5*g2^5) - (3*g1*t^8.242*y)/g2^11 + (g2^12*t^8.951*y)/g1^12 + (2*g2^9*t^8.963*y)/g1^9 + (2*g2^6*t^8.976*y)/g1^6 + (6*g2^3*t^8.988*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1239 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ | 0.6689 | 0.8347 | 0.8013 | [M:[0.6937, 1.3015, 0.7009, 0.7009, 0.6961, 1.2991, 0.7009], q:[0.829, 0.8218], qb:[0.4773, 0.4749], phi:[0.3493]] | t^2.081 + t^2.088 + 2*t^2.103 + t^2.857 + t^3.89 + 2*t^3.904 + t^3.912 + t^4.162 + t^4.169 + t^4.177 + 2*t^4.184 + 2*t^4.191 + 3*t^4.205 + t^4.938 + t^4.945 + t^4.952 + 2*t^4.959 + t^5.713 + t^5.971 + t^5.978 + t^5.986 + 3*t^5.993 - 2*t^6. - t^4.048/y - t^4.048*y | detail |