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 |
---|---|---|---|---|---|---|---|---|---|
245 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6486 | 0.7977 | 0.8132 | [M:[0.6962, 0.7272, 0.6859, 1.2728], q:[0.8234, 0.8234], qb:[0.4804, 0.4598], phi:[0.3533]] | [M:[[-7, -1], [2, -10], [-10, 2], [-2, 10]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.058 + t^2.089 + t^2.12 + t^2.821 + t^3.819 + 2*t^3.849 + t^3.88 + t^3.911 + t^4.115 + t^4.146 + 2*t^4.177 + t^4.208 + t^4.239 + t^4.878 + t^4.909 + 2*t^4.94 + t^5.641 + t^5.876 + 3*t^5.907 + 3*t^5.938 + 2*t^5.969 - t^6. - t^6.031 - t^6.062 + t^6.173 + t^6.204 + 2*t^6.235 + 2*t^6.266 + 2*t^6.297 + t^6.328 + t^6.359 + t^6.639 + 2*t^6.67 + t^6.701 + t^6.732 + t^6.936 + t^6.967 + 2*t^6.998 - 2*t^7.091 - t^7.122 + t^7.637 + 2*t^7.668 + 4*t^7.699 + 2*t^7.73 + 2*t^7.761 - t^7.792 + t^7.934 + 3*t^7.965 + 4*t^7.996 + 4*t^8.027 - 2*t^8.089 - 3*t^8.12 - 2*t^8.151 - t^8.181 + t^8.231 + t^8.262 + 2*t^8.293 + 2*t^8.324 + 3*t^8.355 + 2*t^8.386 + 2*t^8.416 + t^8.447 + t^8.462 + t^8.478 + t^8.697 + 3*t^8.728 + 3*t^8.759 + 2*t^8.79 - 2*t^8.821 - 2*t^8.852 - 2*t^8.883 + t^8.994 - t^4.06/y - t^6.117/y - t^6.148/y - t^6.179/y + t^7.146/y + t^7.177/y + t^7.208/y + t^7.878/y + t^7.909/y + (2*t^7.94)/y + t^7.971/y + t^8.002/y - t^8.175/y - t^8.206/y - (2*t^8.237)/y - t^8.268/y - t^8.299/y + t^8.876/y + (3*t^8.907)/y + (4*t^8.938)/y + (4*t^8.969)/y - t^4.06*y - t^6.117*y - t^6.148*y - t^6.179*y + t^7.146*y + t^7.177*y + t^7.208*y + t^7.878*y + t^7.909*y + 2*t^7.94*y + t^7.971*y + t^8.002*y - t^8.175*y - t^8.206*y - 2*t^8.237*y - t^8.268*y - t^8.299*y + t^8.876*y + 3*t^8.907*y + 4*t^8.938*y + 4*t^8.969*y | (g2^2*t^2.058)/g1^10 + t^2.089/(g1^7*g2) + t^2.12/(g1^4*g2^4) + g1^6*g2^6*t^2.821 + (g2^10*t^3.819)/g1^2 + 2*g1*g2^7*t^3.849 + g1^4*g2^4*t^3.88 + g1^7*g2*t^3.911 + (g2^4*t^4.115)/g1^20 + (g2*t^4.146)/g1^17 + (2*t^4.177)/(g1^14*g2^2) + t^4.208/(g1^11*g2^5) + t^4.239/(g1^8*g2^8) + (g2^8*t^4.878)/g1^4 + (g2^5*t^4.909)/g1 + 2*g1^2*g2^2*t^4.94 + g1^12*g2^12*t^5.641 + (g2^12*t^5.876)/g1^12 + (3*g2^9*t^5.907)/g1^9 + (3*g2^6*t^5.938)/g1^6 + (2*g2^3*t^5.969)/g1^3 - t^6. - (g1^3*t^6.031)/g2^3 - (g1^6*t^6.062)/g2^6 + (g2^6*t^6.173)/g1^30 + (g2^3*t^6.204)/g1^27 + (2*t^6.235)/g1^24 + (2*t^6.266)/(g1^21*g2^3) + (2*t^6.297)/(g1^18*g2^6) + t^6.328/(g1^15*g2^9) + t^6.359/(g1^12*g2^12) + g1^4*g2^16*t^6.639 + 2*g1^7*g2^13*t^6.67 + g1^10*g2^10*t^6.701 + g1^13*g2^7*t^6.732 + (g2^10*t^6.936)/g1^14 + (g2^7*t^6.967)/g1^11 + (2*g2^4*t^6.998)/g1^8 - (2*g1*t^7.091)/g2^5 - (g1^4*t^7.122)/g2^8 + (g2^20*t^7.637)/g1^4 + (2*g2^17*t^7.668)/g1 + 4*g1^2*g2^14*t^7.699 + 2*g1^5*g2^11*t^7.73 + 2*g1^8*g2^8*t^7.761 - g1^11*g2^5*t^7.792 + (g2^14*t^7.934)/g1^22 + (3*g2^11*t^7.965)/g1^19 + (4*g2^8*t^7.996)/g1^16 + (4*g2^5*t^8.027)/g1^13 - (2*t^8.089)/(g1^7*g2) - (3*t^8.12)/(g1^4*g2^4) - (2*t^8.151)/(g1*g2^7) - (g1^2*t^8.181)/g2^10 + (g2^8*t^8.231)/g1^40 + (g2^5*t^8.262)/g1^37 + (2*g2^2*t^8.293)/g1^34 + (2*t^8.324)/(g1^31*g2) + (3*t^8.355)/(g1^28*g2^4) + (2*t^8.386)/(g1^25*g2^7) + (2*t^8.416)/(g1^22*g2^10) + t^8.447/(g1^19*g2^13) + g1^18*g2^18*t^8.462 + t^8.478/(g1^16*g2^16) + (g2^18*t^8.697)/g1^6 + (3*g2^15*t^8.728)/g1^3 + 3*g2^12*t^8.759 + 2*g1^3*g2^9*t^8.79 - 2*g1^6*g2^6*t^8.821 - 2*g1^9*g2^3*t^8.852 - 2*g1^12*t^8.883 + (g2^12*t^8.994)/g1^24 - t^4.06/(g1^2*g2^2*y) - t^6.117/(g1^12*y) - t^6.148/(g1^9*g2^3*y) - t^6.179/(g1^6*g2^6*y) + (g2*t^7.146)/(g1^17*y) + t^7.177/(g1^14*g2^2*y) + t^7.208/(g1^11*g2^5*y) + (g2^8*t^7.878)/(g1^4*y) + (g2^5*t^7.909)/(g1*y) + (2*g1^2*g2^2*t^7.94)/y + (g1^5*t^7.971)/(g2*y) + (g1^8*t^8.002)/(g2^4*y) - (g2^2*t^8.175)/(g1^22*y) - t^8.206/(g1^19*g2*y) - (2*t^8.237)/(g1^16*g2^4*y) - t^8.268/(g1^13*g2^7*y) - t^8.299/(g1^10*g2^10*y) + (g2^12*t^8.876)/(g1^12*y) + (3*g2^9*t^8.907)/(g1^9*y) + (4*g2^6*t^8.938)/(g1^6*y) + (4*g2^3*t^8.969)/(g1^3*y) - (t^4.06*y)/(g1^2*g2^2) - (t^6.117*y)/g1^12 - (t^6.148*y)/(g1^9*g2^3) - (t^6.179*y)/(g1^6*g2^6) + (g2*t^7.146*y)/g1^17 + (t^7.177*y)/(g1^14*g2^2) + (t^7.208*y)/(g1^11*g2^5) + (g2^8*t^7.878*y)/g1^4 + (g2^5*t^7.909*y)/g1 + 2*g1^2*g2^2*t^7.94*y + (g1^5*t^7.971*y)/g2 + (g1^8*t^8.002*y)/g2^4 - (g2^2*t^8.175*y)/g1^22 - (t^8.206*y)/(g1^19*g2) - (2*t^8.237*y)/(g1^16*g2^4) - (t^8.268*y)/(g1^13*g2^7) - (t^8.299*y)/(g1^10*g2^10) + (g2^12*t^8.876*y)/g1^12 + (3*g2^9*t^8.907*y)/g1^9 + (4*g2^6*t^8.938*y)/g1^6 + (4*g2^3*t^8.969*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 |
---|---|---|---|---|---|---|---|---|
1755 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6693 | 0.8377 | 0.7989 | [M:[0.6919, 0.7273, 0.6801, 1.2727, 0.6919], q:[0.8241, 0.8241], qb:[0.4841, 0.4605], phi:[0.3518]] | t^2.04 + 2*t^2.076 + t^2.111 + t^2.834 + t^3.818 + 2*t^3.854 + t^3.889 + t^4.08 + 2*t^4.116 + 4*t^4.151 + 2*t^4.187 + t^4.222 + t^4.874 + 2*t^4.909 + 2*t^4.945 + t^5.667 + t^5.858 + 4*t^5.894 + 5*t^5.929 + 2*t^5.965 - 2*t^6. - t^4.055/y - t^4.055*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 |
---|---|---|---|---|---|---|---|---|---|
151 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6689 | 0.8347 | 0.8014 | [M:[0.6964, 0.7027, 0.6943], q:[0.8254, 0.8254], qb:[0.4782, 0.4741], phi:[0.3492]] | 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^4.048/y - t^4.048*y | detail |