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 |
---|---|---|---|---|---|---|---|---|---|
57462 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4434 | 1.6252 | 0.8882 | [X:[1.3517], M:[0.9823], q:[0.4603, 0.4957], qb:[0.522, 0.5769], phi:[0.3242]] | [X:[[0, 6]], M:[[-1, 11]], q:[[-1, 22], [1, 0]], qb:[[0, -11], [0, 7]], phi:[[0, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | t^2.92 + 2*t^2.95 + t^3.11 + t^3.22 + t^3.92 + t^4.03 + t^4.05 + t^4.08 + t^4.19 + t^4.89 + t^5. + t^5.06 + t^5.16 + t^5.22 + t^5.33 + t^5.84 + 2*t^5.86 + 2*t^5.89 - 3*t^6. + t^6.03 + 2*t^6.06 - t^6.11 + t^6.14 + t^6.16 + t^6.19 + t^6.22 + t^6.3 + t^6.33 + t^6.44 + t^6.84 + t^6.87 + t^6.94 + t^6.97 + 3*t^7. + 3*t^7.03 + t^7.06 - t^7.08 + t^7.11 + 2*t^7.14 + 2*t^7.17 + t^7.2 + t^7.24 + 2*t^7.27 + t^7.3 + t^7.38 + t^7.41 + t^7.62 + 2*t^7.84 + 2*t^7.95 + t^7.97 + 3*t^8. + t^8.08 + 4*t^8.11 + t^8.14 + 3*t^8.17 + t^8.22 + t^8.25 + 3*t^8.27 + t^8.33 + t^8.38 + 2*t^8.44 + t^8.55 - t^8.62 - t^8.72 + t^8.75 + t^8.78 + 3*t^8.81 + 2*t^8.84 - t^8.89 - 5*t^8.95 + 3*t^8.98 + t^8.92/y^2 - t^3.97/y - t^4.95/y - t^6.89/y - (2*t^6.92)/y - t^7.08/y - t^7.19/y - t^7.86/y - (2*t^7.89)/y - t^8.06/y - t^8.16/y + t^8.86/y + t^8.89/y - t^8.97/y - t^3.97*y - t^4.95*y - t^6.89*y - 2*t^6.92*y - t^7.08*y - t^7.19*y - t^7.86*y - 2*t^7.89*y - t^8.06*y - t^8.16*y + t^8.86*y + t^8.89*y - t^8.97*y + t^8.92*y^2 | t^2.92/g2^9 + (2*g2^11*t^2.95)/g1 + (g2^29*t^3.11)/g1 + g1*g2^7*t^3.22 + (g2^8*t^3.92)/g1 + (g1*t^4.03)/g2^14 + g2^6*t^4.05 + (g2^26*t^4.08)/g1 + g1*g2^4*t^4.19 + (g2^5*t^4.89)/g1 + (g1*t^5.)/g2^17 + (g2^23*t^5.06)/g1 + g1*g2*t^5.16 + (g2^41*t^5.22)/g1 + g1*g2^19*t^5.33 + t^5.84/g2^18 + (2*g2^2*t^5.86)/g1 + (2*g2^22*t^5.89)/g1^2 - 3*t^6. + (g2^20*t^6.03)/g1 + (2*g2^40*t^6.06)/g1^2 - (g1^2*t^6.11)/g2^22 + (g1*t^6.14)/g2^2 + g2^18*t^6.16 + (g2^38*t^6.19)/g1 + (g2^58*t^6.22)/g1^2 + g1*g2^16*t^6.3 + g2^36*t^6.33 + g1^2*g2^14*t^6.44 + t^6.84/(g1*g2) + (g2^19*t^6.87)/g1^2 + (g1*t^6.94)/g2^23 + t^6.97/g2^3 + (3*g2^17*t^7.)/g1 + (3*g2^37*t^7.03)/g1^2 + (g2^57*t^7.06)/g1^3 - (g1^2*t^7.08)/g2^25 + (g1*t^7.11)/g2^5 + 2*g2^15*t^7.14 + (2*g2^35*t^7.17)/g1 + (g2^55*t^7.2)/g1^2 + (g1^2*t^7.24)/g2^7 + 2*g1*g2^13*t^7.27 + g2^33*t^7.3 + (g1^3*t^7.38)/g2^9 + g1^2*g2^11*t^7.41 + t^7.62/g2^42 + (2*g2^16*t^7.84)/g1^2 + (2*t^7.95)/g2^6 + (g2^14*t^7.97)/g1 + (3*g2^34*t^8.)/g1^2 + (g1*t^8.08)/g2^8 + 4*g2^12*t^8.11 + (g2^32*t^8.14)/g1 + (3*g2^52*t^8.17)/g1^2 + (g1^2*t^8.22)/g2^10 + g1*g2^10*t^8.25 + 3*g2^30*t^8.27 + (g2^70*t^8.33)/g1^2 + g1^2*g2^8*t^8.38 + 2*g2^48*t^8.44 + g1^2*g2^26*t^8.55 - t^8.62/(g1*g2^25) - (g1*t^8.72)/g2^47 + t^8.75/g2^27 + t^8.78/(g1*g2^7) + (3*g2^13*t^8.81)/g1^2 + (2*g2^33*t^8.84)/g1^3 - (g1*t^8.89)/g2^29 - (5*g2^11*t^8.95)/g1 + (3*g2^31*t^8.98)/g1^2 + t^8.92/(g2^9*y^2) - t^3.97/(g2^3*y) - t^4.95/(g2^6*y) - t^6.89/(g2^12*y) - (2*g2^8*t^6.92)/(g1*y) - (g2^26*t^7.08)/(g1*y) - (g1*g2^4*t^7.19)/y - t^7.86/(g2^15*y) - (2*g2^5*t^7.89)/(g1*y) - (g2^23*t^8.06)/(g1*y) - (g1*g2*t^8.16)/y + (g2^2*t^8.86)/(g1*y) + (g2^22*t^8.89)/(g1^2*y) - (g1*t^8.97)/(g2^20*y) - (t^3.97*y)/g2^3 - (t^4.95*y)/g2^6 - (t^6.89*y)/g2^12 - (2*g2^8*t^6.92*y)/g1 - (g2^26*t^7.08*y)/g1 - g1*g2^4*t^7.19*y - (t^7.86*y)/g2^15 - (2*g2^5*t^7.89*y)/g1 - (g2^23*t^8.06*y)/g1 - g1*g2*t^8.16*y + (g2^2*t^8.86*y)/g1 + (g2^22*t^8.89*y)/g1^2 - (g1*t^8.97*y)/g2^20 + (t^8.92*y^2)/g2^9 |
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 |
---|---|---|---|---|---|---|---|---|
59361 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4412 | 1.6233 | 0.8878 | [X:[1.3471], M:[0.9826, 1.0206], q:[0.4522, 0.487], qb:[0.5304, 0.5716], phi:[0.3265]] | 2*t^2.95 + t^3.06 + t^3.07 + t^3.18 + t^3.93 + t^4.03 + t^4.04 + t^4.05 + t^4.16 + t^4.91 + t^5.01 + t^5.03 + t^5.13 + t^5.15 + t^5.26 + 2*t^5.9 - 3*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
59462 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0974 | 1.253 | 0.8758 | [X:[1.4718], M:[0.6795], q:[0.3778, 1.0188], qb:[0.3017, 0.7171], phi:[0.2641]] | 2*t^2.04 + t^2.38 + t^2.83 + t^3.28 + t^3.62 + 3*t^4.08 + 3*t^4.42 + 2*t^4.75 + 2*t^4.87 + t^5.09 + 2*t^5.21 + 2*t^5.32 + 3*t^5.66 + t^5.78 - 2*t^6. - t^3.79/y - t^4.58/y - (2*t^5.83)/y - t^3.79*y - t^4.58*y - 2*t^5.83*y | detail | |
59389 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.309 | 1.4555 | 0.8994 | [X:[1.4141], M:[1.1719], q:[0.7643, 0.4206], qb:[0.4075, 0.6497], phi:[0.293]] | t^2.64 + t^3.21 + t^3.36 + 2*t^3.52 + t^4.09 + 3*t^4.24 + t^4.39 + t^5.12 + 2*t^5.27 + t^5.7 - t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*y | detail | |
59026 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.339 | 1.5093 | 0.8872 | [X:[1.4094], M:[0.8188], q:[0.4027, 0.7651], qb:[0.4161, 0.6443], phi:[0.2953]] | 2*t^2.46 + t^2.66 + t^3.14 + t^3.34 + t^4.03 + 3*t^4.23 + t^4.43 + 3*t^4.91 + 3*t^5.11 + 2*t^5.32 + 3*t^5.6 + 2*t^5.8 - t^6. - t^3.89/y - t^4.77/y - t^3.89*y - t^4.77*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 |
---|---|---|---|---|---|---|---|---|---|
47912 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6233 | 0.8887 | [X:[1.3516], q:[0.4779, 0.4779], qb:[0.5221, 0.5768], phi:[0.3242]] | t^2.918 + 2*t^3. + 2*t^3.164 + 2*t^3.973 + t^4.055 + 2*t^4.137 + 2*t^4.945 + 2*t^5.109 + 2*t^5.273 + t^5.836 + 2*t^5.918 - 2*t^6. - t^3.973/y - t^4.945/y - t^3.973*y - t^4.945*y | detail |