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 |
---|---|---|---|---|---|---|---|---|---|
46208 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6616 | 0.8084 | 0.8184 | [M:[1.1009, 0.6974, 1.1009], q:[0.4726, 0.4265], qb:[0.7752, 0.5274], phi:[0.4496]] | [M:[[4], [-12], [4]], q:[[-11], [7]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}q_{2}^{2}$ | -1 | t^2.092 + t^2.862 + t^3. + 2*t^3.303 + t^3.605 + t^3.744 + t^3.908 + t^4.046 + 2*t^4.185 + t^4.21 + t^4.349 + t^4.513 + t^4.954 + t^5.092 + 2*t^5.395 + t^5.723 - t^6. + t^6.164 + 2*t^6.277 + t^6.303 + t^6.467 + 4*t^6.605 + t^6.769 + 2*t^6.908 + 2*t^7.046 + t^7.072 + t^7.185 + 2*t^7.21 + t^7.349 + t^7.374 + 3*t^7.487 + 2*t^7.513 + t^7.651 + t^7.79 + 3*t^7.815 + t^7.928 + t^7.954 + t^8.118 + t^8.231 + t^8.256 + 3*t^8.369 + t^8.395 + t^8.421 + t^8.533 + t^8.585 + 3*t^8.697 + t^8.723 - t^8.862 - t^4.349/y - t^6.441/y + t^7.046/y - t^7.651/y + t^7.954/y + t^8.092/y + t^8.256/y + (2*t^8.395)/y - t^8.533/y + t^8.697/y + t^8.836/y + t^8.862/y - t^4.349*y - t^6.441*y + t^7.046*y - t^7.651*y + t^7.954*y + t^8.092*y + t^8.256*y + 2*t^8.395*y - t^8.533*y + t^8.697*y + t^8.836*y + t^8.862*y | t^2.092/g1^12 + g1^18*t^2.862 + t^3. + 2*g1^4*t^3.303 + g1^8*t^3.605 + t^3.744/g1^10 + g1^12*t^3.908 + t^4.046/g1^6 + (2*t^4.185)/g1^24 + g1^16*t^4.21 + t^4.349/g1^2 + g1^20*t^4.513 + g1^6*t^4.954 + t^5.092/g1^12 + (2*t^5.395)/g1^8 + g1^36*t^5.723 - t^6. + g1^22*t^6.164 + (2*t^6.277)/g1^36 + g1^4*t^6.303 + g1^26*t^6.467 + 4*g1^8*t^6.605 + g1^30*t^6.769 + 2*g1^12*t^6.908 + (2*t^7.046)/g1^6 + g1^34*t^7.072 + t^7.185/g1^24 + 2*g1^16*t^7.21 + t^7.349/g1^2 + g1^38*t^7.374 + (3*t^7.487)/g1^20 + 2*g1^20*t^7.513 + g1^2*t^7.651 + t^7.79/g1^16 + 3*g1^24*t^7.815 + t^7.928/g1^34 + g1^6*t^7.954 + g1^28*t^8.118 + t^8.231/g1^30 + g1^10*t^8.256 + (3*t^8.369)/g1^48 + t^8.395/g1^8 + g1^32*t^8.421 + t^8.533/g1^26 + g1^54*t^8.585 + (3*t^8.697)/g1^4 + g1^36*t^8.723 - g1^18*t^8.862 - t^4.349/(g1^2*y) - t^6.441/(g1^14*y) + t^7.046/(g1^6*y) - (g1^2*t^7.651)/y + (g1^6*t^7.954)/y + t^8.092/(g1^12*y) + (g1^10*t^8.256)/y + (2*t^8.395)/(g1^8*y) - t^8.533/(g1^26*y) + t^8.697/(g1^4*y) + t^8.836/(g1^22*y) + (g1^18*t^8.862)/y - (t^4.349*y)/g1^2 - (t^6.441*y)/g1^14 + (t^7.046*y)/g1^6 - g1^2*t^7.651*y + g1^6*t^7.954*y + (t^8.092*y)/g1^12 + g1^10*t^8.256*y + (2*t^8.395*y)/g1^8 - (t^8.533*y)/g1^26 + (t^8.697*y)/g1^4 + (t^8.836*y)/g1^22 + g1^18*t^8.862*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 |
---|---|---|---|---|---|---|---|---|
46562 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6784 | 0.8379 | 0.8097 | [M:[1.104, 0.688, 1.104, 0.792], q:[0.464, 0.432], qb:[0.776, 0.536], phi:[0.448]] | t^2.064 + t^2.376 + t^2.904 + t^3. + 2*t^3.312 + t^3.72 + t^3.936 + t^4.032 + 2*t^4.128 + t^4.248 + t^4.344 + t^4.44 + t^4.56 + t^4.752 + t^4.968 + t^5.064 + t^5.28 + 3*t^5.376 + t^5.688 + t^5.808 - t^6. - t^4.344/y - t^4.344*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 |
---|---|---|---|---|---|---|---|---|---|
46040 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6636 | 0.8114 | 0.8179 | [M:[1.0903, 0.7292, 1.0903], q:[0.4549, 0.4549], qb:[0.7726, 0.4983], phi:[0.4549]] | t^2.188 + 2*t^2.859 + 2*t^3.271 + 2*t^3.682 + 3*t^4.094 + 2*t^4.224 + t^4.354 + t^4.375 + 2*t^5.047 + 2*t^5.458 + 3*t^5.719 - 5*t^6. - t^4.365/y - t^4.365*y | detail |