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 |
---|---|---|---|---|---|---|---|---|---|
2459 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.724 | 0.8987 | 0.8056 | [M:[1.0, 0.8687, 0.8031, 1.0656, 1.0, 0.8687, 0.9344], q:[0.5985, 0.4015], qb:[0.5985, 0.5328], phi:[0.4672]] | [M:[[0], [-4], [-6], [2], [0], [-4], [-2]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -3 | t^2.409 + 2*t^2.606 + 2*t^2.803 + 2*t^3. + t^3.811 + t^4.205 + 2*t^4.402 + t^4.598 + 2*t^4.795 + t^4.818 + 3*t^4.992 + 2*t^5.015 + 5*t^5.212 + 4*t^5.409 + 6*t^5.606 + 2*t^5.803 - 3*t^6. - 2*t^6.197 + t^6.22 - 2*t^6.394 + 2*t^6.417 - 2*t^6.591 + 3*t^6.614 + 4*t^6.811 + 5*t^7.008 + 6*t^7.205 + t^7.228 + 6*t^7.402 + 2*t^7.425 + 6*t^7.598 + 6*t^7.621 + 3*t^7.795 + 8*t^7.818 + 9*t^8.015 - 4*t^8.189 + 10*t^8.212 - 2*t^8.386 + 3*t^8.409 - 4*t^8.606 + t^8.629 - 8*t^8.803 + 2*t^8.826 - t^4.402/y - t^6.811/y - (2*t^7.008)/y - t^7.205/y + t^7.598/y + (2*t^7.795)/y + t^7.992/y + (2*t^8.015)/y + (3*t^8.212)/y + (6*t^8.409)/y + (5*t^8.606)/y + (4*t^8.803)/y - t^4.402*y - t^6.811*y - 2*t^7.008*y - t^7.205*y + t^7.598*y + 2*t^7.795*y + t^7.992*y + 2*t^8.015*y + 3*t^8.212*y + 6*t^8.409*y + 5*t^8.606*y + 4*t^8.803*y | t^2.409/g1^6 + (2*t^2.606)/g1^4 + (2*t^2.803)/g1^2 + 2*t^3. + t^3.811/g1^7 + t^4.205/g1^3 + (2*t^4.402)/g1 + g1*t^4.598 + 2*g1^3*t^4.795 + t^4.818/g1^12 + 3*g1^5*t^4.992 + (2*t^5.015)/g1^10 + (5*t^5.212)/g1^8 + (4*t^5.409)/g1^6 + (6*t^5.606)/g1^4 + (2*t^5.803)/g1^2 - 3*t^6. - 2*g1^2*t^6.197 + t^6.22/g1^13 - 2*g1^4*t^6.394 + (2*t^6.417)/g1^11 - 2*g1^6*t^6.591 + (3*t^6.614)/g1^9 + (4*t^6.811)/g1^7 + (5*t^7.008)/g1^5 + (6*t^7.205)/g1^3 + t^7.228/g1^18 + (6*t^7.402)/g1 + (2*t^7.425)/g1^16 + 6*g1*t^7.598 + (6*t^7.621)/g1^14 + 3*g1^3*t^7.795 + (8*t^7.818)/g1^12 + (9*t^8.015)/g1^10 - 4*g1^7*t^8.189 + (10*t^8.212)/g1^8 - 2*g1^9*t^8.386 + (3*t^8.409)/g1^6 - (4*t^8.606)/g1^4 + t^8.629/g1^19 - (8*t^8.803)/g1^2 + (2*t^8.826)/g1^17 - t^4.402/(g1*y) - t^6.811/(g1^7*y) - (2*t^7.008)/(g1^5*y) - t^7.205/(g1^3*y) + (g1*t^7.598)/y + (2*g1^3*t^7.795)/y + (g1^5*t^7.992)/y + (2*t^8.015)/(g1^10*y) + (3*t^8.212)/(g1^8*y) + (6*t^8.409)/(g1^6*y) + (5*t^8.606)/(g1^4*y) + (4*t^8.803)/(g1^2*y) - (t^4.402*y)/g1 - (t^6.811*y)/g1^7 - (2*t^7.008*y)/g1^5 - (t^7.205*y)/g1^3 + g1*t^7.598*y + 2*g1^3*t^7.795*y + g1^5*t^7.992*y + (2*t^8.015*y)/g1^10 + (3*t^8.212*y)/g1^8 + (6*t^8.409*y)/g1^6 + (5*t^8.606*y)/g1^4 + (4*t^8.803*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
4511 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7441 | 0.9354 | 0.7955 | [M:[1.0, 0.8789, 0.8183, 1.0606, 1.0, 0.8789, 0.9394, 0.7119], q:[0.5908, 0.4092], qb:[0.5908, 0.5303], phi:[0.4697]] | t^2.136 + t^2.455 + 2*t^2.637 + 2*t^2.818 + 2*t^3. + t^4.228 + t^4.272 + 2*t^4.409 + 2*t^4.591 + 4*t^4.772 + t^4.91 + 5*t^4.954 + 2*t^5.092 + 2*t^5.136 + 5*t^5.273 + 4*t^5.455 + 6*t^5.637 + 2*t^5.818 - 3*t^6. - t^4.409/y - t^4.409*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 |
---|---|---|---|---|---|---|---|---|---|
1394 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7182 | 0.8876 | 0.8092 | [M:[1.0, 0.8798, 0.8198, 1.0601, 1.0, 0.8798], q:[0.5901, 0.4099], qb:[0.5901, 0.53], phi:[0.47]] | t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail |