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 |
---|---|---|---|---|---|---|---|---|---|
2372 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5X_1$ | 0.6699 | 0.8329 | 0.8044 | [X:[1.3728], M:[0.8036, 1.0982, 1.0, 1.1763, 0.6272, 0.8237, 0.7455], q:[0.4219, 0.7746], qb:[0.4018, 0.5982], phi:[0.4509]] | [X:[[5]], M:[[-8], [4], [0], [-3], [-5], [3], [10]], q:[[7], [1]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_1$, $ M_6$, $ M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ X_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_7^2$, $ M_1M_7$, $ M_6M_7$, $ M_1^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_7q_1\tilde{q}_2$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_7$, $ M_6q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_6$, $ M_4M_7$ | . | -1 | t^2.24 + t^2.41 + t^2.47 + t^3. + t^3.06 + t^3.29 + t^3.53 + t^3.82 + t^3.88 + t^4.12 + t^4.35 + t^4.41 + t^4.47 + t^4.65 + t^4.71 + t^4.82 + t^4.88 + 2*t^4.94 + t^5.24 + t^5.3 + t^5.47 + 2*t^5.53 + t^5.71 + 2*t^5.77 - t^6. + t^6.06 + 2*t^6.12 + 2*t^6.29 + 3*t^6.35 + 2*t^6.59 + t^6.65 + t^6.71 + t^6.82 + 3*t^6.88 + 2*t^6.94 + t^7.12 + 3*t^7.18 + t^7.23 + t^7.35 + 3*t^7.41 + 2*t^7.47 + t^7.53 + t^7.65 + 2*t^7.71 + 3*t^7.77 - t^7.88 + 2*t^7.94 + 4*t^8. + t^8.12 + t^8.24 + 2*t^8.3 + 2*t^8.36 - 2*t^8.41 - 2*t^8.47 + 2*t^8.53 + 4*t^8.59 + 2*t^8.77 + 5*t^8.83 + t^8.89 - t^8.94 + t^8.95 - t^4.35/y - t^6.59/y - t^6.76/y + t^7.65/y + t^7.71/y + t^7.88/y + t^7.94/y + t^8.12/y + t^8.24/y + t^8.3/y + t^8.41/y + (2*t^8.47)/y + (2*t^8.53)/y + t^8.71/y + (2*t^8.77)/y - t^8.83/y + t^8.94/y - t^4.35*y - t^6.59*y - t^6.76*y + t^7.65*y + t^7.71*y + t^7.88*y + t^7.94*y + t^8.12*y + t^8.24*y + t^8.3*y + t^8.41*y + 2*t^8.47*y + 2*t^8.53*y + t^8.71*y + 2*t^8.77*y - t^8.83*y + t^8.94*y | g1^10*t^2.24 + t^2.41/g1^8 + g1^3*t^2.47 + t^3. + g1^11*t^3.06 + g1^4*t^3.29 + t^3.53/g1^3 + g1*t^3.82 + g1^12*t^3.88 + g1^5*t^4.12 + t^4.35/g1^2 + g1^9*t^4.41 + g1^20*t^4.47 + g1^2*t^4.65 + g1^13*t^4.71 + t^4.82/g1^16 + t^4.88/g1^5 + 2*g1^6*t^4.94 + g1^10*t^5.24 + g1^21*t^5.3 + g1^3*t^5.47 + 2*g1^14*t^5.53 + t^5.71/g1^4 + 2*g1^7*t^5.77 - t^6. + g1^11*t^6.06 + 2*g1^22*t^6.12 + 2*g1^4*t^6.29 + 3*g1^15*t^6.35 + 2*g1^8*t^6.59 + g1^19*t^6.65 + g1^30*t^6.71 + g1*t^6.82 + 3*g1^12*t^6.88 + 2*g1^23*t^6.94 + g1^5*t^7.12 + 3*g1^16*t^7.18 + t^7.23/g1^24 + t^7.35/g1^2 + 3*g1^9*t^7.41 + 2*g1^20*t^7.47 + g1^31*t^7.53 + g1^2*t^7.65 + 2*g1^13*t^7.71 + 3*g1^24*t^7.77 - t^7.88/g1^5 + 2*g1^6*t^7.94 + 4*g1^17*t^8. + t^8.12/g1^12 + g1^10*t^8.24 + 2*g1^21*t^8.3 + 2*g1^32*t^8.36 - (2*t^8.41)/g1^8 - 2*g1^3*t^8.47 + 2*g1^14*t^8.53 + 4*g1^25*t^8.59 + 2*g1^7*t^8.77 + 5*g1^18*t^8.83 + g1^29*t^8.89 - t^8.94/g1^11 + g1^40*t^8.95 - t^4.35/(g1^2*y) - (g1^8*t^6.59)/y - t^6.76/(g1^10*y) + (g1^2*t^7.65)/y + (g1^13*t^7.71)/y + t^7.88/(g1^5*y) + (g1^6*t^7.94)/y + t^8.12/(g1^12*y) + (g1^10*t^8.24)/y + (g1^21*t^8.3)/y + t^8.41/(g1^8*y) + (2*g1^3*t^8.47)/y + (2*g1^14*t^8.53)/y + t^8.71/(g1^4*y) + (2*g1^7*t^8.77)/y - (g1^18*t^8.83)/y + t^8.94/(g1^11*y) - (t^4.35*y)/g1^2 - g1^8*t^6.59*y - (t^6.76*y)/g1^10 + g1^2*t^7.65*y + g1^13*t^7.71*y + (t^7.88*y)/g1^5 + g1^6*t^7.94*y + (t^8.12*y)/g1^12 + g1^10*t^8.24*y + g1^21*t^8.3*y + (t^8.41*y)/g1^8 + 2*g1^3*t^8.47*y + 2*g1^14*t^8.53*y + (t^8.71*y)/g1^4 + 2*g1^7*t^8.77*y - g1^18*t^8.83*y + (t^8.94*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
4403 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5X_1$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6899 | 0.8698 | 0.7931 | [X:[1.3734], M:[0.8025, 1.0988, 1.0, 1.1759, 0.6266, 0.8241, 0.7469, 0.7253], q:[0.4228, 0.7747], qb:[0.4012, 0.5988], phi:[0.4506]] | t^2.18 + t^2.24 + t^2.41 + t^2.47 + t^3. + t^3.06 + t^3.3 + t^3.53 + t^3.89 + t^4.12 + 2*t^4.35 + 2*t^4.42 + t^4.48 + t^4.58 + 2*t^4.65 + t^4.71 + t^4.81 + t^4.88 + 2*t^4.94 + t^5.18 + 2*t^5.24 + t^5.31 + 2*t^5.47 + 2*t^5.54 + 2*t^5.7 + 2*t^5.77 - t^6. - t^4.35/y - t^4.35*y | detail | |
4404 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5X_1$ + $ M_8\phi_1q_1^2$ | 0.6905 | 0.8716 | 0.7922 | [X:[1.3769], M:[0.7969, 1.1016, 1.0, 1.1738, 0.6231, 0.8262, 0.7539, 0.6953], q:[0.4277, 0.7754], qb:[0.3984, 0.6016], phi:[0.4492]] | t^2.09 + t^2.26 + t^2.39 + t^2.48 + t^3. + t^3.09 + t^3.3 + t^3.52 + t^3.83 + t^4.13 + t^4.17 + 2*t^4.35 + t^4.44 + t^4.48 + t^4.52 + t^4.56 + t^4.65 + t^4.74 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.09 + t^5.17 + t^5.26 + t^5.35 + t^5.39 + t^5.48 + 2*t^5.57 + t^5.61 + t^5.7 + 2*t^5.78 + t^5.91 - t^6. - t^4.35/y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
1319 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7342 | 0.9146 | 0.8027 | [X:[], M:[0.8619, 1.069, 1.0, 1.0246, 0.8374, 0.9754, 0.6726], q:[0.5445, 0.5936], qb:[0.431, 0.569], phi:[0.4655]] | t^2.02 + t^2.51 + t^2.59 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.34 + t^4.04 + t^4.32 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + t^4.66 + t^4.74 + 2*t^4.81 + t^4.88 + t^4.94 + t^4.96 + 2*t^5.02 + t^5.09 + t^5.1 + t^5.17 + t^5.22 + t^5.36 + t^5.44 + t^5.51 + t^5.59 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. - t^4.4/y - t^4.4*y | detail |