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 |
---|---|---|---|---|---|---|---|---|---|
575 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ \phi_1^2q_1\tilde{q}_2$ | 0.711 | 0.8727 | 0.8148 | [X:[], M:[1.0, 0.8853, 0.8279, 1.0574], q:[0.5574, 0.4426], qb:[0.6147, 0.5], phi:[0.4713]] | [X:[], M:[[0], [-4], [-6], [2]], q:[[2], [-2]], qb:[[4], [0]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_3q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2M_4$, $ M_1\phi_1^2$ | $\phi_1^2q_2\tilde{q}_1$ | 0 | t^2.48 + t^2.66 + t^2.83 + t^3. + 3*t^3.17 + t^4.07 + t^4.24 + 2*t^4.41 + 2*t^4.59 + 2*t^4.76 + t^4.93 + t^4.97 + t^5.1 + t^5.14 + 2*t^5.31 + t^5.48 + 3*t^5.66 + t^5.83 + 3*t^6.34 - t^6.52 + t^6.55 + 2*t^6.73 + 3*t^6.9 + 4*t^7.07 + 5*t^7.24 + 4*t^7.41 + t^7.45 + 4*t^7.59 + t^7.62 + 3*t^7.76 + 2*t^7.8 + 2*t^7.93 + 2*t^7.97 + t^8.1 + 4*t^8.14 + t^8.27 + 2*t^8.31 + 2*t^8.48 - t^8.66 + t^8.83 - t^4.41/y - t^6.9/y - t^7.07/y + t^7.76/y + t^7.93/y + t^8.14/y + t^8.31/y + (2*t^8.48)/y + (4*t^8.66)/y + (4*t^8.83)/y - t^4.41*y - t^6.9*y - t^7.07*y + t^7.76*y + t^7.93*y + t^8.14*y + t^8.31*y + 2*t^8.48*y + 4*t^8.66*y + 4*t^8.83*y | t^2.48/g1^6 + t^2.66/g1^4 + t^2.83/g1^2 + t^3. + 3*g1^2*t^3.17 + t^4.07/g1^5 + t^4.24/g1^3 + (2*t^4.41)/g1 + 2*g1*t^4.59 + 2*g1^3*t^4.76 + g1^5*t^4.93 + t^4.97/g1^12 + g1^7*t^5.1 + t^5.14/g1^10 + (2*t^5.31)/g1^8 + t^5.48/g1^6 + (3*t^5.66)/g1^4 + t^5.83/g1^2 + 3*g1^4*t^6.34 - g1^6*t^6.52 + t^6.55/g1^11 + (2*t^6.73)/g1^9 + (3*t^6.9)/g1^7 + (4*t^7.07)/g1^5 + (5*t^7.24)/g1^3 + (4*t^7.41)/g1 + t^7.45/g1^18 + 4*g1*t^7.59 + t^7.62/g1^16 + 3*g1^3*t^7.76 + (2*t^7.8)/g1^14 + 2*g1^5*t^7.93 + (2*t^7.97)/g1^12 + g1^7*t^8.1 + (4*t^8.14)/g1^10 + g1^9*t^8.27 + (2*t^8.31)/g1^8 + (2*t^8.48)/g1^6 - t^8.66/g1^4 + t^8.83/g1^2 - t^4.41/(g1*y) - t^6.9/(g1^7*y) - t^7.07/(g1^5*y) + (g1^3*t^7.76)/y + (g1^5*t^7.93)/y + t^8.14/(g1^10*y) + t^8.31/(g1^8*y) + (2*t^8.48)/(g1^6*y) + (4*t^8.66)/(g1^4*y) + (4*t^8.83)/(g1^2*y) - (t^4.41*y)/g1 - (t^6.9*y)/g1^7 - (t^7.07*y)/g1^5 + g1^3*t^7.76*y + g1^5*t^7.93*y + (t^8.14*y)/g1^10 + (t^8.31*y)/g1^8 + (2*t^8.48*y)/g1^6 + (4*t^8.66*y)/g1^4 + (4*t^8.83*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 |
---|---|---|---|---|---|---|---|---|
891 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ \phi_1^2q_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.7061 | 0.8639 | 0.8173 | [X:[], M:[1.0, 0.9001, 0.8501, 1.05, 1.05], q:[0.55, 0.45], qb:[0.5999, 0.5], phi:[0.475]] | t^2.55 + t^2.7 + t^3. + 4*t^3.15 + t^4.13 + t^4.28 + 2*t^4.43 + 2*t^4.57 + 2*t^4.72 + t^4.87 + t^5.02 + t^5.1 + t^5.25 + t^5.4 + 3*t^5.7 + t^5.85 - 3*t^6. - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
364 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ | 0.7111 | 0.8727 | 0.8148 | [X:[], M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]] | t^2.48 + t^2.65 + t^2.83 + t^3. + t^3.15 + t^3.17 + t^3.19 + t^4.09 + t^4.24 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.74 + t^4.76 + t^4.93 + t^4.96 + t^5.13 + t^5.14 + 2*t^5.31 + t^5.48 + 3*t^5.65 + t^5.83 + t^5.98 - 2*t^6. - t^4.41/y - t^4.41*y | detail |