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 |
---|---|---|---|---|---|---|---|---|---|
797 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1M_2$ + $ M_2M_5$ | 0.7114 | 0.8731 | 0.8147 | [X:[], M:[0.9413, 1.0587, 0.8238, 1.0, 0.9413], q:[0.5, 0.5587], qb:[0.4413, 0.6175], phi:[0.4706]] | [X:[], M:[[-2], [2], [-6], [0], [-2]], q:[[0], [2]], qb:[[-2], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | 0 | t^2.47 + 3*t^2.82 + t^3. + t^3.18 + t^3.35 + t^4.06 + t^4.24 + 2*t^4.41 + 2*t^4.59 + 2*t^4.76 + 2*t^4.94 + t^5.12 + 3*t^5.3 + 5*t^5.65 + t^5.82 + t^6.18 - t^6.35 + t^6.53 + t^6.7 + t^6.71 + 4*t^6.88 + 4*t^7.06 + 5*t^7.24 + 6*t^7.41 + 4*t^7.59 + 2*t^7.76 + 3*t^7.77 + 2*t^7.94 + 7*t^8.12 + 7*t^8.47 + t^8.65 - 3*t^8.82 - t^4.41/y - t^6.88/y - (2*t^7.24)/y + (2*t^7.59)/y + t^7.94/y + (3*t^8.3)/y + t^8.47/y + (4*t^8.65)/y + (4*t^8.82)/y - t^4.41*y - t^6.88*y - 2*t^7.24*y + 2*t^7.59*y + t^7.94*y + 3*t^8.3*y + t^8.47*y + 4*t^8.65*y + 4*t^8.82*y | t^2.47/g1^6 + (3*t^2.82)/g1^2 + t^3. + g1^2*t^3.18 + g1^4*t^3.35 + t^4.06/g1^5 + t^4.24/g1^3 + (2*t^4.41)/g1 + 2*g1*t^4.59 + 2*g1^3*t^4.76 + t^4.94/g1^12 + g1^5*t^4.94 + g1^7*t^5.12 + (3*t^5.3)/g1^8 + (5*t^5.65)/g1^4 + t^5.82/g1^2 + g1^2*t^6.18 - g1^4*t^6.35 + t^6.53/g1^11 + g1^8*t^6.7 + t^6.71/g1^9 + (4*t^6.88)/g1^7 + (4*t^7.06)/g1^5 + (5*t^7.24)/g1^3 + t^7.41/g1^18 + (5*t^7.41)/g1 + 4*g1*t^7.59 + 2*g1^3*t^7.76 + (3*t^7.77)/g1^14 + 2*g1^5*t^7.94 + (6*t^8.12)/g1^10 + g1^7*t^8.12 + (6*t^8.47)/g1^6 + g1^11*t^8.47 + t^8.65/g1^4 - (3*t^8.82)/g1^2 - t^4.41/(g1*y) - t^6.88/(g1^7*y) - (2*t^7.24)/(g1^3*y) + (2*g1*t^7.59)/y + (g1^5*t^7.94)/y + (3*t^8.3)/(g1^8*y) + t^8.47/(g1^6*y) + (4*t^8.65)/(g1^4*y) + (4*t^8.82)/(g1^2*y) - (t^4.41*y)/g1 - (t^6.88*y)/g1^7 - (2*t^7.24*y)/g1^3 + 2*g1*t^7.59*y + g1^5*t^7.94*y + (3*t^8.3*y)/g1^8 + (t^8.47*y)/g1^6 + (4*t^8.65*y)/g1^4 + (4*t^8.82*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 |
---|---|---|---|---|---|---|---|---|
1275 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.7172 | 0.8838 | 0.8115 | [X:[], M:[0.9338, 1.0662, 0.8014, 1.0, 0.9338, 0.9338], q:[0.5, 0.5662], qb:[0.4338, 0.6324], phi:[0.4669]] | t^2.4 + 4*t^2.8 + t^3. + t^3.4 + t^4. + t^4.2 + 2*t^4.4 + 2*t^4.6 + 2*t^4.8 + t^4.81 + t^5. + t^5.2 + 4*t^5.21 + 8*t^5.6 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*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 |
---|---|---|---|---|---|---|---|---|---|
510 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1M_2$ | 0.7063 | 0.8641 | 0.8173 | [X:[], M:[0.9489, 1.0511, 0.8468, 1.0], q:[0.5, 0.5511], qb:[0.4489, 0.6021], phi:[0.4745]] | t^2.54 + 2*t^2.85 + t^3. + 2*t^3.15 + t^3.31 + t^4.12 + t^4.27 + 2*t^4.42 + 2*t^4.58 + 2*t^4.73 + t^4.88 + t^5.04 + t^5.08 + 2*t^5.39 + 3*t^5.69 + t^6. - t^4.42/y - t^4.42*y | detail |