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 |
---|---|---|---|---|---|---|---|---|---|
3706 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_1q_2$ | 0.6766 | 0.8791 | 0.7697 | [X:[], M:[1.1405, 1.1198, 0.7603, 0.719, 0.8802, 0.8802, 0.7603], q:[0.75, 0.4897], qb:[0.3698, 0.3905], phi:[0.5]] | [X:[], M:[[3], [-1], [2], [-6], [1], [1], [2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ M_7$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_4M_6$, $ M_3M_5$, $ M_3M_6$, $ M_5M_7$, $ M_6M_7$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_1M_7$, $ M_3q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -3 | t^2.16 + 3*t^2.28 + 2*t^2.64 + t^3. + 2*t^3.42 + t^3.78 + t^4.08 + t^4.14 + t^4.31 + 4*t^4.44 + 6*t^4.56 + 2*t^4.8 + 6*t^4.92 + t^5.16 + 6*t^5.28 + 2*t^5.58 + t^5.64 + 5*t^5.7 - 3*t^6. + 6*t^6.06 + t^6.24 + 5*t^6.42 + t^6.47 + 4*t^6.59 + 8*t^6.72 + t^6.78 + 12*t^6.84 + 2*t^6.95 + 7*t^7.08 - 3*t^7.14 + 12*t^7.2 + t^7.31 + 4*t^7.44 - 2*t^7.5 + 15*t^7.56 + 2*t^7.74 - t^7.8 + 4*t^7.86 + 6*t^7.92 + 9*t^7.98 - 3*t^8.16 + 3*t^8.22 - 8*t^8.28 + 13*t^8.34 + t^8.39 + t^8.52 + t^8.58 + t^8.63 - 10*t^8.64 + 15*t^8.7 + 4*t^8.75 + 9*t^8.88 - 2*t^8.94 - t^4.5/y - t^6.66/y - (2*t^6.78)/y + t^7.08/y - t^7.14/y + (3*t^7.44)/y + (3*t^7.56)/y + (2*t^7.8)/y + t^7.86/y + (5*t^7.92)/y + t^8.16/y + (2*t^8.22)/y + (4*t^8.28)/y + t^8.34/y + (2*t^8.58)/y + (2*t^8.64)/y + (6*t^8.7)/y - t^8.81/y - t^8.94/y - t^4.5*y - t^6.66*y - 2*t^6.78*y + t^7.08*y - t^7.14*y + 3*t^7.44*y + 3*t^7.56*y + 2*t^7.8*y + t^7.86*y + 5*t^7.92*y + t^8.16*y + 2*t^8.22*y + 4*t^8.28*y + t^8.34*y + 2*t^8.58*y + 2*t^8.64*y + 6*t^8.7*y - t^8.81*y - t^8.94*y | t^2.16/g1^6 + 3*g1^2*t^2.28 + 2*g1*t^2.64 + t^3. + 2*g1^3*t^3.42 + g1^2*t^3.78 + t^4.08/g1^3 + g1*t^4.14 + t^4.31/g1^12 + (4*t^4.44)/g1^4 + 6*g1^4*t^4.56 + (2*t^4.8)/g1^5 + 6*g1^3*t^4.92 + t^5.16/g1^6 + 6*g1^2*t^5.28 + (2*t^5.58)/g1^3 + g1*t^5.64 + 5*g1^5*t^5.7 - 3*t^6. + 6*g1^4*t^6.06 + t^6.24/g1^9 + 5*g1^3*t^6.42 + t^6.47/g1^18 + (4*t^6.59)/g1^10 + (8*t^6.72)/g1^2 + g1^2*t^6.78 + 12*g1^6*t^6.84 + (2*t^6.95)/g1^11 + (7*t^7.08)/g1^3 - 3*g1*t^7.14 + 12*g1^5*t^7.2 + t^7.31/g1^12 + (4*t^7.44)/g1^4 - 2*t^7.5 + 15*g1^4*t^7.56 + (2*t^7.74)/g1^9 - t^7.8/g1^5 + (4*t^7.86)/g1 + 6*g1^3*t^7.92 + 9*g1^7*t^7.98 - (3*t^8.16)/g1^6 + (3*t^8.22)/g1^2 - 8*g1^2*t^8.28 + 13*g1^6*t^8.34 + t^8.39/g1^15 + t^8.52/g1^7 + t^8.58/g1^3 + t^8.63/g1^24 - 10*g1*t^8.64 + 15*g1^5*t^8.7 + (4*t^8.75)/g1^16 + (9*t^8.88)/g1^8 - (2*t^8.94)/g1^4 - t^4.5/y - t^6.66/(g1^6*y) - (2*g1^2*t^6.78)/y + t^7.08/(g1^3*y) - (g1*t^7.14)/y + (3*t^7.44)/(g1^4*y) + (3*g1^4*t^7.56)/y + (2*t^7.8)/(g1^5*y) + t^7.86/(g1*y) + (5*g1^3*t^7.92)/y + t^8.16/(g1^6*y) + (2*t^8.22)/(g1^2*y) + (4*g1^2*t^8.28)/y + (g1^6*t^8.34)/y + (2*t^8.58)/(g1^3*y) + (2*g1*t^8.64)/y + (6*g1^5*t^8.7)/y - t^8.81/(g1^12*y) - t^8.94/(g1^4*y) - t^4.5*y - (t^6.66*y)/g1^6 - 2*g1^2*t^6.78*y + (t^7.08*y)/g1^3 - g1*t^7.14*y + (3*t^7.44*y)/g1^4 + 3*g1^4*t^7.56*y + (2*t^7.8*y)/g1^5 + (t^7.86*y)/g1 + 5*g1^3*t^7.92*y + (t^8.16*y)/g1^6 + (2*t^8.22*y)/g1^2 + 4*g1^2*t^8.28*y + g1^6*t^8.34*y + (2*t^8.58*y)/g1^3 + 2*g1*t^8.64*y + 6*g1^5*t^8.7*y - (t^8.81*y)/g1^12 - (t^8.94*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
5332 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_1q_2$ + $ M_4M_8$ | 0.657 | 0.8447 | 0.7778 | [X:[], M:[1.1238, 1.1254, 0.7492, 0.7524, 0.8746, 0.8746, 0.7492, 1.2476], q:[0.75, 0.5008], qb:[0.3754, 0.3738], phi:[0.5]] | 3*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.37 + t^3.74 + t^3.75 + t^4.12 + t^4.13 + 7*t^4.5 + 6*t^4.87 + 6*t^5.25 + 6*t^5.62 + 3*t^5.99 + 2*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
3273 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6581 | 0.8456 | 0.7783 | [X:[], M:[1.1466, 1.1178, 0.7644, 0.7068, 0.8822, 0.8822], q:[0.75, 0.4856], qb:[0.3678, 0.3966], phi:[0.5]] | t^2.12 + 2*t^2.29 + 2*t^2.65 + t^3. + 2*t^3.44 + t^3.71 + t^3.79 + t^4.06 + t^4.15 + t^4.24 + 3*t^4.41 + 3*t^4.59 + 2*t^4.77 + 4*t^4.94 + t^5.12 + 5*t^5.29 + 2*t^5.56 + t^5.65 + 3*t^5.73 + t^5.83 - t^6. - t^4.5/y - t^4.5*y | detail |