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 |
---|---|---|---|---|---|---|---|---|---|
2507 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_3M_7$ | 0.712 | 0.8818 | 0.8075 | [X:[], M:[1.0392, 0.8823, 1.0785, 0.8431, 1.0, 0.9215, 0.9215], q:[0.4412, 0.5196], qb:[0.4804, 0.6373], phi:[0.4804]] | [X:[], M:[[2], [-6], [4], [-8], [0], [-4], [-4]], q:[[-3], [1]], qb:[[-1], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_2$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_5$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_2M_4$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_4M_6$, $ M_4M_7$, $ M_2M_6$, $ M_2M_7$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_5M_6$, $ M_5M_7$, $ \phi_1^4$, $ M_1M_6$, $ M_1M_7$, $ M_5\phi_1^2$ | . | -2 | t^2.53 + t^2.65 + 2*t^2.76 + t^2.88 + t^3. + t^3.12 + t^4.09 + t^4.21 + 2*t^4.32 + t^4.44 + t^4.56 + t^4.68 + t^4.79 + t^4.91 + t^5.06 + t^5.18 + t^5.26 + 3*t^5.29 + 2*t^5.41 + 4*t^5.53 + 3*t^5.65 + 3*t^5.76 + t^5.88 - 2*t^6. - t^6.12 - t^6.24 - t^6.35 - t^6.47 - t^6.59 + t^6.62 + 2*t^6.74 + 4*t^6.85 + 5*t^6.97 + 6*t^7.09 + 5*t^7.21 + 4*t^7.32 + 2*t^7.44 + t^7.56 + t^7.59 + t^7.71 + 3*t^7.82 + 3*t^7.94 + 5*t^8.06 + 6*t^8.18 + 7*t^8.29 + 6*t^8.41 + 2*t^8.53 - 4*t^8.76 - 4*t^8.88 - t^4.44/y - t^6.97/y - t^7.09/y - t^7.21/y + t^7.68/y + t^7.79/y + t^7.91/y + t^8.18/y + (2*t^8.29)/y + (3*t^8.41)/y + (3*t^8.53)/y + (4*t^8.65)/y + (3*t^8.76)/y + (3*t^8.88)/y - t^4.44*y - t^6.97*y - t^7.09*y - t^7.21*y + t^7.68*y + t^7.79*y + t^7.91*y + t^8.18*y + 2*t^8.29*y + 3*t^8.41*y + 3*t^8.53*y + 4*t^8.65*y + 3*t^8.76*y + 3*t^8.88*y | t^2.53/g1^8 + t^2.65/g1^6 + (2*t^2.76)/g1^4 + t^2.88/g1^2 + t^3. + g1^2*t^3.12 + t^4.09/g1^7 + t^4.21/g1^5 + (2*t^4.32)/g1^3 + t^4.44/g1 + g1*t^4.56 + g1^3*t^4.68 + g1^5*t^4.79 + g1^7*t^4.91 + t^5.06/g1^16 + t^5.18/g1^14 + g1^13*t^5.26 + (3*t^5.29)/g1^12 + (2*t^5.41)/g1^10 + (4*t^5.53)/g1^8 + (3*t^5.65)/g1^6 + (3*t^5.76)/g1^4 + t^5.88/g1^2 - 2*t^6. - g1^2*t^6.12 - g1^4*t^6.24 - g1^6*t^6.35 - g1^8*t^6.47 - g1^10*t^6.59 + t^6.62/g1^15 + (2*t^6.74)/g1^13 + (4*t^6.85)/g1^11 + (5*t^6.97)/g1^9 + (6*t^7.09)/g1^7 + (5*t^7.21)/g1^5 + (4*t^7.32)/g1^3 + (2*t^7.44)/g1 + g1*t^7.56 + t^7.59/g1^24 + t^7.71/g1^22 + (3*t^7.82)/g1^20 + (3*t^7.94)/g1^18 + (5*t^8.06)/g1^16 + (6*t^8.18)/g1^14 + (7*t^8.29)/g1^12 + (6*t^8.41)/g1^10 + (2*t^8.53)/g1^8 - (4*t^8.76)/g1^4 - (4*t^8.88)/g1^2 - t^4.44/(g1*y) - t^6.97/(g1^9*y) - t^7.09/(g1^7*y) - t^7.21/(g1^5*y) + (g1^3*t^7.68)/y + (g1^5*t^7.79)/y + (g1^7*t^7.91)/y + t^8.18/(g1^14*y) + (2*t^8.29)/(g1^12*y) + (3*t^8.41)/(g1^10*y) + (3*t^8.53)/(g1^8*y) + (4*t^8.65)/(g1^6*y) + (3*t^8.76)/(g1^4*y) + (3*t^8.88)/(g1^2*y) - (t^4.44*y)/g1 - (t^6.97*y)/g1^9 - (t^7.09*y)/g1^7 - (t^7.21*y)/g1^5 + g1^3*t^7.68*y + g1^5*t^7.79*y + g1^7*t^7.91*y + (t^8.18*y)/g1^14 + (2*t^8.29*y)/g1^12 + (3*t^8.41*y)/g1^10 + (3*t^8.53*y)/g1^8 + (4*t^8.65*y)/g1^6 + (3*t^8.76*y)/g1^4 + (3*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
4549 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_3M_7$ + $ M_1M_8$ | 0.7158 | 0.8894 | 0.8049 | [X:[], M:[1.0426, 0.8722, 1.0852, 0.8296, 1.0, 0.9148, 0.9148, 0.9574], q:[0.4361, 0.5213], qb:[0.4787, 0.6491], phi:[0.4787]] | t^2.49 + t^2.62 + 2*t^2.74 + 2*t^2.87 + t^3. + t^4.05 + t^4.18 + 2*t^4.31 + t^4.44 + t^4.56 + t^4.69 + t^4.82 + t^4.95 + t^4.98 + t^5.11 + 3*t^5.23 + t^5.33 + 3*t^5.36 + 5*t^5.49 + 4*t^5.62 + 4*t^5.74 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
4548 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_3M_7$ + $ M_8\phi_1^2$ | 0.7085 | 0.8748 | 0.8099 | [X:[], M:[1.0358, 0.8925, 1.0716, 0.8567, 1.0, 0.9284, 0.9284, 1.0358], q:[0.4463, 0.5179], qb:[0.4821, 0.6254], phi:[0.4821]] | t^2.57 + t^2.68 + 2*t^2.79 + t^3. + 2*t^3.11 + t^4.12 + t^4.23 + 2*t^4.34 + t^4.45 + t^4.55 + t^4.66 + t^4.77 + t^4.88 + t^5.14 + t^5.2 + t^5.25 + 3*t^5.36 + t^5.46 + 3*t^5.57 + 2*t^5.68 + 3*t^5.79 + 2*t^5.89 - 3*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
1434 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ | 0.7054 | 0.8688 | 0.8119 | [X:[], M:[1.0326, 0.9023, 1.0652, 0.8697, 1.0, 0.9348], q:[0.4511, 0.5163], qb:[0.4837, 0.614], phi:[0.4837]] | t^2.61 + t^2.71 + t^2.8 + t^2.9 + t^3. + t^3.1 + t^3.2 + t^4.16 + t^4.26 + 2*t^4.35 + t^4.45 + t^4.55 + t^4.65 + t^4.74 + t^4.84 + t^5.14 + t^5.22 + t^5.32 + 2*t^5.41 + t^5.51 + 2*t^5.61 + 2*t^5.71 + 3*t^5.8 + t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail |