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 |
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912 | 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_1^2$ + $ M_4\phi_1^2$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[1.0, 0.9016, 0.8525, 1.0492, 1.0], q:[0.5738, 0.4262], qb:[0.5738, 0.5246], phi:[0.4754]] | [X:[], M:[[0], [-4], [-6], [2], [0]], q:[[3], [-3]], qb:[[3], [1]], 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_5$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$ | $M_1M_5$ | -1 | t^2.56 + t^2.7 + t^2.85 + 2*t^3. + t^3.15 + t^3.3 + t^3.98 + t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + 3*t^4.87 + t^5.11 + t^5.26 + 2*t^5.41 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. + t^6.15 + t^6.3 - t^6.44 + t^6.54 + t^6.59 + t^6.69 + 2*t^6.84 + 3*t^6.98 + 3*t^7.13 + 4*t^7.28 + 4*t^7.43 + 4*t^7.57 + t^7.67 + 3*t^7.72 + t^7.82 + 3*t^7.87 + 3*t^7.97 + t^8.02 + 2*t^8.11 + t^8.16 + 3*t^8.26 + 4*t^8.41 + t^8.85 - t^4.43/y - t^6.98/y - t^7.13/y + t^7.72/y + t^7.87/y + t^8.26/y + t^8.41/y + (3*t^8.56)/y + (3*t^8.7)/y + (4*t^8.85)/y - t^4.43*y - t^6.98*y - t^7.13*y + t^7.72*y + t^7.87*y + t^8.26*y + t^8.41*y + 3*t^8.56*y + 3*t^8.7*y + 4*t^8.85*y | t^2.56/g1^6 + t^2.7/g1^4 + t^2.85/g1^2 + 2*t^3. + g1^2*t^3.15 + g1^4*t^3.3 + t^3.98/g1^7 + t^4.28/g1^3 + (2*t^4.43)/g1 + g1*t^4.57 + 2*g1^3*t^4.72 + 3*g1^5*t^4.87 + t^5.11/g1^12 + t^5.26/g1^10 + (2*t^5.41)/g1^8 + t^5.56/g1^6 + (3*t^5.7)/g1^4 + (2*t^5.85)/g1^2 - t^6. + g1^2*t^6.15 + g1^4*t^6.3 - g1^6*t^6.44 + t^6.54/g1^13 + g1^8*t^6.59 + t^6.69/g1^11 + (2*t^6.84)/g1^9 + (3*t^6.98)/g1^7 + (3*t^7.13)/g1^5 + (4*t^7.28)/g1^3 + (4*t^7.43)/g1 + 4*g1*t^7.57 + t^7.67/g1^18 + 3*g1^3*t^7.72 + t^7.82/g1^16 + 3*g1^5*t^7.87 + (3*t^7.97)/g1^14 + g1^7*t^8.02 + (2*t^8.11)/g1^12 + g1^9*t^8.16 + (3*t^8.26)/g1^10 + (4*t^8.41)/g1^8 + t^8.85/g1^2 - t^4.43/(g1*y) - t^6.98/(g1^7*y) - t^7.13/(g1^5*y) + (g1^3*t^7.72)/y + (g1^5*t^7.87)/y + t^8.26/(g1^10*y) + t^8.41/(g1^8*y) + (3*t^8.56)/(g1^6*y) + (3*t^8.7)/(g1^4*y) + (4*t^8.85)/(g1^2*y) - (t^4.43*y)/g1 - (t^6.98*y)/g1^7 - (t^7.13*y)/g1^5 + g1^3*t^7.72*y + g1^5*t^7.87*y + (t^8.26*y)/g1^10 + (t^8.41*y)/g1^8 + (3*t^8.56*y)/g1^6 + (3*t^8.7*y)/g1^4 + (4*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
1393 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_4\phi_1^2$ + $ M_4M_6$ | 0.7132 | 0.878 | 0.8122 | [X:[], M:[1.0, 0.8894, 0.834, 1.0553, 1.0, 0.9447], q:[0.583, 0.417], qb:[0.583, 0.5277], phi:[0.4723]] | t^2.5 + t^2.67 + 2*t^2.83 + 2*t^3. + t^3.33 + t^3.92 + t^4.25 + 2*t^4.42 + t^4.58 + 2*t^4.75 + 3*t^4.91 + t^5. + t^5.17 + 3*t^5.34 + 2*t^5.5 + 4*t^5.67 + 3*t^5.83 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
1396 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.7291 | 0.9105 | 0.8008 | [X:[], M:[1.0, 0.9026, 0.8539, 1.0487, 1.0, 0.6704], q:[0.573, 0.427], qb:[0.573, 0.5243], phi:[0.4757]] | t^2.01 + t^2.56 + t^2.71 + t^2.85 + 2*t^3. + t^3.15 + t^3.29 + t^4.02 + t^4.28 + 2*t^4.43 + 2*t^4.57 + 3*t^4.72 + 4*t^4.87 + 2*t^5.01 + t^5.12 + t^5.16 + t^5.27 + t^5.3 + 2*t^5.42 + t^5.56 + 3*t^5.71 + 2*t^5.85 - t^6. - t^4.43/y - t^4.43*y | detail | |
1395 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1^2$ | 0.704 | 0.8616 | 0.8171 | [X:[], M:[1.0, 0.9143, 0.8714, 1.0429, 1.0, 1.0429], q:[0.5643, 0.4357], qb:[0.5643, 0.5214], phi:[0.4786]] | t^2.61 + t^2.74 + 2*t^3. + 2*t^3.13 + t^3.26 + t^4.05 + t^4.31 + 2*t^4.44 + t^4.56 + 2*t^4.69 + 3*t^4.82 + t^5.23 + t^5.36 + t^5.49 + 3*t^5.74 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
1394 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_4\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7182 | 0.8876 | 0.8092 | [X:[], M:[1.0, 0.8798, 0.8198, 1.0601, 1.0, 0.8798], q:[0.5901, 0.4099], qb:[0.5901, 0.53], phi:[0.47]] | t^2.46 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.87 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.92 + 3*t^4.95 + 2*t^5.1 + 4*t^5.28 + 2*t^5.46 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*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 |
---|---|---|---|---|---|---|---|---|---|
588 | 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_1^2$ | 0.7293 | 0.896 | 0.8139 | [X:[], M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.33 + t^2.63 + t^2.66 + t^2.7 + 2*t^3. + t^3.67 + t^4.03 + 2*t^4.33 + 3*t^4.63 + t^4.66 + t^4.7 + t^4.96 + t^4.99 + 2*t^5. + t^5.03 + t^5.26 + t^5.3 + 3*t^5.33 + t^5.36 + t^5.37 + t^5.4 + 2*t^5.66 - 2*t^6. - t^4.33/y - t^4.33*y | detail |