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 |
---|---|---|---|---|---|---|---|---|---|
593 | 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_1M_3$ | 0.7215 | 0.8862 | 0.8142 | [X:[], M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]] | [X:[], M:[[1, 0], [-1, -4], [-1, 0], [1, -4], [0, 0]], q:[[0, 0], [-1, 0]], qb:[[1, 0], [0, 4]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_5$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2^2$, $ M_4^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_3$, $ M_1M_4$, $ M_5\phi_1^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$ | $M_1^2$, $ M_3^2$, $ M_1M_5$, $ M_3M_5$, $ M_4q_1\tilde{q}_2$ | -2 | 2*t^2.46 + t^2.73 + 3*t^3. + t^3.54 + 6*t^4.36 + 3*t^4.91 + 3*t^4.92 + 2*t^5.19 + t^5.45 + 4*t^5.46 + 3*t^5.73 - 2*t^6. + t^6.27 - t^6.54 + 9*t^6.82 + t^7.08 + 6*t^7.09 + 12*t^7.36 + 4*t^7.38 - 3*t^7.64 + 3*t^7.65 + 5*t^7.91 + 6*t^7.92 - 2*t^8.18 + 4*t^8.19 + 3*t^8.45 - 7*t^8.46 - t^8.72 + 13*t^8.73 + t^8.99 - t^4.36/y - (2*t^6.82)/y - t^7.09/y + t^7.64/y + (2*t^7.91)/y + t^7.92/y + (2*t^8.19)/y + (6*t^8.46)/y + (3*t^8.73)/y - t^4.36*y - 2*t^6.82*y - t^7.09*y + t^7.64*y + 2*t^7.91*y + t^7.92*y + 2*t^8.19*y + 6*t^8.46*y + 3*t^8.73*y | t^2.46/(g1*g2^4) + (g1*t^2.46)/g2^4 + t^2.73/g2^2 + t^3. + t^3./g1 + g1*t^3. + g2^4*t^3.54 + (2*t^4.36)/g2 + t^4.36/(g1^2*g2) + t^4.36/(g1*g2) + (g1*t^4.36)/g2 + (g1^2*t^4.36)/g2 + g2^3*t^4.91 + (g2^3*t^4.91)/g1 + g1*g2^3*t^4.91 + t^4.92/g2^8 + t^4.92/(g1^2*g2^8) + (g1^2*t^4.92)/g2^8 + t^5.19/(g1*g2^6) + (g1*t^5.19)/g2^6 + g2^7*t^5.45 + (2*t^5.46)/g2^4 + t^5.46/(g1^2*g2^4) + (g1^2*t^5.46)/g2^4 + t^5.73/g2^2 + t^5.73/(g1*g2^2) + (g1*t^5.73)/g2^2 - 2*t^6. + g2^2*t^6.27 - g2^4*t^6.54 + t^6.82/g2^5 + t^6.82/(g1^3*g2^5) + t^6.82/(g1^2*g2^5) + (2*t^6.82)/(g1*g2^5) + (2*g1*t^6.82)/g2^5 + (g1^2*t^6.82)/g2^5 + (g1^3*t^6.82)/g2^5 + g2^8*t^7.08 + (2*t^7.09)/g2^3 + t^7.09/(g1^2*g2^3) + t^7.09/(g1*g2^3) + (g1*t^7.09)/g2^3 + (g1^2*t^7.09)/g2^3 + (2*t^7.36)/g2 + t^7.36/(g1^3*g2) + (2*t^7.36)/(g1^2*g2) + (2*t^7.36)/(g1*g2) + (2*g1*t^7.36)/g2 + (2*g1^2*t^7.36)/g2 + (g1^3*t^7.36)/g2 + t^7.38/(g1^3*g2^12) + t^7.38/(g1*g2^12) + (g1*t^7.38)/g2^12 + (g1^3*t^7.38)/g2^12 - g2*t^7.64 - (g2*t^7.64)/g1^2 - g1^2*g2*t^7.64 + t^7.65/g2^10 + t^7.65/(g1^2*g2^10) + (g1^2*t^7.65)/g2^10 + g2^3*t^7.91 + (g2^3*t^7.91)/g1^2 + (g2^3*t^7.91)/g1 + g1*g2^3*t^7.91 + g1^2*g2^3*t^7.91 + t^7.92/(g1^3*g2^8) + (2*t^7.92)/(g1*g2^8) + (2*g1*t^7.92)/g2^8 + (g1^3*t^7.92)/g2^8 - (g2^5*t^8.18)/g1 - g1*g2^5*t^8.18 + (2*t^8.19)/g2^6 + t^8.19/(g1^2*g2^6) + (g1^2*t^8.19)/g2^6 + g2^7*t^8.45 + (g2^7*t^8.45)/g1 + g1*g2^7*t^8.45 - t^8.46/g2^4 - t^8.46/(g1^2*g2^4) - (2*t^8.46)/(g1*g2^4) - (2*g1*t^8.46)/g2^4 - (g1^2*t^8.46)/g2^4 - g2^9*t^8.72 + t^8.73/g2^2 + t^8.73/(g1^4*g2^2) + t^8.73/(g1^3*g2^2) + (2*t^8.73)/(g1^2*g2^2) + (2*t^8.73)/(g1*g2^2) + (2*g1*t^8.73)/g2^2 + (2*g1^2*t^8.73)/g2^2 + (g1^3*t^8.73)/g2^2 + (g1^4*t^8.73)/g2^2 + g2^11*t^8.99 - t^4.36/(g2*y) - t^6.82/(g1*g2^5*y) - (g1*t^6.82)/(g2^5*y) - t^7.09/(g2^3*y) + (g2*t^7.64)/y + (g2^3*t^7.91)/(g1*y) + (g1*g2^3*t^7.91)/y + t^7.92/(g2^8*y) + t^8.19/(g1*g2^6*y) + (g1*t^8.19)/(g2^6*y) + (2*t^8.46)/(g2^4*y) + t^8.46/(g1^2*g2^4*y) + t^8.46/(g1*g2^4*y) + (g1*t^8.46)/(g2^4*y) + (g1^2*t^8.46)/(g2^4*y) + t^8.73/(g2^2*y) + t^8.73/(g1*g2^2*y) + (g1*t^8.73)/(g2^2*y) - (t^4.36*y)/g2 - (t^6.82*y)/(g1*g2^5) - (g1*t^6.82*y)/g2^5 - (t^7.09*y)/g2^3 + g2*t^7.64*y + (g2^3*t^7.91*y)/g1 + g1*g2^3*t^7.91*y + (t^7.92*y)/g2^8 + (t^8.19*y)/(g1*g2^6) + (g1*t^8.19*y)/g2^6 + (2*t^8.46*y)/g2^4 + (t^8.46*y)/(g1^2*g2^4) + (t^8.46*y)/(g1*g2^4) + (g1*t^8.46*y)/g2^4 + (g1^2*t^8.46*y)/g2^4 + (t^8.73*y)/g2^2 + (t^8.73*y)/(g1*g2^2) + (g1*t^8.73*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
933 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_1M_6$ | 0.7226 | 0.8888 | 0.8131 | [X:[], M:[1.0234, 0.7968, 0.9766, 0.8437, 1.0, 0.9766], q:[0.5, 0.4766], qb:[0.5234, 0.6798], phi:[0.4551]] | t^2.39 + t^2.53 + t^2.73 + 2*t^2.93 + t^3. + t^3.54 + t^4.22 + t^4.29 + 2*t^4.37 + t^4.44 + t^4.51 + t^4.78 + t^4.83 + t^4.9 + t^4.92 + t^4.97 + t^5.06 + t^5.12 + t^5.26 + 2*t^5.32 + t^5.44 + 2*t^5.46 + 2*t^5.66 + t^5.73 + 2*t^5.86 + t^5.93 - 3*t^6. - t^4.37/y - t^4.37*y | detail | |
930 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_2\phi_1^2$ | 0.6972 | 0.855 | 0.8154 | [X:[], M:[0.949, 1.017, 1.051, 0.915, 1.0], q:[0.5, 0.551], qb:[0.449, 0.534], phi:[0.4915]] | t^2.75 + t^2.85 + t^2.95 + t^3. + t^3.05 + t^3.1 + t^3.15 + t^4.17 + t^4.32 + t^4.42 + 2*t^4.47 + t^4.58 + t^4.63 + t^4.68 + t^4.73 + t^4.78 + t^5.49 + t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail | |
932 | $M_1q_1q_2$ + $ 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_1M_3$ + $ M_6q_1\tilde{q}_2$ | 0.7378 | 0.9171 | 0.8045 | [X:[], M:[1.0, 0.7895, 1.0, 0.7895, 1.0, 0.7895], q:[0.5, 0.5], qb:[0.5, 0.7105], phi:[0.4474]] | 3*t^2.37 + t^2.68 + 3*t^3. + 6*t^4.34 + 6*t^4.74 + 3*t^4.97 + 3*t^5.05 + 7*t^5.37 + t^5.61 + 3*t^5.68 - 4*t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
369 | 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$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |