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 |
---|---|---|---|---|---|---|---|---|---|
46870 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.6298 | 0.8198 | 0.7682 | [X:[], M:[0.7193, 0.6784, 1.0, 1.0409, 0.9182], q:[0.7602, 0.5205], qb:[0.5614, 0.2398], phi:[0.4795]] | [X:[], M:[[3], [7], [0], [-4], [8]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_5$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_5$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_5q_2\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_2M_4$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_2\phi_1q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_2^4$, $ M_4M_5$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $M_4\phi_1\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | 0 | t^2.04 + t^2.16 + t^2.28 + t^2.4 + t^2.75 + t^2.88 + t^3. + t^3.12 + t^3.72 + t^3.84 + t^4.07 + t^4.19 + 2*t^4.32 + 2*t^4.44 + 3*t^4.56 + 2*t^4.68 + t^4.79 + 2*t^4.81 + 2*t^4.91 + 2*t^5.04 + 3*t^5.16 + 3*t^5.28 + 2*t^5.4 + t^5.51 + t^5.53 + t^5.63 + 3*t^5.75 + 2*t^5.88 + t^6.11 + t^6.12 + t^6.23 + t^6.25 + 2*t^6.35 + 3*t^6.47 + 4*t^6.6 + 4*t^6.72 + t^6.83 + 4*t^6.84 + 2*t^6.95 + 3*t^6.96 + 3*t^7.07 + 2*t^7.09 + 4*t^7.19 + 2*t^7.21 + 5*t^7.32 + 5*t^7.44 + t^7.54 + 4*t^7.56 + 2*t^7.67 + 4*t^7.68 + 4*t^7.79 + 2*t^7.81 + 4*t^7.91 + t^7.93 + 2*t^8.04 + t^8.14 + t^8.16 + 2*t^8.26 + 3*t^8.39 - t^8.4 + 5*t^8.51 + 7*t^8.63 + t^8.65 + 3*t^8.75 + t^8.86 + 3*t^8.88 + 2*t^8.98 - t^4.44/y - t^6.47/y - t^6.6/y + t^7.32/y + (2*t^7.44)/y + t^7.56/y + (2*t^7.68)/y + t^7.79/y + (2*t^7.91)/y + (3*t^8.04)/y + (4*t^8.16)/y + (4*t^8.28)/y + (3*t^8.4)/y - t^8.51/y + t^8.53/y + t^8.75/y + (4*t^8.88)/y - t^4.44*y - t^6.47*y - t^6.6*y + t^7.32*y + 2*t^7.44*y + t^7.56*y + 2*t^7.68*y + t^7.79*y + 2*t^7.91*y + 3*t^8.04*y + 4*t^8.16*y + 4*t^8.28*y + 3*t^8.4*y - t^8.51*y + t^8.53*y + t^8.75*y + 4*t^8.88*y | g1^7*t^2.04 + g1^3*t^2.16 + t^2.28/g1 + t^2.4/g1^5 + g1^8*t^2.75 + g1^4*t^2.88 + t^3. + t^3.12/g1^4 + g1*t^3.72 + t^3.84/g1^3 + g1^14*t^4.07 + g1^10*t^4.19 + 2*g1^6*t^4.32 + 2*g1^2*t^4.44 + (3*t^4.56)/g1^2 + (2*t^4.68)/g1^6 + g1^15*t^4.79 + (2*t^4.81)/g1^10 + 2*g1^11*t^4.91 + 2*g1^7*t^5.04 + 3*g1^3*t^5.16 + (3*t^5.28)/g1 + (2*t^5.4)/g1^5 + g1^16*t^5.51 + t^5.53/g1^9 + g1^12*t^5.63 + 3*g1^8*t^5.75 + 2*g1^4*t^5.88 + g1^21*t^6.11 + t^6.12/g1^4 + g1^17*t^6.23 + t^6.25/g1^8 + 2*g1^13*t^6.35 + 3*g1^9*t^6.47 + 4*g1^5*t^6.6 + 4*g1*t^6.72 + g1^22*t^6.83 + (4*t^6.84)/g1^3 + 2*g1^18*t^6.95 + (3*t^6.96)/g1^7 + 3*g1^14*t^7.07 + (2*t^7.09)/g1^11 + 4*g1^10*t^7.19 + (2*t^7.21)/g1^15 + 5*g1^6*t^7.32 + 5*g1^2*t^7.44 + g1^23*t^7.54 + (4*t^7.56)/g1^2 + 2*g1^19*t^7.67 + (4*t^7.68)/g1^6 + 4*g1^15*t^7.79 + (2*t^7.81)/g1^10 + 4*g1^11*t^7.91 + t^7.93/g1^14 + 2*g1^7*t^8.04 + g1^28*t^8.14 + g1^3*t^8.16 + 2*g1^24*t^8.26 + 3*g1^20*t^8.39 - t^8.4/g1^5 + 5*g1^16*t^8.51 + 7*g1^12*t^8.63 + t^8.65/g1^13 + 3*g1^8*t^8.75 + g1^29*t^8.86 + 3*g1^4*t^8.88 + 2*g1^25*t^8.98 - (g1^2*t^4.44)/y - (g1^9*t^6.47)/y - (g1^5*t^6.6)/y + (g1^6*t^7.32)/y + (2*g1^2*t^7.44)/y + t^7.56/(g1^2*y) + (2*t^7.68)/(g1^6*y) + (g1^15*t^7.79)/y + (2*g1^11*t^7.91)/y + (3*g1^7*t^8.04)/y + (4*g1^3*t^8.16)/y + (4*t^8.28)/(g1*y) + (3*t^8.4)/(g1^5*y) - (g1^16*t^8.51)/y + t^8.53/(g1^9*y) + (g1^8*t^8.75)/y + (4*g1^4*t^8.88)/y - g1^2*t^4.44*y - g1^9*t^6.47*y - g1^5*t^6.6*y + g1^6*t^7.32*y + 2*g1^2*t^7.44*y + (t^7.56*y)/g1^2 + (2*t^7.68*y)/g1^6 + g1^15*t^7.79*y + 2*g1^11*t^7.91*y + 3*g1^7*t^8.04*y + 4*g1^3*t^8.16*y + (4*t^8.28*y)/g1 + (3*t^8.4*y)/g1^5 - g1^16*t^8.51*y + (t^8.53*y)/g1^9 + g1^8*t^8.75*y + 4*g1^4*t^8.88*y |
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 |
---|---|---|---|---|---|---|---|---|
55095 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ | 0.6097 | 0.7822 | 0.7795 | [X:[], M:[0.7216, 0.6837, 1.0, 1.0379, 0.9243, 1.2784], q:[0.7595, 0.5189], qb:[0.5568, 0.2405], phi:[0.4811]] | t^2.05 + t^2.28 + t^2.39 + t^2.77 + t^2.89 + t^3. + t^3.11 + t^3.72 + 2*t^3.84 + t^4.1 + t^4.33 + t^4.44 + 2*t^4.56 + 2*t^4.67 + 2*t^4.78 + t^4.82 + t^4.94 + t^5.05 + 2*t^5.16 + 2*t^5.28 + 2*t^5.39 + t^5.51 + t^5.55 + t^5.66 + 3*t^5.77 + 2*t^5.89 - t^6. - t^4.44/y - t^4.44*y | detail | |
55080 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6499 | 0.8578 | 0.7576 | [X:[], M:[0.7172, 0.6735, 1.0, 1.0437, 0.9126, 0.7172], q:[0.7609, 0.5219], qb:[0.5656, 0.2391], phi:[0.4781]] | t^2.02 + 2*t^2.15 + t^2.28 + t^2.41 + t^2.74 + t^2.87 + t^3. + t^3.13 + t^3.72 + t^4.04 + 2*t^4.17 + 4*t^4.3 + 3*t^4.43 + 4*t^4.57 + 2*t^4.7 + t^4.76 + 2*t^4.83 + 3*t^4.89 + 3*t^5.02 + 4*t^5.15 + 4*t^5.28 + 2*t^5.41 + t^5.48 + t^5.55 + t^5.61 + 3*t^5.74 + 2*t^5.87 - t^6. - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
46639 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ | 0.6247 | 0.8113 | 0.77 | [X:[], M:[0.7396, 0.7258, 1.0, 1.0138], q:[0.7535, 0.5069], qb:[0.5207, 0.2465], phi:[0.4931]] | t^2.18 + t^2.22 + t^2.26 + t^2.3 + t^2.96 + t^3. + t^3.04 + t^3.08 + t^3.74 + t^3.78 + t^4.35 + t^4.4 + 2*t^4.44 + 2*t^4.48 + 3*t^4.52 + 2*t^4.56 + 2*t^4.6 + t^5.14 + t^5.18 + 2*t^5.22 + 4*t^5.26 + 3*t^5.3 + 2*t^5.34 + t^5.38 + 2*t^5.92 + t^5.96 - t^4.48/y - t^4.48*y | detail |