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 |
---|---|---|---|---|---|---|---|---|---|
50917 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.5847 | 0.7249 | 0.8065 | [X:[], M:[1.2444, 0.7331, 0.7556, 0.926, 1.1704, 1.0], q:[0.463, 0.2926], qb:[0.8039, 0.7813], phi:[0.4148]] | [X:[], M:[[6], [18], [-6], [-10], [-4], [0]], q:[[-5], [-1]], qb:[[-13], [11]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_4$, $ M_6$, $ q_2\tilde{q}_1$, $ M_5$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_6$, $ M_3M_6$, $ M_4^2$, $ M_3q_2\tilde{q}_1$, $ M_2M_5$, $ M_3M_5$, $ M_4M_6$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$ | . | -1 | t^2.2 + t^2.27 + t^2.78 + t^3. + t^3.29 + 2*t^3.51 + t^3.73 + t^4.02 + t^4.4 + t^4.47 + t^4.53 + t^4.76 + t^4.98 + t^5.05 + t^5.2 + t^5.27 + 2*t^5.56 + t^5.71 + 2*t^5.78 + t^5.93 - t^6. + t^6.07 + 3*t^6.29 + t^6.51 + t^6.58 + t^6.6 + t^6.67 + 3*t^6.8 + 2*t^7.02 + t^7.18 + t^7.31 + t^7.4 + t^7.47 + 2*t^7.53 + t^7.76 + 2*t^7.82 + t^7.91 + 3*t^8.05 + t^8.13 - t^8.2 - t^8.27 + 2*t^8.33 + t^8.49 + 2*t^8.56 - 2*t^8.78 + t^8.8 + 2*t^8.85 + t^8.86 - t^4.24/y - t^6.44/y - t^7.02/y + (2*t^7.47)/y + t^7.98/y + (2*t^8.05)/y + t^8.2/y + t^8.27/y + t^8.49/y + t^8.56/y - t^8.64/y + (2*t^8.71)/y + (3*t^8.78)/y + t^8.93/y - t^4.24*y - t^6.44*y - t^7.02*y + 2*t^7.47*y + t^7.98*y + 2*t^8.05*y + t^8.2*y + t^8.27*y + t^8.49*y + t^8.56*y - t^8.64*y + 2*t^8.71*y + 3*t^8.78*y + t^8.93*y | g1^18*t^2.2 + t^2.27/g1^6 + t^2.78/g1^10 + t^3. + t^3.29/g1^14 + (2*t^3.51)/g1^4 + g1^6*t^3.73 + t^4.02/g1^8 + g1^36*t^4.4 + g1^12*t^4.47 + t^4.53/g1^12 + t^4.76/g1^2 + g1^8*t^4.98 + t^5.05/g1^16 + g1^18*t^5.2 + t^5.27/g1^6 + (2*t^5.56)/g1^20 + g1^14*t^5.71 + (2*t^5.78)/g1^10 + g1^24*t^5.93 - t^6. + t^6.07/g1^24 + (3*t^6.29)/g1^14 + t^6.51/g1^4 + t^6.58/g1^28 + g1^54*t^6.6 + g1^30*t^6.67 + (3*t^6.8)/g1^18 + (2*t^7.02)/g1^8 + g1^26*t^7.18 + t^7.31/g1^22 + g1^36*t^7.4 + g1^12*t^7.47 + (2*t^7.53)/g1^12 + t^7.76/g1^2 + (2*t^7.82)/g1^26 + g1^32*t^7.91 + (3*t^8.05)/g1^16 + g1^42*t^8.13 - g1^18*t^8.2 - t^8.27/g1^6 + (2*t^8.33)/g1^30 + g1^4*t^8.49 + (2*t^8.56)/g1^20 - (2*t^8.78)/g1^10 + g1^72*t^8.8 + (2*t^8.85)/g1^34 + g1^48*t^8.86 - (g1^2*t^4.24)/y - (g1^20*t^6.44)/y - t^7.02/(g1^8*y) + (2*g1^12*t^7.47)/y + (g1^8*t^7.98)/y + (2*t^8.05)/(g1^16*y) + (g1^18*t^8.2)/y + t^8.27/(g1^6*y) + (g1^4*t^8.49)/y + t^8.56/(g1^20*y) - (g1^38*t^8.64)/y + (2*g1^14*t^8.71)/y + (3*t^8.78)/(g1^10*y) + (g1^24*t^8.93)/y - g1^2*t^4.24*y - g1^20*t^6.44*y - (t^7.02*y)/g1^8 + 2*g1^12*t^7.47*y + g1^8*t^7.98*y + (2*t^8.05*y)/g1^16 + g1^18*t^8.2*y + (t^8.27*y)/g1^6 + g1^4*t^8.49*y + (t^8.56*y)/g1^20 - g1^38*t^8.64*y + 2*g1^14*t^8.71*y + (3*t^8.78*y)/g1^10 + g1^24*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
56303 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_1M_7$ | 0.6035 | 0.7595 | 0.7946 | [X:[], M:[1.248, 0.7441, 0.752, 0.92, 1.168, 1.0, 0.752], q:[0.46, 0.292], qb:[0.796, 0.788], phi:[0.416]] | t^2.23 + 2*t^2.26 + t^2.76 + t^3. + t^3.26 + 2*t^3.5 + t^4.01 + t^4.46 + 2*t^4.49 + 3*t^4.51 + t^4.75 + t^4.99 + 2*t^5.02 + t^5.23 + 2*t^5.26 + 3*t^5.52 + t^5.74 + 4*t^5.76 - 2*t^6. - t^4.25/y - t^4.25*y | detail | |
56302 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_7q_2\tilde{q}_1$ | 0.595 | 0.7426 | 0.8012 | [X:[], M:[1.2286, 0.6859, 0.7714, 0.9523, 1.1809, 1.0, 0.8668], q:[0.4761, 0.2952], qb:[0.8379, 0.7525], phi:[0.4095]] | t^2.06 + t^2.31 + t^2.6 + t^2.86 + t^3. + 2*t^3.54 + t^3.69 + t^4.09 + t^4.12 + t^4.37 + t^4.63 + t^4.66 + t^4.77 + 2*t^4.91 + t^5.06 + t^5.17 + t^5.2 + t^5.31 + 2*t^5.6 + t^5.71 + t^5.74 + 2*t^5.86 - t^6. - t^4.23/y - t^4.23*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 |
---|---|---|---|---|---|---|---|---|---|
47025 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.6388 | 0.7919 | 0.8066 | [X:[], M:[1.147, 0.7449, 0.853, 0.7844, 1.2353, 0.696], q:[0.3922, 0.4608], qb:[0.8629, 0.7548], phi:[0.3823]] | t^2.09 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^3.97 + t^4.18 + t^4.32 + t^4.44 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.91 + t^5.12 + t^5.53 + t^5.59 + t^5.68 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail |