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 |
---|---|---|---|---|---|---|---|---|---|
2838 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6123 | 0.7936 | 0.7715 | [X:[], M:[0.9508, 1.1475, 1.0492, 0.7212, 0.8525], q:[0.7377, 0.3115], qb:[0.4427, 0.4098], phi:[0.5246]] | [X:[], M:[[-4], [12], [4], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_5\phi_1q_2^2$ | -1 | 2*t^2.16 + t^2.26 + t^2.56 + 2*t^3.15 + 2*t^3.44 + t^3.54 + t^3.74 + t^4.03 + t^4.13 + t^4.23 + 3*t^4.33 + 2*t^4.43 + t^4.53 + 2*t^4.72 + t^4.82 + t^5.12 + 4*t^5.31 + 2*t^5.41 + 3*t^5.61 + 4*t^5.71 + t^5.8 + t^5.9 - t^6. + 2*t^6.2 + 3*t^6.29 + t^6.39 + 5*t^6.49 + 6*t^6.59 + 3*t^6.69 + 2*t^6.79 + 5*t^6.88 + t^6.98 + t^7.08 + 2*t^7.18 + t^7.28 + 2*t^7.38 + 7*t^7.47 + 2*t^7.57 + 3*t^7.67 + 6*t^7.77 + 4*t^7.87 + 2*t^7.97 + 2*t^8.06 + t^8.07 - 3*t^8.16 + 4*t^8.36 + 5*t^8.46 + 5*t^8.65 + t^8.66 + 8*t^8.75 + t^8.76 + 5*t^8.85 + 3*t^8.95 - t^4.57/y - t^6.74/y + t^7.33/y + (3*t^7.43)/y + t^7.72/y + t^7.82/y + (4*t^8.31)/y + (3*t^8.41)/y + (4*t^8.61)/y + (6*t^8.71)/y + t^8.8/y + t^8.9/y - t^4.57*y - t^6.74*y + t^7.33*y + 3*t^7.43*y + t^7.72*y + t^7.82*y + 4*t^8.31*y + 3*t^8.41*y + 4*t^8.61*y + 6*t^8.71*y + t^8.8*y + t^8.9*y | 2*g1^18*t^2.16 + t^2.26/g1^20 + t^2.56/g1^12 + 2*g1^4*t^3.15 + 2*g1^12*t^3.44 + t^3.54/g1^26 + g1^20*t^3.74 + g1^28*t^4.03 + t^4.13/g1^10 + t^4.23/g1^48 + 3*g1^36*t^4.33 + (2*t^4.43)/g1^2 + t^4.53/g1^40 + 2*g1^6*t^4.72 + t^4.82/g1^32 + t^5.12/g1^24 + 4*g1^22*t^5.31 + (2*t^5.41)/g1^16 + 3*g1^30*t^5.61 + (4*t^5.71)/g1^8 + t^5.8/g1^46 + g1^38*t^5.9 - t^6. + 2*g1^46*t^6.2 + 3*g1^8*t^6.29 + t^6.39/g1^30 + t^6.49/g1^68 + 4*g1^54*t^6.49 + 6*g1^16*t^6.59 + (3*t^6.69)/g1^22 + (2*t^6.79)/g1^60 + 5*g1^24*t^6.88 + t^6.98/g1^14 + t^7.08/g1^52 + 2*g1^32*t^7.18 + t^7.28/g1^6 + (2*t^7.38)/g1^44 + 7*g1^40*t^7.47 + 2*g1^2*t^7.57 + (3*t^7.67)/g1^36 + t^7.77/g1^74 + 5*g1^48*t^7.77 + 4*g1^10*t^7.87 + (2*t^7.97)/g1^28 + 2*g1^56*t^8.06 + t^8.07/g1^66 - 3*g1^18*t^8.16 + t^8.36/g1^58 + 3*g1^64*t^8.36 + t^8.46/g1^96 + 4*g1^26*t^8.46 + 5*g1^72*t^8.65 + t^8.66/g1^50 + 8*g1^34*t^8.75 + t^8.76/g1^88 + (5*t^8.85)/g1^4 + (3*t^8.95)/g1^42 - (g1^2*t^4.57)/y - (g1^20*t^6.74)/y + (g1^36*t^7.33)/y + (3*t^7.43)/(g1^2*y) + (g1^6*t^7.72)/y + t^7.82/(g1^32*y) + (4*g1^22*t^8.31)/y + (3*t^8.41)/(g1^16*y) + (4*g1^30*t^8.61)/y + (6*t^8.71)/(g1^8*y) + t^8.8/(g1^46*y) + (g1^38*t^8.9)/y - g1^2*t^4.57*y - g1^20*t^6.74*y + g1^36*t^7.33*y + (3*t^7.43*y)/g1^2 + g1^6*t^7.72*y + (t^7.82*y)/g1^32 + 4*g1^22*t^8.31*y + (3*t^8.41*y)/g1^16 + 4*g1^30*t^8.61*y + (6*t^8.71*y)/g1^8 + (t^8.8*y)/g1^46 + g1^38*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
3388 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_5M_6$ | 0.5996 | 0.7724 | 0.7763 | [X:[], M:[0.953, 1.1411, 1.047, 0.7116, 0.8589, 1.1411], q:[0.7382, 0.3088], qb:[0.4561, 0.4028], phi:[0.5235]] | 2*t^2.13 + t^2.29 + 2*t^3.14 + 3*t^3.42 + t^3.58 + t^3.71 + t^3.99 + t^4.15 + 3*t^4.27 + t^4.31 + 2*t^4.43 + t^4.59 + 4*t^5.28 + 2*t^5.44 + 5*t^5.56 + 3*t^5.72 + t^5.84 + t^5.88 - 3*t^6. - t^4.57/y - t^4.57*y | detail | |
3389 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6283 | 0.8228 | 0.7636 | [X:[], M:[0.9544, 1.1368, 1.0456, 0.7052, 0.8632, 0.7964], q:[0.7386, 0.307], qb:[0.465, 0.3982], phi:[0.5228]] | 2*t^2.12 + t^2.32 + t^2.39 + t^2.59 + 2*t^3.14 + 2*t^3.41 + t^3.68 + t^3.96 + t^4.16 + 3*t^4.23 + t^4.36 + 2*t^4.43 + 2*t^4.5 + t^4.63 + 3*t^4.71 + t^4.78 + t^4.91 + t^4.98 + t^5.18 + 4*t^5.25 + 2*t^5.45 + 5*t^5.53 + 2*t^5.73 + 3*t^5.8 - t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
1820 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6244 | 0.811 | 0.77 | [X:[], M:[0.9923, 1.0232, 1.0077, 0.7496, 0.7621], q:[0.7481, 0.2597], qb:[0.4869, 0.4899], phi:[0.5039]] | t^2.24 + 2*t^2.25 + t^2.29 + 2*t^3.02 + 2*t^3.07 + t^3.7 + t^3.76 + t^4.43 + t^4.44 + t^4.45 + t^4.48 + 2*t^4.49 + 3*t^4.5 + 3*t^4.53 + t^4.57 + 2*t^5.26 + 4*t^5.27 + 3*t^5.31 + 3*t^5.32 + 2*t^5.36 + t^5.94 + t^5.95 - 3*t^6. - t^4.51/y - t^4.51*y | detail |