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 |
---|---|---|---|---|---|---|---|---|---|
416 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ | 0.6597 | 0.7994 | 0.8252 | [X:[], M:[1.0, 1.1177, 0.9704, 0.8823], q:[0.7794, 0.4264], qb:[0.5736, 0.456], phi:[0.4412]] | [X:[], M:[[0], [4], [-18], [-4]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_3^2$ | . | -2 | 2*t^2.65 + t^2.91 + t^3. + t^3.62 + t^3.71 + t^3.88 + t^3.97 + 2*t^4.06 + t^4.32 + t^4.41 + t^4.77 + 3*t^5.29 + t^5.56 + t^5.65 + t^5.82 - 2*t^6. - t^6.09 + t^6.26 - t^6.44 + 3*t^6.53 + 3*t^6.62 + 3*t^6.71 + t^6.79 + t^6.88 + 2*t^6.97 + 2*t^7.06 + t^7.41 + t^7.5 + t^7.59 + t^7.68 + t^7.76 + t^7.77 + t^7.85 + 6*t^7.94 + 2*t^8.03 + 2*t^8.12 + 2*t^8.21 + t^8.29 + t^8.38 + 3*t^8.47 - t^8.56 - 4*t^8.65 + t^8.73 - 2*t^8.74 + 2*t^8.82 - t^8.91 - t^4.32/y - t^6.97/y - t^7.23/y + t^7.41/y + t^7.68/y + t^8.29/y + (2*t^8.56)/y + (2*t^8.65)/y + t^8.91/y - t^4.32*y - t^6.97*y - t^7.23*y + t^7.41*y + t^7.68*y + t^8.29*y + 2*t^8.56*y + 2*t^8.65*y + t^8.91*y | (2*t^2.65)/g1^4 + t^2.91/g1^18 + t^3. + t^3.62/g1^10 + g1^8*t^3.71 + t^3.88/g1^24 + t^3.97/g1^6 + 2*g1^12*t^4.06 + t^4.32/g1^2 + g1^16*t^4.41 + g1^20*t^4.77 + (3*t^5.29)/g1^8 + t^5.56/g1^22 + t^5.65/g1^4 + t^5.82/g1^36 - 2*t^6. - g1^18*t^6.09 + t^6.26/g1^14 - g1^22*t^6.44 + (3*t^6.53)/g1^28 + (3*t^6.62)/g1^10 + 3*g1^8*t^6.71 + t^6.79/g1^42 + t^6.88/g1^24 + (2*t^6.97)/g1^6 + 2*g1^12*t^7.06 + g1^16*t^7.41 + t^7.5/g1^34 + t^7.59/g1^16 + g1^2*t^7.68 + t^7.76/g1^48 + g1^20*t^7.77 + t^7.85/g1^30 + (6*t^7.94)/g1^12 + 2*g1^6*t^8.03 + 2*g1^24*t^8.12 + (2*t^8.21)/g1^26 + t^8.29/g1^8 + g1^10*t^8.38 + t^8.47/g1^40 + 2*g1^28*t^8.47 - t^8.56/g1^22 - (4*t^8.65)/g1^4 + t^8.73/g1^54 - 2*g1^14*t^8.74 + 2*g1^32*t^8.82 - t^8.91/g1^18 - t^4.32/(g1^2*y) - t^6.97/(g1^6*y) - t^7.23/(g1^20*y) + (g1^16*t^7.41)/y + (g1^2*t^7.68)/y + t^8.29/(g1^8*y) + (2*t^8.56)/(g1^22*y) + (2*t^8.65)/(g1^4*y) + t^8.91/(g1^18*y) - (t^4.32*y)/g1^2 - (t^6.97*y)/g1^6 - (t^7.23*y)/g1^20 + g1^16*t^7.41*y + g1^2*t^7.68*y + (t^8.29*y)/g1^8 + (2*t^8.56*y)/g1^22 + (2*t^8.65*y)/g1^4 + (t^8.91*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
682 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_3M_4$ | 0.6483 | 0.7847 | 0.8262 | [X:[], M:[1.0, 1.0909, 1.0909, 0.9091], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 2*t^2.73 + t^3. + t^3.27 + t^3.55 + 3*t^3.82 + 2*t^4.09 + 3*t^4.36 + 3*t^5.45 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 6903/10648, c: 8355/10648, M1: 1, M2: 12/11, M3: 12/11, M4: 10/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
683 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ | 0.6802 | 0.8389 | 0.8108 | [X:[], M:[1.0, 1.1152, 0.9814, 0.8848, 0.6914], q:[0.7788, 0.4331], qb:[0.5669, 0.4517], phi:[0.4424]] | t^2.07 + 2*t^2.65 + t^2.94 + t^3. + t^3.64 + t^3.69 + t^3.98 + 2*t^4.04 + t^4.15 + t^4.33 + t^4.38 + 3*t^4.73 + t^5.02 + t^5.07 + 3*t^5.31 + t^5.6 + t^5.65 + t^5.71 + t^5.77 + t^5.89 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
681 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6782 | 0.8333 | 0.8139 | [X:[], M:[1.0, 1.1204, 0.9582, 0.8796, 0.7592], q:[0.7801, 0.4189], qb:[0.5811, 0.4607], phi:[0.4398]] | t^2.28 + 2*t^2.64 + t^2.87 + t^3. + t^3.6 + t^3.83 + t^3.96 + 2*t^4.08 + t^4.32 + t^4.44 + t^4.56 + t^4.81 + 2*t^4.92 + t^5.15 + 4*t^5.28 + t^5.51 + t^5.64 + t^5.75 + t^5.87 - 2*t^6. - t^4.32/y - t^4.32*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 |
---|---|---|---|---|---|---|---|---|---|
263 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ | 0.6492 | 0.7814 | 0.8308 | [X:[], M:[1.0, 1.1152, 0.9817], q:[0.7788, 0.4333], qb:[0.5667, 0.4515], phi:[0.4424]] | t^2.65 + t^2.95 + t^3. + t^3.35 + t^3.64 + t^3.69 + t^3.93 + t^3.98 + 2*t^4.04 + t^4.33 + t^4.38 + t^4.73 + t^5.31 + t^5.89 - t^6. - t^4.33/y - t^4.33*y | detail |