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 |
---|---|---|---|---|---|---|---|---|---|
46609 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_2$ | 0.5972 | 0.7561 | 0.7898 | [X:[1.3731, 1.3384], M:[0.6269, 0.6616, 1.0, 0.7462], q:[0.7712, 0.6019], qb:[0.5673, 0.2288], phi:[0.4577]] | [X:[[-6], [16]], M:[[6], [-16], [0], [-12]], q:[[1], [-7]], qb:[[15], [-1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ X_2$, $ X_1$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ M_3M_4$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_2^2$ | . | -2 | t^2.24 + t^2.39 + t^2.49 + 2*t^2.75 + t^3. + t^3.51 + t^3.87 + t^4.02 + t^4.12 + t^4.48 + t^4.63 + t^4.73 + 2*t^4.78 + t^4.88 + 3*t^4.98 + 2*t^5.13 + 3*t^5.24 + t^5.39 + 4*t^5.49 + 2*t^5.75 - 2*t^6. + 2*t^6.25 + t^6.36 + t^6.4 + t^6.51 + 2*t^6.61 + t^6.72 + 2*t^6.87 + t^6.97 + 2*t^7.02 + 2*t^7.16 + 3*t^7.22 + t^7.37 + 3*t^7.48 + 4*t^7.52 + t^7.63 + 6*t^7.73 + t^7.78 + 3*t^7.88 + 6*t^7.98 + t^8.13 + 3*t^8.24 + t^8.28 - 3*t^8.39 + t^8.6 - 6*t^8.75 + 2*t^8.79 + t^8.85 + t^8.9 + t^8.95 - t^4.37/y - t^6.61/y - t^7.12/y + (2*t^7.63)/y + t^7.73/y + t^7.88/y + (2*t^7.98)/y + (3*t^8.13)/y + (3*t^8.24)/y + t^8.39/y + (2*t^8.49)/y + (3*t^8.75)/y - t^8.85/y + t^8.9/y - t^4.37*y - t^6.61*y - t^7.12*y + 2*t^7.63*y + t^7.73*y + t^7.88*y + 2*t^7.98*y + 3*t^8.13*y + 3*t^8.24*y + t^8.39*y + 2*t^8.49*y + 3*t^8.75*y - t^8.85*y + t^8.9*y | t^2.24/g1^12 + g1^14*t^2.39 + t^2.49/g1^8 + (2*t^2.75)/g1^4 + t^3. + g1^8*t^3.51 + t^3.87/g1^10 + g1^16*t^4.02 + t^4.12/g1^6 + t^4.48/g1^24 + g1^2*t^4.63 + t^4.73/g1^20 + 2*g1^28*t^4.78 + g1^6*t^4.88 + (3*t^4.98)/g1^16 + 2*g1^10*t^5.13 + (3*t^5.24)/g1^12 + g1^14*t^5.39 + (4*t^5.49)/g1^8 + (2*t^5.75)/g1^4 - 2*t^6. + 2*g1^4*t^6.25 + t^6.36/g1^18 + g1^30*t^6.4 + g1^8*t^6.51 + (2*t^6.61)/g1^14 + t^6.72/g1^36 + (2*t^6.87)/g1^10 + t^6.97/g1^32 + 2*g1^16*t^7.02 + 2*g1^42*t^7.16 + (3*t^7.22)/g1^28 + t^7.37/g1^2 + (3*t^7.48)/g1^24 + 4*g1^24*t^7.52 + g1^2*t^7.63 + (6*t^7.73)/g1^20 + g1^28*t^7.78 + 3*g1^6*t^7.88 + (6*t^7.98)/g1^16 + g1^10*t^8.13 + (3*t^8.24)/g1^12 + g1^36*t^8.28 - 3*g1^14*t^8.39 + t^8.6/g1^30 - (6*t^8.75)/g1^4 + 2*g1^44*t^8.79 + t^8.85/g1^26 + g1^22*t^8.9 + t^8.95/g1^48 - t^4.37/(g1^2*y) - t^6.61/(g1^14*y) - t^7.12/(g1^6*y) + (2*g1^2*t^7.63)/y + t^7.73/(g1^20*y) + (g1^6*t^7.88)/y + (2*t^7.98)/(g1^16*y) + (3*g1^10*t^8.13)/y + (3*t^8.24)/(g1^12*y) + (g1^14*t^8.39)/y + (2*t^8.49)/(g1^8*y) + (3*t^8.75)/(g1^4*y) - t^8.85/(g1^26*y) + (g1^22*t^8.9)/y - (t^4.37*y)/g1^2 - (t^6.61*y)/g1^14 - (t^7.12*y)/g1^6 + 2*g1^2*t^7.63*y + (t^7.73*y)/g1^20 + g1^6*t^7.88*y + (2*t^7.98*y)/g1^16 + 3*g1^10*t^8.13*y + (3*t^8.24*y)/g1^12 + g1^14*t^8.39*y + (2*t^8.49*y)/g1^8 + (3*t^8.75*y)/g1^4 - (t^8.85*y)/g1^26 + g1^22*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 |
---|---|---|---|---|---|---|---|---|
46983 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_2$ + $ M_5\phi_1^2$ | 0.5895 | 0.7432 | 0.7932 | [X:[1.3776, 1.3265], M:[0.6224, 0.6735, 1.0, 0.7551, 1.0816], q:[0.7704, 0.6072], qb:[0.5561, 0.2296], phi:[0.4592]] | t^2.27 + t^2.36 + t^2.51 + t^2.76 + t^3. + t^3.24 + t^3.49 + t^3.89 + t^3.98 + t^4.13 + t^4.53 + t^4.62 + 2*t^4.71 + t^4.78 + t^4.87 + 2*t^5.02 + t^5.11 + 2*t^5.27 + t^5.36 + 3*t^5.51 + t^5.6 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
46102 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.599 | 0.7629 | 0.7852 | [X:[1.3787], M:[0.6213, 0.6765, 1.0], q:[0.7702, 0.6085], qb:[0.5533, 0.2298], phi:[0.4596]] | t^2.03 + t^2.35 + t^2.51 + 2*t^2.76 + t^3. + t^3.49 + t^3.73 + t^3.89 + t^4.06 + t^4.14 + t^4.38 + t^4.54 + 2*t^4.7 + 2*t^4.79 + t^4.86 + 2*t^5.03 + 2*t^5.11 + 2*t^5.27 + t^5.35 + 5*t^5.51 + 2*t^5.76 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*y | detail |