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 |
---|---|---|---|---|---|---|---|---|---|
427 | 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_4\phi_1q_2^2$ + $ M_1M_4$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | [X:[], M:[[8], [-4], [10], [-8]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3^2$, $ M_4q_1q_2$ | . | -1 | t^2.58 + t^2.71 + t^2.77 + t^3.29 + t^3.35 + t^3.42 + t^3.87 + t^3.94 + t^4. + t^4.06 + t^4.45 + t^4.58 + t^4.71 + t^5.16 + t^5.29 + t^5.42 + t^5.55 + t^5.94 - t^6. + t^6.06 + t^6.13 + t^6.19 + t^6.45 + t^6.58 + t^6.65 + t^6.71 + 2*t^6.77 + t^6.84 + t^7.04 + 2*t^7.16 + t^7.23 + 2*t^7.29 + t^7.35 + 2*t^7.42 + t^7.48 + 2*t^7.75 + t^7.81 + 2*t^7.87 + t^7.94 + t^8. + 2*t^8.13 + t^8.32 + t^8.33 + t^8.39 + t^8.45 + t^8.52 - t^8.58 - t^8.71 - t^8.77 + t^8.9 + t^8.91 + t^8.96 - t^4.35/y - t^7.13/y + t^7.58/y + t^8.29/y + t^8.35/y + t^8.48/y + t^8.87/y + t^8.94/y - t^4.35*y - t^7.13*y + t^7.58*y + t^8.29*y + t^8.35*y + t^8.48*y + t^8.87*y + t^8.94*y | t^2.58/g1^8 + g1^4*t^2.71 + g1^10*t^2.77 + t^3.29/g1^4 + g1^2*t^3.35 + g1^8*t^3.42 + t^3.87/g1^12 + t^3.94/g1^6 + t^4. + g1^6*t^4.06 + t^4.45/g1^20 + t^4.58/g1^8 + g1^4*t^4.71 + t^5.16/g1^16 + t^5.29/g1^4 + g1^8*t^5.42 + g1^20*t^5.55 + t^5.94/g1^6 - t^6. + g1^6*t^6.06 + g1^12*t^6.13 + g1^18*t^6.19 + t^6.45/g1^20 + t^6.58/g1^8 + t^6.65/g1^2 + g1^4*t^6.71 + 2*g1^10*t^6.77 + g1^16*t^6.84 + t^7.04/g1^28 + (2*t^7.16)/g1^16 + t^7.23/g1^10 + (2*t^7.29)/g1^4 + g1^2*t^7.35 + 2*g1^8*t^7.42 + g1^14*t^7.48 + (2*t^7.75)/g1^24 + t^7.81/g1^18 + (2*t^7.87)/g1^12 + t^7.94/g1^6 + t^8. + 2*g1^12*t^8.13 + g1^30*t^8.32 + t^8.33/g1^32 + t^8.39/g1^26 + t^8.45/g1^20 + t^8.52/g1^14 - t^8.58/g1^8 - g1^4*t^8.71 - g1^10*t^8.77 + g1^22*t^8.9 + t^8.91/g1^40 + g1^28*t^8.96 - (g1^2*t^4.35)/y - (g1^12*t^7.13)/y + t^7.58/(g1^8*y) + t^8.29/(g1^4*y) + (g1^2*t^8.35)/y + (g1^14*t^8.48)/y + t^8.87/(g1^12*y) + t^8.94/(g1^6*y) - g1^2*t^4.35*y - g1^12*t^7.13*y + (t^7.58*y)/g1^8 + (t^8.29*y)/g1^4 + g1^2*t^8.35*y + g1^14*t^8.48*y + (t^8.87*y)/g1^12 + (t^8.94*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
711 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ | 0.6503 | 0.8006 | 0.8123 | [X:[], M:[1.1584, 1.0875, 0.948, 0.8416, 0.8416], q:[0.7719, 0.3511], qb:[0.4905, 0.5615], phi:[0.4563]] | 2*t^2.52 + t^2.74 + t^2.84 + t^3.26 + t^3.37 + t^3.79 + t^3.89 + t^4. + t^4.11 + t^4.31 + t^4.52 + t^4.74 + 3*t^5.05 + 2*t^5.26 + t^5.37 + t^5.48 + t^5.69 + t^5.79 + 2*t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
715 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_3^2$ | 0.6302 | 0.7718 | 0.8165 | [X:[], M:[1.2, 1.0667, 1.0, 0.8], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 2*t^4.8 + t^5.2 + t^5.6 + t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 3781/6000, c: 4631/6000, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
712 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.658 | 0.8173 | 0.8051 | [X:[], M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | t^2.06 + t^2.59 + t^2.71 + t^2.76 + t^3.29 + t^3.35 + t^3.41 + t^3.88 + t^4. + t^4.06 + t^4.12 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.76 + t^4.82 + t^5.18 + t^5.29 + t^5.35 + 2*t^5.41 + t^5.47 + t^5.53 + 2*t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail | |
713 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1q_2$ | 0.648 | 0.7954 | 0.8147 | [X:[], M:[1.1448, 1.0943, 0.931, 0.8552, 0.8805], q:[0.7736, 0.346], qb:[0.5093, 0.5598], phi:[0.4529]] | t^2.57 + t^2.64 + t^2.72 + t^2.79 + t^3.28 + t^3.43 + t^3.85 + t^3.92 + t^4. + t^4.08 + t^4.41 + t^4.57 + t^4.72 + t^5.13 + t^5.21 + 2*t^5.28 + t^5.36 + 2*t^5.43 + t^5.59 + t^5.92 - t^6. - t^4.36/y - t^4.36*y | detail | |
1845 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6577 | 0.8161 | 0.8059 | [X:[], M:[1.1325, 1.1004, 0.9156, 0.8675, 0.6987], q:[0.7751, 0.3414], qb:[0.5262, 0.5582], phi:[0.4498]] | t^2.1 + t^2.6 + t^2.7 + t^2.75 + t^3.3 + t^3.35 + t^3.4 + t^3.95 + t^4. + t^4.05 + t^4.19 + t^4.51 + t^4.6 + 2*t^4.7 + t^4.79 + t^4.84 + t^5.21 + t^5.3 + 2*t^5.4 + t^5.45 + 2*t^5.49 + t^5.95 - t^6. - t^4.35/y - t^4.35*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
266 | 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_4\phi_1q_2^2$ | 0.6704 | 0.8232 | 0.8144 | [X:[], M:[0.9756, 1.1208, 0.9809, 0.6759], q:[0.7802, 0.4423], qb:[0.5821, 0.437], phi:[0.4396]] | t^2.03 + t^2.64 + t^2.93 + t^2.94 + t^3.36 + t^3.65 + t^3.67 + t^3.94 + t^3.96 + t^4.06 + t^4.09 + t^4.38 + t^4.39 + t^4.67 + t^4.81 + t^4.95 + t^4.97 + t^5.28 + t^5.39 + t^5.68 + t^5.69 + t^5.85 + t^5.87 + t^5.89 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail |