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 |
|---|---|---|---|---|---|---|---|---|---|
| 4018 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ | 0.6742 | 0.8439 | 0.7989 | [X:[], M:[1.179, 1.0947, 0.9897, 1.0, 0.821, 0.7366, 0.716, 1.0103], q:[0.7737, 0.4156], qb:[0.4053, 0.5947], phi:[0.4527]] | [X:[], M:[[-3], [4], [-11], [0], [3], [10], [-12], [11]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 | {a: 1165/1728, c: 4375/5184, M1: 191/162, M2: 266/243, M3: 481/486, M4: 1, M5: 133/162, M6: 179/243, M7: 58/81, M8: 491/486, q1: 188/243, q2: 101/243, qb1: 197/486, qb2: 289/486, phi1: 110/243} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_5$, $ M_4$, $ M_8$, $ M_2$, $ M_1$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_7^2$, $ M_6M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_5M_7$, $ M_5M_6$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_7M_8$, $ M_4M_6$, $ M_6M_8$, $ M_2M_6$, $ M_5M_8$, $ M_1M_7$, $ M_7q_1q_2$, $ M_2M_5$, $ M_1M_6$, $ M_6q_1q_2$ | . | -1 | t^2.15 + t^2.21 + t^2.46 + t^3. + t^3.03 + t^3.28 + t^3.54 + t^3.57 + t^3.82 + t^4.1 + t^4.3 + 2*t^4.36 + t^4.39 + t^4.42 + t^4.61 + t^4.67 + 2*t^4.93 + t^5.15 + t^5.18 + t^5.21 + t^5.24 + 2*t^5.49 + t^5.69 + t^5.72 + 2*t^5.75 + t^5.78 - t^6. + 2*t^6.03 + t^6.06 + t^6.28 + 2*t^6.31 + t^6.44 + 2*t^6.51 + 4*t^6.57 + 2*t^6.6 + t^6.63 + t^6.76 - t^6.79 + t^6.82 + 2*t^6.85 + t^6.88 + t^7.07 + t^7.1 + 3*t^7.14 + t^7.3 + 4*t^7.39 + 2*t^7.42 + t^7.45 + 2*t^7.64 + t^7.67 + 2*t^7.7 + t^7.83 + t^7.86 + 2*t^7.93 + 4*t^7.96 + t^7.99 - t^8.15 + t^8.21 + 2*t^8.24 + t^8.27 - t^8.46 + 2*t^8.49 + 3*t^8.52 + t^8.59 + 2*t^8.65 + 2*t^8.72 + t^8.75 + 5*t^8.78 + 2*t^8.81 + t^8.84 + t^8.91 - t^8.94 - t^4.36/y - t^6.51/y - t^6.57/y + t^7.36/y + t^7.61/y + t^7.67/y + (2*t^8.15)/y + t^8.18/y + (2*t^8.21)/y + t^8.24/y + t^8.43/y + t^8.46/y + (2*t^8.49)/y - t^8.65/y + t^8.69/y + (2*t^8.75)/y + t^8.97/y - t^4.36*y - t^6.51*y - t^6.57*y + t^7.36*y + t^7.61*y + t^7.67*y + 2*t^8.15*y + t^8.18*y + 2*t^8.21*y + t^8.24*y + t^8.43*y + t^8.46*y + 2*t^8.49*y - t^8.65*y + t^8.69*y + 2*t^8.75*y + t^8.97*y | t^2.15/g1^12 + g1^10*t^2.21 + g1^3*t^2.46 + t^3. + g1^11*t^3.03 + g1^4*t^3.28 + t^3.54/g1^3 + g1^8*t^3.57 + g1*t^3.82 + g1^5*t^4.1 + t^4.3/g1^24 + (2*t^4.36)/g1^2 + g1^9*t^4.39 + g1^20*t^4.42 + t^4.61/g1^9 + g1^13*t^4.67 + 2*g1^6*t^4.93 + t^5.15/g1^12 + t^5.18/g1 + g1^10*t^5.21 + g1^21*t^5.24 + 2*g1^14*t^5.49 + t^5.69/g1^15 + t^5.72/g1^4 + 2*g1^7*t^5.75 + g1^18*t^5.78 - t^6. + 2*g1^11*t^6.03 + g1^22*t^6.06 + g1^4*t^6.28 + 2*g1^15*t^6.31 + t^6.44/g1^36 + (2*t^6.51)/g1^14 + 4*g1^8*t^6.57 + 2*g1^19*t^6.6 + g1^30*t^6.63 + t^6.76/g1^21 - t^6.79/g1^10 + g1*t^6.82 + 2*g1^12*t^6.85 + g1^23*t^6.88 + t^7.07/g1^6 + g1^5*t^7.1 + 3*g1^16*t^7.14 + t^7.3/g1^24 + 4*g1^9*t^7.39 + 2*g1^20*t^7.42 + g1^31*t^7.45 + 2*g1^2*t^7.64 + g1^13*t^7.67 + 2*g1^24*t^7.7 + t^7.83/g1^27 + t^7.86/g1^16 + 2*g1^6*t^7.93 + 4*g1^17*t^7.96 + g1^28*t^7.99 - t^8.15/g1^12 + g1^10*t^8.21 + 2*g1^21*t^8.24 + g1^32*t^8.27 - g1^3*t^8.46 + 2*g1^14*t^8.49 + 3*g1^25*t^8.52 + t^8.59/g1^48 + (2*t^8.65)/g1^26 + (2*t^8.72)/g1^4 + g1^7*t^8.75 + 5*g1^18*t^8.78 + 2*g1^29*t^8.81 + g1^40*t^8.84 + t^8.91/g1^33 - t^8.94/g1^22 - t^4.36/(g1^2*y) - t^6.51/(g1^14*y) - (g1^8*t^6.57)/y + t^7.36/(g1^2*y) + t^7.61/(g1^9*y) + (g1^13*t^7.67)/y + (2*t^8.15)/(g1^12*y) + t^8.18/(g1*y) + (2*g1^10*t^8.21)/y + (g1^21*t^8.24)/y + t^8.43/(g1^8*y) + (g1^3*t^8.46)/y + (2*g1^14*t^8.49)/y - t^8.65/(g1^26*y) + t^8.69/(g1^15*y) + (2*g1^7*t^8.75)/y + t^8.97/(g1^11*y) - (t^4.36*y)/g1^2 - (t^6.51*y)/g1^14 - g1^8*t^6.57*y + (t^7.36*y)/g1^2 + (t^7.61*y)/g1^9 + g1^13*t^7.67*y + (2*t^8.15*y)/g1^12 + (t^8.18*y)/g1 + 2*g1^10*t^8.21*y + g1^21*t^8.24*y + (t^8.43*y)/g1^8 + g1^3*t^8.46*y + 2*g1^14*t^8.49*y - (t^8.65*y)/g1^26 + (t^8.69*y)/g1^15 + 2*g1^7*t^8.75*y + (t^8.97*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5570 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_6M_9$ | 0.6549 | 0.808 | 0.8105 | [X:[], M:[1.1744, 1.1008, 0.9729, 1.0, 0.8256, 0.7519, 0.6977, 1.0271, 1.2481], q:[0.7752, 0.4263], qb:[0.3992, 0.6008], phi:[0.4496]] | t^2.09 + t^2.48 + t^3. + t^3.08 + t^3.3 + t^3.52 + t^3.6 + t^3.74 + t^3.83 + t^4.13 + t^4.19 + t^4.35 + t^4.43 + t^4.57 + 2*t^4.95 + t^5.09 + t^5.17 + t^5.56 + t^5.62 + t^5.7 + t^5.78 + t^5.84 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1624 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ | 0.6771 | 0.8472 | 0.7991 | [X:[], M:[1.168, 1.1094, 0.9492, 1.0, 0.832, 0.7735, 0.6718], q:[0.7773, 0.4414], qb:[0.3906, 0.6094], phi:[0.4453]] | t^2.02 + t^2.32 + t^2.5 + t^2.85 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^3.83 + t^4.03 + t^4.16 + 2*t^4.34 + t^4.49 + t^4.51 + t^4.64 + t^4.82 + t^4.86 + 2*t^4.99 + t^5.02 + t^5.17 + t^5.32 + t^5.34 + t^5.52 + t^5.65 + t^5.67 + t^5.7 + 2*t^5.82 + t^5.85 + t^5.98 - t^6. - t^4.34/y - t^4.34*y | detail |