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 |
|---|---|---|---|---|---|---|---|---|---|
| 743 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6499 | 0.8145 | 0.7979 | [X:[], M:[0.8171, 0.7602, 1.1829, 0.8455, 0.7318], q:[0.8028, 0.8028], qb:[0.3801, 0.437], phi:[0.3943]] | [X:[], M:[[6], [-14], [-6], [16], [-24]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_2M_5$, $ M_2^2$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_4M_5$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_3M_5$, $ M_5q_1\tilde{q}_1$, $ M_2M_3$, $ M_2q_1\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | $M_2q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.2 + t^2.28 + t^2.37 + t^2.45 + t^2.54 + 2*t^3.55 + t^3.63 + t^3.72 + t^4.39 + t^4.48 + 2*t^4.56 + 2*t^4.65 + 3*t^4.73 + 3*t^4.82 + 2*t^4.9 + t^4.99 + t^5.07 + 2*t^5.74 + 2*t^5.83 + 2*t^5.91 + t^6. + 2*t^6.09 + t^6.17 + t^6.26 + t^6.59 + t^6.67 + 2*t^6.76 + 3*t^6.84 + 4*t^6.93 + 4*t^7.01 + 6*t^7.1 + 3*t^7.18 + 3*t^7.27 + 2*t^7.35 + 2*t^7.44 + t^7.52 + t^7.61 + 2*t^7.94 + 2*t^8.02 + 3*t^8.11 + t^8.2 + t^8.28 + t^8.37 - t^8.54 + t^8.62 + t^8.71 + t^8.78 + t^8.79 + t^8.87 + 2*t^8.95 - t^4.18/y - t^6.38/y - t^6.46/y - t^6.55/y - t^6.72/y + t^7.48/y + t^7.56/y + (3*t^7.65)/y + (2*t^7.73)/y + (3*t^7.82)/y + (2*t^7.9)/y + (2*t^7.99)/y - t^8.57/y - t^8.66/y + (2*t^8.83)/y + (2*t^8.91)/y - t^4.18*y - t^6.38*y - t^6.46*y - t^6.55*y - t^6.72*y + t^7.48*y + t^7.56*y + 3*t^7.65*y + 2*t^7.73*y + 3*t^7.82*y + 2*t^7.9*y + 2*t^7.99*y - t^8.57*y - t^8.66*y + 2*t^8.83*y + 2*t^8.91*y | t^2.2/g1^24 + t^2.28/g1^14 + t^2.37/g1^4 + g1^6*t^2.45 + g1^16*t^2.54 + (2*t^3.55)/g1^6 + g1^4*t^3.63 + g1^14*t^3.72 + t^4.39/g1^48 + t^4.48/g1^38 + (2*t^4.56)/g1^28 + (2*t^4.65)/g1^18 + (3*t^4.73)/g1^8 + 3*g1^2*t^4.82 + 2*g1^12*t^4.9 + g1^22*t^4.99 + g1^32*t^5.07 + (2*t^5.74)/g1^30 + (2*t^5.83)/g1^20 + (2*t^5.91)/g1^10 + t^6. + 2*g1^10*t^6.09 + g1^20*t^6.17 + g1^30*t^6.26 + t^6.59/g1^72 + t^6.67/g1^62 + (2*t^6.76)/g1^52 + (3*t^6.84)/g1^42 + (4*t^6.93)/g1^32 + (4*t^7.01)/g1^22 + (6*t^7.1)/g1^12 + (3*t^7.18)/g1^2 + 3*g1^8*t^7.27 + 2*g1^18*t^7.35 + 2*g1^28*t^7.44 + g1^38*t^7.52 + g1^48*t^7.61 + (2*t^7.94)/g1^54 + (2*t^8.02)/g1^44 + (3*t^8.11)/g1^34 + t^8.2/g1^24 + t^8.28/g1^14 + t^8.37/g1^4 - g1^16*t^8.54 + g1^26*t^8.62 + g1^36*t^8.71 + t^8.78/g1^96 + g1^46*t^8.79 + t^8.87/g1^86 + (2*t^8.95)/g1^76 - t^4.18/(g1^2*y) - t^6.38/(g1^26*y) - t^6.46/(g1^16*y) - t^6.55/(g1^6*y) - (g1^14*t^6.72)/y + t^7.48/(g1^38*y) + t^7.56/(g1^28*y) + (3*t^7.65)/(g1^18*y) + (2*t^7.73)/(g1^8*y) + (3*g1^2*t^7.82)/y + (2*g1^12*t^7.9)/y + (2*g1^22*t^7.99)/y - t^8.57/(g1^50*y) - t^8.66/(g1^40*y) + (2*t^8.83)/(g1^20*y) + (2*t^8.91)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.38*y)/g1^26 - (t^6.46*y)/g1^16 - (t^6.55*y)/g1^6 - g1^14*t^6.72*y + (t^7.48*y)/g1^38 + (t^7.56*y)/g1^28 + (3*t^7.65*y)/g1^18 + (2*t^7.73*y)/g1^8 + 3*g1^2*t^7.82*y + 2*g1^12*t^7.9*y + 2*g1^22*t^7.99*y - (t^8.57*y)/g1^50 - (t^8.66*y)/g1^40 + (2*t^8.83*y)/g1^20 + (2*t^8.91*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1220 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ | 0.5598 | 0.6914 | 0.8097 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | t^2.21 + t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 2*t^5.05 + 2*t^5.37 + 2*t^5.68 + 2*t^6. - t^4.26/y - t^4.26*y | detail | {a: 3840/6859, c: 9485/13718, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
| 1221 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ | 0.6315 | 0.7813 | 0.8083 | [X:[], M:[0.8121, 0.7718, 1.1879, 0.8322, 0.7517, 1.2282], q:[0.802, 0.802], qb:[0.3859, 0.4261], phi:[0.396]] | t^2.26 + t^2.38 + t^2.44 + t^2.5 + 2*t^3.56 + t^3.62 + 2*t^3.68 + t^4.51 + t^4.63 + t^4.69 + 2*t^4.75 + 2*t^4.81 + 2*t^4.87 + t^4.93 + t^4.99 + 2*t^5.82 + 2*t^5.94 - t^4.19/y - t^4.19*y | detail | |
| 1222 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_4M_6$ | 0.6373 | 0.7949 | 0.8018 | [X:[], M:[0.826, 0.7394, 1.174, 0.8692, 0.6961, 1.1308], q:[0.8043, 0.8043], qb:[0.3697, 0.4563], phi:[0.3913]] | t^2.09 + t^2.22 + t^2.35 + t^2.48 + t^3.39 + 2*t^3.52 + t^3.65 + t^3.78 + t^4.18 + t^4.31 + 2*t^4.44 + 2*t^4.57 + 2*t^4.7 + 2*t^4.83 + t^4.96 + t^5.48 + 3*t^5.61 + 3*t^5.74 + 3*t^5.87 + t^6. - t^4.17/y - t^4.17*y | detail | |
| 1218 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5^2$ + $ M_4X_1$ | 0.5798 | 0.7152 | 0.8107 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.0], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + t^5.75 + 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 1781/3072, c: 2197/3072, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 1, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12} |
| 1991 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6687 | 0.8494 | 0.7872 | [X:[], M:[0.8211, 0.7507, 1.1789, 0.8564, 0.7154, 0.7507], q:[0.8035, 0.8035], qb:[0.3753, 0.4458], phi:[0.393]] | t^2.15 + 2*t^2.25 + t^2.36 + t^2.46 + t^2.57 + 2*t^3.54 + t^3.64 + t^4.29 + 2*t^4.4 + 4*t^4.5 + 3*t^4.61 + 4*t^4.72 + 4*t^4.82 + 2*t^4.93 + t^5.03 + t^5.14 + 2*t^5.68 + 4*t^5.79 + 2*t^5.89 - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 442 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ | 0.6307 | 0.7795 | 0.809 | [X:[], M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | t^2.34 + t^2.38 + t^2.43 + t^2.47 + 2*t^3.57 + t^3.62 + t^3.66 + t^3.71 + t^4.67 + t^4.72 + 2*t^4.76 + 3*t^4.81 + 2*t^4.85 + t^4.9 + t^4.94 + t^5.91 + t^5.96 + t^6. - t^4.19/y - t^4.19*y | detail |