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 |
|---|---|---|---|---|---|---|---|---|---|
| 2159 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ | 0.6748 | 0.848 | 0.7958 | [X:[], M:[0.9778, 1.0838, 1.1453, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.7709, 0.5419], qb:[0.4803, 0.3744], phi:[0.4581]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-4], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ M_1$, $ M_2$, $ M_6$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_1M_5$, $ M_1M_7$, $ M_4^2$, $ M_2M_5$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ M_1M_4$, $ M_3M_5$, $ M_3M_7$, $ M_5\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4M_6$, $ M_5q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_1^2$ | . | -2 | 2*t^2.06 + t^2.56 + t^2.93 + 2*t^3.25 + t^3.44 + t^3.62 + t^3.75 + 4*t^4.12 + t^4.26 + t^4.44 + 3*t^4.63 + 2*t^4.99 + t^5.13 + 4*t^5.31 + 2*t^5.5 + t^5.68 + 3*t^5.82 + t^5.87 - 2*t^6. + 7*t^6.18 + 2*t^6.32 + t^6.37 + 2*t^6.5 + t^6.55 + 6*t^6.69 + t^6.82 + 2*t^7.01 + 4*t^7.06 + t^7.19 + t^7.24 + 6*t^7.37 + 2*t^7.51 + 3*t^7.56 + t^7.69 + 2*t^7.74 + 5*t^7.88 + 2*t^7.93 + t^8.01 - 5*t^8.06 + 10*t^8.25 + 3*t^8.38 + 2*t^8.43 + t^8.51 + t^8.62 + t^8.7 + 9*t^8.75 + t^8.8 + 3*t^8.88 - 4*t^8.93 - t^4.37/y - (2*t^6.44)/y + (2*t^7.12)/y - t^7.31/y + t^7.44/y + t^7.63/y + (2*t^7.99)/y + (6*t^8.31)/y + (2*t^8.68)/y + (4*t^8.82)/y - t^4.37*y - 2*t^6.44*y + 2*t^7.12*y - t^7.31*y + t^7.44*y + t^7.63*y + 2*t^7.99*y + 6*t^8.31*y + 2*t^8.68*y + 4*t^8.82*y | 2*g1^3*t^2.06 + t^2.56/g1^5 + g1^13*t^2.93 + (2*t^3.25)/g1^4 + g1^5*t^3.44 + g1^14*t^3.62 + t^3.75/g1^12 + 4*g1^6*t^4.12 + t^4.26/g1^20 + t^4.44/g1^11 + (3*t^4.63)/g1^2 + 2*g1^16*t^4.99 + t^5.13/g1^10 + (4*t^5.31)/g1 + 2*g1^8*t^5.5 + g1^17*t^5.68 + (3*t^5.82)/g1^9 + g1^26*t^5.87 - 2*t^6. + 7*g1^9*t^6.18 + (2*t^6.32)/g1^17 + g1^18*t^6.37 + (2*t^6.5)/g1^8 + g1^27*t^6.55 + 6*g1*t^6.69 + t^6.82/g1^25 + (2*t^7.01)/g1^16 + 4*g1^19*t^7.06 + t^7.19/g1^7 + g1^28*t^7.24 + 6*g1^2*t^7.37 + (2*t^7.51)/g1^24 + 3*g1^11*t^7.56 + t^7.69/g1^15 + 2*g1^20*t^7.74 + (5*t^7.88)/g1^6 + 2*g1^29*t^7.93 + t^8.01/g1^32 - 5*g1^3*t^8.06 + 10*g1^12*t^8.25 + (3*t^8.38)/g1^14 + 2*g1^21*t^8.43 + t^8.51/g1^40 + g1^30*t^8.62 + t^8.7/g1^31 + 9*g1^4*t^8.75 + g1^39*t^8.8 + (3*t^8.88)/g1^22 - 4*g1^13*t^8.93 - (g1^2*t^4.37)/y - (2*g1^5*t^6.44)/y + (2*g1^6*t^7.12)/y - (g1^15*t^7.31)/y + t^7.44/(g1^11*y) + t^7.63/(g1^2*y) + (2*g1^16*t^7.99)/y + (6*t^8.31)/(g1*y) + (2*g1^17*t^8.68)/y + (4*t^8.82)/(g1^9*y) - g1^2*t^4.37*y - 2*g1^5*t^6.44*y + 2*g1^6*t^7.12*y - g1^15*t^7.31*y + (t^7.44*y)/g1^11 + (t^7.63*y)/g1^2 + 2*g1^16*t^7.99*y + (6*t^8.31*y)/g1 + 2*g1^17*t^8.68*y + (4*t^8.82*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4134 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ + $ M_1M_8$ | 0.6751 | 0.8497 | 0.7945 | [X:[], M:[1.0273, 1.0685, 1.1643, 0.8357, 0.6986, 1.0685, 0.6986, 0.9727], q:[0.7671, 0.5343], qb:[0.4384, 0.3972], phi:[0.4657]] | 2*t^2.1 + t^2.51 + t^2.92 + 2*t^3.21 + t^3.49 + t^3.62 + t^3.78 + t^4.03 + 4*t^4.19 + t^4.32 + 3*t^4.6 + 3*t^5.01 + 4*t^5.3 + t^5.43 + t^5.59 + 3*t^5.71 + t^5.84 + t^5.88 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 4133 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6687 | 0.8415 | 0.7947 | [X:[], M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059, 1.0588, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | 2*t^2.12 + t^2.47 + 3*t^3.18 + 2*t^3.53 + 2*t^3.88 + 5*t^4.24 + 3*t^4.59 + t^4.94 + 6*t^5.29 + 5*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 52563/78608, c: 33073/39304, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 18/17, M7: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
| 4135 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ | 0.6943 | 0.8842 | 0.7852 | [X:[], M:[0.9612, 1.0889, 1.1389, 0.8611, 0.6833, 1.0889, 0.6833, 0.7334], q:[0.7722, 0.5444], qb:[0.4944, 0.3667], phi:[0.4556]] | 2*t^2.05 + t^2.2 + t^2.58 + t^2.88 + 2*t^3.27 + t^3.42 + t^3.57 + 4*t^4.1 + 2*t^4.25 + t^4.33 + t^4.4 + t^4.48 + 3*t^4.63 + t^4.78 + 2*t^4.93 + t^5.08 + t^5.17 + 4*t^5.32 + 4*t^5.47 + 2*t^5.62 + 2*t^5.77 + t^5.85 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1133 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6541 | 0.8078 | 0.8098 | [X:[], M:[0.9792, 1.0833, 1.1458, 0.8542, 0.6875, 1.0833], q:[0.7708, 0.5417], qb:[0.4792, 0.375], phi:[0.4583]] | t^2.06 + t^2.56 + t^2.94 + 2*t^3.25 + t^3.44 + t^3.62 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.25 + t^4.44 + 2*t^4.62 + t^5. + t^5.12 + 2*t^5.31 + t^5.5 + 2*t^5.81 + t^5.88 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 4019/6144, c: 4963/6144, M1: 47/48, M2: 13/12, M3: 55/48, M4: 41/48, M5: 11/16, M6: 13/12, q1: 37/48, q2: 13/24, qb1: 23/48, qb2: 3/8, phi1: 11/24} |