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 |
|---|---|---|---|---|---|---|---|---|---|
| 1690 | 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\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1q_2$ | 0.684 | 0.8481 | 0.8065 | [X:[], M:[1.0011, 1.1246, 0.9383, 0.6869, 0.7497, 1.2503, 0.8126], q:[0.7811, 0.4063], qb:[0.5926, 0.4691], phi:[0.4377]] | [X:[], M:[[32], [-12], [22], [-18], [-8], [8], [2]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 | {a: 137580491/201130032, c: 85290089/100565016, M1: 6148/6141, M2: 2302/2047, M3: 5762/6141, M4: 1406/2047, M5: 4604/6141, M6: 7678/6141, M7: 4990/6141, q1: 1599/2047, q2: 2495/6141, qb1: 1213/2047, qb2: 2881/6141, phi1: 896/2047} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_7^2$, $ M_1M_4$, $ M_7\phi_1^2$, $ M_3M_7$, $ \phi_1^4$, $ M_2M_4$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_4M_6$, $ M_2M_7$, $ M_4q_1\tilde{q}_2$, $ M_1M_3$ | . | -2 | t^2.06 + t^2.44 + t^2.63 + t^2.81 + t^3. + t^3.37 + 2*t^3.75 + 2*t^4.12 + t^4.13 + t^4.31 + 2*t^4.5 + t^4.69 + t^4.87 + 2*t^4.88 + 2*t^5.06 + 2*t^5.25 + t^5.43 + t^5.44 + t^5.63 + 2*t^5.81 + t^5.82 - 2*t^6. + t^6.01 + 2*t^6.18 + 2*t^6.19 + 2*t^6.38 + 2*t^6.56 + 2*t^6.57 + 4*t^6.75 + t^6.93 + 3*t^6.94 + 3*t^7.12 + t^7.13 + 3*t^7.31 + 2*t^7.49 + 4*t^7.5 + 2*t^7.69 + 3*t^7.87 + 4*t^7.88 - 2*t^8.06 + 2*t^8.07 + 3*t^8.24 + 2*t^8.25 + 2*t^8.26 + 4*t^8.62 + 2*t^8.63 - t^8.81 + t^8.82 + 2*t^8.99 - t^4.31/y - t^6.37/y - t^6.75/y - t^7.13/y + t^7.31/y - t^7.32/y + (2*t^7.5)/y + t^7.69/y + (2*t^7.88)/y + (2*t^8.06)/y + (2*t^8.25)/y + (2*t^8.44)/y + t^8.63/y + (2*t^8.81)/y + t^8.82/y - t^4.31*y - t^6.37*y - t^6.75*y - t^7.13*y + t^7.31*y - t^7.32*y + 2*t^7.5*y + t^7.69*y + 2*t^7.88*y + 2*t^8.06*y + 2*t^8.25*y + 2*t^8.44*y + t^8.63*y + 2*t^8.81*y + t^8.82*y | t^2.06/g1^18 + g1^2*t^2.44 + g1^12*t^2.63 + g1^22*t^2.81 + g1^32*t^3. + t^3.37/g1^12 + 2*g1^8*t^3.75 + (2*t^4.12)/g1^36 + g1^28*t^4.13 + t^4.31/g1^26 + (2*t^4.5)/g1^16 + t^4.69/g1^6 + t^4.87/g1^60 + 2*g1^4*t^4.88 + 2*g1^14*t^5.06 + 2*g1^24*t^5.25 + t^5.43/g1^30 + g1^34*t^5.44 + g1^44*t^5.63 + (2*t^5.81)/g1^10 + g1^54*t^5.82 - 2*t^6. + g1^64*t^6.01 + (2*t^6.18)/g1^54 + 2*g1^10*t^6.19 + 2*g1^20*t^6.38 + (2*t^6.56)/g1^34 + 2*g1^30*t^6.57 + (2*t^6.75)/g1^24 + 2*g1^40*t^6.75 + t^6.93/g1^78 + (3*t^6.94)/g1^14 + (3*t^7.12)/g1^4 + g1^60*t^7.13 + t^7.31/g1^58 + 2*g1^6*t^7.31 + (2*t^7.49)/g1^48 + 4*g1^16*t^7.5 + 2*g1^26*t^7.69 + (3*t^7.87)/g1^28 + 4*g1^36*t^7.88 - (2*t^8.06)/g1^18 + 2*g1^46*t^8.07 + (3*t^8.24)/g1^72 + (2*t^8.25)/g1^8 + 2*g1^56*t^8.26 - 2*g1^2*t^8.44 + 2*g1^66*t^8.44 + (4*t^8.62)/g1^52 + g1^12*t^8.63 + g1^76*t^8.63 - g1^22*t^8.81 + g1^86*t^8.82 + (2*t^8.99)/g1^96 - (g1^6*t^4.31)/y - t^6.37/(g1^12*y) - (g1^8*t^6.75)/y - (g1^28*t^7.13)/y + t^7.31/(g1^26*y) - (g1^38*t^7.32)/y + (2*t^7.5)/(g1^16*y) + t^7.69/(g1^6*y) + (2*g1^4*t^7.88)/y + (2*g1^14*t^8.06)/y + (2*g1^24*t^8.25)/y + (2*g1^34*t^8.44)/y + (g1^44*t^8.63)/y + (2*t^8.81)/(g1^10*y) + (g1^54*t^8.82)/y - g1^6*t^4.31*y - (t^6.37*y)/g1^12 - g1^8*t^6.75*y - g1^28*t^7.13*y + (t^7.31*y)/g1^26 - g1^38*t^7.32*y + (2*t^7.5*y)/g1^16 + (t^7.69*y)/g1^6 + 2*g1^4*t^7.88*y + 2*g1^14*t^8.06*y + 2*g1^24*t^8.25*y + 2*g1^34*t^8.44*y + g1^44*t^8.63*y + (2*t^8.81*y)/g1^10 + g1^54*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4078 | $\phi_1q_1^2$ + $ 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\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1q_2$ + $ M_3M_8$ | 0.6793 | 0.8411 | 0.8076 | [X:[], M:[1.033, 1.1126, 0.9602, 0.669, 0.7418, 1.2582, 0.8146, 1.0398], q:[0.7782, 0.4073], qb:[0.5597, 0.4801], phi:[0.4437]] | t^2.01 + t^2.44 + t^2.66 + t^3.1 + t^3.12 + t^3.34 + 2*t^3.77 + 2*t^4.01 + t^4.21 + t^4.23 + 2*t^4.45 + t^4.67 + t^4.69 + t^4.89 + 2*t^5.11 + t^5.13 + t^5.32 + t^5.34 + t^5.56 + 3*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 4077 | $\phi_1q_1^2$ + $ 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\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1q_2$ + $ M_4M_8$ | 0.6633 | 0.8079 | 0.821 | [X:[], M:[0.9977, 1.1259, 0.9359, 0.6888, 0.7506, 1.2494, 0.8124, 1.3112], q:[0.7815, 0.4062], qb:[0.5961, 0.468], phi:[0.4371]] | t^2.44 + t^2.62 + t^2.81 + t^2.99 + t^3.38 + 2*t^3.75 + t^3.93 + t^4.12 + t^4.13 + t^4.32 + t^4.5 + t^4.87 + t^4.89 + t^5.06 + 2*t^5.24 + t^5.43 + t^5.62 + t^5.8 + t^5.99 - 2*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1088 | 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\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_6$ | 0.6683 | 0.8207 | 0.8143 | [X:[], M:[1.0032, 1.1238, 0.9397, 0.6857, 0.7492, 1.2508], q:[0.781, 0.4063], qb:[0.5905, 0.4698], phi:[0.4381]] | t^2.06 + t^2.63 + t^2.82 + t^3.01 + t^3.37 + t^3.56 + 2*t^3.75 + 2*t^4.11 + t^4.13 + t^4.3 + t^4.5 + t^4.69 + t^4.86 + t^4.88 + t^5.07 + t^5.26 + t^5.43 + t^5.62 + t^5.64 + t^5.81 + t^5.83 - 2*t^6. - t^4.31/y - t^4.31*y | detail | {a: 29473/44100, c: 36193/44100, M1: 316/315, M2: 118/105, M3: 296/315, M4: 24/35, M5: 236/315, M6: 394/315, q1: 82/105, q2: 128/315, qb1: 62/105, qb2: 148/315, phi1: 46/105} |