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 |
|---|---|---|---|---|---|---|---|---|---|
| 4439 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_8$ | 0.6578 | 0.829 | 0.7935 | [X:[1.5563], M:[0.4437, 1.1854, 0.7782, 0.8874, 0.8146, 0.6689, 0.851, 1.1126], q:[0.7964, 0.76], qb:[0.4619, 0.3527], phi:[0.4073]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36], [-14], [24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_8$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5^2$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6M_8$, $ M_6q_2\tilde{q}_2$, $ M_3M_8$, $ M_3q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_8$, $ M_8\phi_1^2$, $ \phi_1q_2^2$, $ M_6q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_7M_8$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -3 | t^2.01 + t^2.33 + 2*t^2.44 + t^2.55 + 2*t^3.34 + t^3.67 + t^3.77 + t^4.01 + t^4.34 + 2*t^4.45 + 2*t^4.56 + 2*t^4.67 + t^4.78 + 5*t^4.89 + 2*t^5. + 2*t^5.34 + 2*t^5.67 + 6*t^5.78 + t^5.89 - 3*t^6. + t^6.02 + 2*t^6.11 + 2*t^6.22 - t^6.33 + t^6.35 + 2*t^6.46 + 2*t^6.57 + 5*t^6.68 + t^6.78 + 3*t^6.89 + 6*t^7. + 3*t^7.11 + 5*t^7.33 + 2*t^7.35 + 5*t^7.44 - t^7.55 + 2*t^7.68 + 6*t^7.79 + 3*t^7.9 - t^8.01 + t^8.03 + t^8.12 + 10*t^8.23 + t^8.35 - 8*t^8.44 + 2*t^8.46 - t^8.55 + 2*t^8.57 + 2*t^8.66 + 5*t^8.68 - 2*t^8.77 + t^8.79 - 2*t^8.88 + 3*t^8.9 - t^4.22/y - t^6.23/y - t^6.56/y - t^6.67/y - t^6.77/y + t^7.34/y + (2*t^7.45)/y + t^7.56/y + t^7.67/y + (3*t^7.78)/y + (3*t^7.89)/y + (2*t^8.)/y + t^8.22/y - t^8.24/y + (2*t^8.34)/y - t^8.56/y + (2*t^8.67)/y + (4*t^8.78)/y + t^8.89/y - t^4.22*y - t^6.23*y - t^6.56*y - t^6.67*y - t^6.77*y + t^7.34*y + 2*t^7.45*y + t^7.56*y + t^7.67*y + 3*t^7.78*y + 3*t^7.89*y + 2*t^8.*y + t^8.22*y - t^8.24*y + 2*t^8.34*y - t^8.56*y + 2*t^8.67*y + 4*t^8.78*y + t^8.89*y | g1^36*t^2.01 + g1^6*t^2.33 + (2*t^2.44)/g1^4 + t^2.55/g1^14 + 2*g1^24*t^3.34 + t^3.67/g1^6 + t^3.77/g1^16 + g1^72*t^4.01 + g1^42*t^4.34 + 2*g1^32*t^4.45 + 2*g1^22*t^4.56 + 2*g1^12*t^4.67 + g1^2*t^4.78 + (5*t^4.89)/g1^8 + (2*t^5.)/g1^18 + 2*g1^60*t^5.34 + 2*g1^30*t^5.67 + 6*g1^20*t^5.78 + g1^10*t^5.89 - 3*t^6. + g1^108*t^6.02 + (2*t^6.11)/g1^10 + (2*t^6.22)/g1^20 - t^6.33/g1^30 + g1^78*t^6.35 + 2*g1^68*t^6.46 + 2*g1^58*t^6.57 + 5*g1^48*t^6.68 + g1^38*t^6.78 + 3*g1^28*t^6.89 + 6*g1^18*t^7. + 3*g1^8*t^7.11 + (5*t^7.33)/g1^12 + 2*g1^96*t^7.35 + (5*t^7.44)/g1^22 - t^7.55/g1^32 + 2*g1^66*t^7.68 + 6*g1^56*t^7.79 + 3*g1^46*t^7.9 - g1^36*t^8.01 + g1^144*t^8.03 + g1^26*t^8.12 + 10*g1^16*t^8.23 + g1^114*t^8.35 - (8*t^8.44)/g1^4 + 2*g1^104*t^8.46 - t^8.55/g1^14 + 2*g1^94*t^8.57 + (2*t^8.66)/g1^24 + 5*g1^84*t^8.68 - (2*t^8.77)/g1^34 + g1^74*t^8.79 - (2*t^8.88)/g1^44 + 3*g1^64*t^8.9 - t^4.22/(g1^2*y) - (g1^34*t^6.23)/y - (g1^4*t^6.56)/y - t^6.67/(g1^6*y) - t^6.77/(g1^16*y) + (g1^42*t^7.34)/y + (2*g1^32*t^7.45)/y + (g1^22*t^7.56)/y + (g1^12*t^7.67)/y + (3*g1^2*t^7.78)/y + (3*t^7.89)/(g1^8*y) + (2*t^8.)/(g1^18*y) + t^8.22/(g1^38*y) - (g1^70*t^8.24)/y + (2*g1^60*t^8.34)/y - (g1^40*t^8.56)/y + (2*g1^30*t^8.67)/y + (4*g1^20*t^8.78)/y + (g1^10*t^8.89)/y - (t^4.22*y)/g1^2 - g1^34*t^6.23*y - g1^4*t^6.56*y - (t^6.67*y)/g1^6 - (t^6.77*y)/g1^16 + g1^42*t^7.34*y + 2*g1^32*t^7.45*y + g1^22*t^7.56*y + g1^12*t^7.67*y + 3*g1^2*t^7.78*y + (3*t^7.89*y)/g1^8 + (2*t^8.*y)/g1^18 + (t^8.22*y)/g1^38 - g1^70*t^8.24*y + 2*g1^60*t^8.34*y - g1^40*t^8.56*y + 2*g1^30*t^8.67*y + 4*g1^20*t^8.78*y + g1^10*t^8.89*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2398 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.669 | 0.8463 | 0.7905 | [X:[1.5691], M:[0.4309, 1.1897, 0.7845, 0.8619, 0.8103, 0.7072, 0.8361], q:[0.7974, 0.7716], qb:[0.4438, 0.3665], phi:[0.4052]] | t^2.12 + t^2.35 + 2*t^2.43 + t^2.51 + t^2.59 + t^3.41 + t^3.65 + t^3.72 + t^4.24 + t^4.48 + 2*t^4.55 + 2*t^4.63 + 3*t^4.71 + t^4.78 + 5*t^4.86 + 3*t^4.94 + 2*t^5.02 + t^5.09 + t^5.17 + t^5.54 + t^5.77 + 4*t^5.85 - 2*t^6. - t^4.22/y - t^4.22*y | detail | {a: 131507/196566, c: 332699/393132, X1: 284/181, M1: 78/181, M2: 646/543, M3: 142/181, M4: 156/181, M5: 440/543, M6: 128/181, M7: 454/543, q1: 433/543, q2: 419/543, qb1: 241/543, qb2: 199/543, phi1: 220/543} |