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 |
|---|---|---|---|---|---|---|---|---|---|
| 4253 | 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_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_2M_8$ | 0.6354 | 0.7898 | 0.8045 | [X:[], M:[1.1765, 0.7451, 0.8235, 0.8235, 1.1765, 0.7843, 0.7059, 1.2549], q:[0.8039, 0.451], qb:[0.3725, 0.8039], phi:[0.3922]] | [X:[], M:[[-6], [-14], [6], [6], [-6], [-4], [-24], [14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 | {a: 1469/2312, c: 913/1156, M1: 20/17, M2: 38/51, M3: 14/17, M4: 14/17, M5: 20/17, M6: 40/51, M7: 12/17, M8: 64/51, q1: 41/51, q2: 23/51, qb1: 19/51, qb2: 41/51, phi1: 20/51} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ \phi_1^2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_5$, $ M_8$, $ q_1q_2$, $ M_7^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_3M_7$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_3\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_1M_7$, $ M_5M_7$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_7M_8$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7q_1q_2$, $ M_3\phi_1\tilde{q}_1^2$ | $M_3M_5$, $ \phi_1\tilde{q}_2^2$ | -1 | t^2.12 + 2*t^2.35 + t^2.47 + t^3.41 + 2*t^3.53 + 2*t^3.76 + t^4.24 + 2*t^4.47 + t^4.59 + 3*t^4.71 + 3*t^4.82 + t^4.94 + t^5.53 + 2*t^5.65 + t^5.76 + 5*t^5.88 - t^6. + 2*t^6.12 + t^6.24 + t^6.35 + 2*t^6.59 + t^6.71 + 4*t^6.82 + 4*t^6.94 + 5*t^7.06 + 3*t^7.18 + 2*t^7.29 - 2*t^7.41 + 2*t^7.53 + t^7.65 + 2*t^7.76 + t^7.88 + 5*t^8. + 5*t^8.24 - t^8.35 + 2*t^8.71 + t^8.82 + 4*t^8.94 - t^4.18/y - t^6.29/y - (2*t^6.53)/y + (2*t^7.47)/y + t^7.59/y + t^7.71/y + (4*t^7.82)/y + t^8.06/y - t^8.41/y + t^8.53/y + (2*t^8.76)/y + (4*t^8.88)/y - t^4.18*y - t^6.29*y - 2*t^6.53*y + 2*t^7.47*y + t^7.59*y + t^7.71*y + 4*t^7.82*y + t^8.06*y - t^8.41*y + t^8.53*y + 2*t^8.76*y + 4*t^8.88*y | t^2.12/g1^24 + (2*t^2.35)/g1^4 + g1^6*t^2.47 + t^3.41/g1^16 + (2*t^3.53)/g1^6 + 2*g1^14*t^3.76 + t^4.24/g1^48 + (2*t^4.47)/g1^28 + t^4.59/g1^18 + (3*t^4.71)/g1^8 + 3*g1^2*t^4.82 + g1^12*t^4.94 + t^5.53/g1^40 + (2*t^5.65)/g1^30 + t^5.76/g1^20 + (5*t^5.88)/g1^10 - t^6. + 2*g1^10*t^6.12 + g1^20*t^6.24 + t^6.35/g1^72 + (2*t^6.59)/g1^52 + t^6.71/g1^42 + (4*t^6.82)/g1^32 + (4*t^6.94)/g1^22 + (5*t^7.06)/g1^12 + (3*t^7.18)/g1^2 + 2*g1^8*t^7.29 - 2*g1^18*t^7.41 + 2*g1^28*t^7.53 + t^7.65/g1^64 + (2*t^7.76)/g1^54 + t^7.88/g1^44 + (5*t^8.)/g1^34 + (5*t^8.24)/g1^14 - t^8.35/g1^4 + t^8.47/g1^96 - g1^6*t^8.47 + (2*t^8.71)/g1^76 + t^8.82/g1^66 + (4*t^8.94)/g1^56 - t^4.18/(g1^2*y) - t^6.29/(g1^26*y) - (2*t^6.53)/(g1^6*y) + (2*t^7.47)/(g1^28*y) + t^7.59/(g1^18*y) + t^7.71/(g1^8*y) + (4*g1^2*t^7.82)/y + (g1^22*t^8.06)/y - t^8.41/(g1^50*y) + t^8.53/(g1^40*y) + (2*t^8.76)/(g1^20*y) + (4*t^8.88)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.29*y)/g1^26 - (2*t^6.53*y)/g1^6 + (2*t^7.47*y)/g1^28 + (t^7.59*y)/g1^18 + (t^7.71*y)/g1^8 + 4*g1^2*t^7.82*y + g1^22*t^8.06*y - (t^8.41*y)/g1^50 + (t^8.53*y)/g1^40 + (2*t^8.76*y)/g1^20 + (4*t^8.88*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2256 | 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_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6548 | 0.8265 | 0.7923 | [X:[], M:[1.1725, 0.7357, 0.8275, 0.8275, 1.1725, 0.7816, 0.6898], q:[0.8046, 0.4597], qb:[0.3679, 0.8046], phi:[0.3908]] | t^2.07 + t^2.21 + 2*t^2.34 + t^2.48 + t^3.38 + 2*t^3.52 + t^3.79 + t^4.14 + t^4.28 + 3*t^4.41 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.45 + 3*t^5.59 + 3*t^5.72 + 4*t^5.86 - t^4.17/y - t^4.17*y | detail |