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 |
|---|---|---|---|---|---|---|---|---|---|
| 1729 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ | 0.7101 | 0.9145 | 0.7765 | [X:[], M:[0.692, 0.692, 0.692, 0.692, 0.692], q:[0.827, 0.827], qb:[0.481, 0.481], phi:[0.346]] | [X:[], M:[[1, -4, -1], [0, 1, -5], [0, -5, 1], [0, -2, -2], [-1, 0, -3]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1M_3$, $ M_2^2$, $ M_2M_5$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_5^2$, $ M_1M_2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_4^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_1^2$, $ M_3M_5$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | 3 | 6*t^2.08 + t^2.89 + 2*t^3.92 + 21*t^4.15 + 7*t^4.96 + t^5.77 + 3*t^6. + 56*t^6.23 + 2*t^6.81 + 19*t^7.04 + t^7.85 - 11*t^8.08 + 126*t^8.3 + t^8.66 - 3*t^8.89 - t^4.04/y - (6*t^6.11)/y + (15*t^7.15)/y + (12*t^7.96)/y - (21*t^8.19)/y - t^4.04*y - 6*t^6.11*y + 15*t^7.15*y + 12*t^7.96*y - 21*t^8.19*y | (g2*t^2.08)/g3^5 + t^2.08/(g1*g3^3) + (2*t^2.08)/(g2^2*g3^2) + (g1*t^2.08)/(g2^4*g3) + (g3*t^2.08)/g2^5 + g2^3*g3^3*t^2.89 + g1*g2^3*t^3.92 + (g2*g3^4*t^3.92)/g1 + (g1*t^4.15)/g2^9 + (g2^2*t^4.15)/g3^10 + (g2*t^4.15)/(g1*g3^8) + (2*t^4.15)/(g2*g3^7) + t^4.15/(g1^2*g3^6) + (g1*t^4.15)/(g2^3*g3^6) + (2*t^4.15)/(g1*g2^2*g3^5) + (5*t^4.15)/(g2^4*g3^4) + (2*g1*t^4.15)/(g2^6*g3^3) + (g1^2*t^4.15)/(g2^8*g3^2) + t^4.15/(g1*g2^5*g3^2) + (2*t^4.15)/(g2^7*g3) + (g3^2*t^4.15)/g2^10 + (g2^3*t^4.96)/g1 + (g2^4*t^4.96)/g3^2 + 3*g2*g3*t^4.96 + (g1*g3^2*t^4.96)/g2 + (g3^4*t^4.96)/g2^2 + g2^6*g3^6*t^5.77 - 3*t^6. + (g1*g2^4*t^6.)/g3^5 + (g1*g2*t^6.)/g3^2 + (g1^2*t^6.)/(g2*g3) + (g2*g3*t^6.)/g1^2 + (g3^2*t^6.)/(g1*g2) + (g3^5*t^6.)/(g1*g2^4) + (2*t^6.23)/g2^12 + (g2^3*t^6.23)/g3^15 + (g2^2*t^6.23)/(g1*g3^13) + (2*t^6.23)/g3^12 + (g1*t^6.23)/(g2^2*g3^11) + (g2*t^6.23)/(g1^2*g3^11) + (2*t^6.23)/(g1*g2*g3^10) + t^6.23/(g1^3*g3^9) + (5*t^6.23)/(g2^3*g3^9) + (2*g1*t^6.23)/(g2^5*g3^8) + (2*t^6.23)/(g1^2*g2^2*g3^8) + (g1^2*t^6.23)/(g2^7*g3^7) + (5*t^6.23)/(g1*g2^4*g3^7) + (8*t^6.23)/(g2^6*g3^6) + (5*g1*t^6.23)/(g2^8*g3^5) + t^6.23/(g1^2*g2^5*g3^5) + (2*g1^2*t^6.23)/(g2^10*g3^4) + (2*t^6.23)/(g1*g2^7*g3^4) + (g1^3*t^6.23)/(g2^12*g3^3) + (5*t^6.23)/(g2^9*g3^3) + (2*g1*t^6.23)/(g2^11*g3^2) + (g1^2*t^6.23)/(g2^13*g3) + t^6.23/(g1*g2^10*g3) + (g1*g3*t^6.23)/g2^14 + (g3^3*t^6.23)/g2^15 + g1*g2^6*g3^3*t^6.81 + (g2^4*g3^7*t^6.81)/g1 + (2*g1*t^7.04)/g2^3 + (g2^5*t^7.04)/g3^7 + (g2^4*t^7.04)/(g1*g3^5) + (2*g2^2*t^7.04)/g3^4 + (g2^3*t^7.04)/(g1^2*g3^3) + (2*g2*t^7.04)/(g1*g3^2) + (5*t^7.04)/(g2*g3) + (g1^2*g3*t^7.04)/g2^5 + (2*g3^2*t^7.04)/g2^4 + (g1*g3^3*t^7.04)/g2^6 + (g3^5*t^7.04)/g2^7 + g1^2*g2^6*t^7.85 - g1*g2^5*g3^2*t^7.85 + g2^4*g3^4*t^7.85 - (g2^3*g3^6*t^7.85)/g1 + (g2^2*g3^8*t^7.85)/g1^2 + t^8.08/(g1*g2^3) + (g1*g2^5*t^8.08)/g3^10 + (g1*g2^2*t^8.08)/g3^7 + (g1^2*t^8.08)/g3^6 - (4*g2*t^8.08)/g3^5 + (g1*t^8.08)/(g2*g3^4) - (4*t^8.08)/(g1*g3^3) + (g1^2*t^8.08)/(g2^3*g3^3) + (g1^3*t^8.08)/(g2^5*g3^2) - (7*t^8.08)/(g2^2*g3^2) + (g2*t^8.08)/(g1^3*g3^2) - (4*g1*t^8.08)/(g2^4*g3) + t^8.08/(g1^2*g2*g3) - (4*g3*t^8.08)/g2^5 + (g3^2*t^8.08)/(g1^2*g2^4) + (g3^3*t^8.08)/(g1*g2^6) + (g3^6*t^8.08)/(g1*g2^9) + (g1^2*t^8.3)/g2^18 + t^8.3/(g1*g2^15) + (g2^4*t^8.3)/g3^20 + (g2^3*t^8.3)/(g1*g3^18) + (2*g2*t^8.3)/g3^17 + (g1*t^8.3)/(g2*g3^16) + (g2^2*t^8.3)/(g1^2*g3^16) + (2*t^8.3)/(g1*g3^15) + (5*t^8.3)/(g2^2*g3^14) + (g2*t^8.3)/(g1^3*g3^14) + (2*g1*t^8.3)/(g2^4*g3^13) + (2*t^8.3)/(g1^2*g2*g3^13) + t^8.3/(g1^4*g3^12) + (g1^2*t^8.3)/(g2^6*g3^12) + (5*t^8.3)/(g1*g2^3*g3^12) + (8*t^8.3)/(g2^5*g3^11) + (2*t^8.3)/(g1^3*g2^2*g3^11) + (5*g1*t^8.3)/(g2^7*g3^10) + (5*t^8.3)/(g1^2*g2^4*g3^10) + (2*g1^2*t^8.3)/(g2^9*g3^9) + (8*t^8.3)/(g1*g2^6*g3^9) + (g1^3*t^8.3)/(g2^11*g3^8) + (14*t^8.3)/(g2^8*g3^8) + t^8.3/(g1^3*g2^5*g3^8) + (8*g1*t^8.3)/(g2^10*g3^7) + (2*t^8.3)/(g1^2*g2^7*g3^7) + (5*g1^2*t^8.3)/(g2^12*g3^6) + (5*t^8.3)/(g1*g2^9*g3^6) + (2*g1^3*t^8.3)/(g2^14*g3^5) + (8*t^8.3)/(g2^11*g3^5) + (g1^4*t^8.3)/(g2^16*g3^4) + (5*g1*t^8.3)/(g2^13*g3^4) + t^8.3/(g1^2*g2^10*g3^4) + (2*g1^2*t^8.3)/(g2^15*g3^3) + (2*t^8.3)/(g1*g2^12*g3^3) + (g1^3*t^8.3)/(g2^17*g3^2) + (5*t^8.3)/(g2^14*g3^2) + (2*g1*t^8.3)/(g2^16*g3) + (2*g3*t^8.3)/g2^17 + (g1*g3^2*t^8.3)/g2^19 + (g3^4*t^8.3)/g2^20 + g2^9*g3^9*t^8.66 - g2^6*t^8.89 + (g1*g2^7*t^8.89)/g3^2 + g1*g2^4*g3*t^8.89 + g1^2*g2^2*g3^2*t^8.89 - (g2^5*g3^2*t^8.89)/g1 - 5*g2^3*g3^3*t^8.89 - g1*g2*g3^4*t^8.89 + (g2^4*g3^4*t^8.89)/g1^2 + (g2^2*g3^5*t^8.89)/g1 - g3^6*t^8.89 + (g3^8*t^8.89)/(g1*g2) - t^4.04/(g2*g3*y) - t^6.11/(g2^6*y) - t^6.11/(g3^6*y) - t^6.11/(g1*g2*g3^4*y) - (2*t^6.11)/(g2^3*g3^3*y) - (g1*t^6.11)/(g2^5*g3^2*y) + (g1*t^7.15)/(g2^9*y) + (g2*t^7.15)/(g1*g3^8*y) + (2*t^7.15)/(g2*g3^7*y) + (g1*t^7.15)/(g2^3*g3^6*y) + (2*t^7.15)/(g1*g2^2*g3^5*y) + (3*t^7.15)/(g2^4*g3^4*y) + (2*g1*t^7.15)/(g2^6*g3^3*y) + t^7.15/(g1*g2^5*g3^2*y) + (2*t^7.15)/(g2^7*g3*y) + (2*g2^3*t^7.96)/(g1*y) + (2*g2^4*t^7.96)/(g3^2*y) + (4*g2*g3*t^7.96)/y + (2*g1*g3^2*t^7.96)/(g2*y) + (2*g3^4*t^7.96)/(g2^2*y) - (g2*t^8.19)/(g3^11*y) - t^8.19/(g1*g3^9*y) - (2*t^8.19)/(g2^2*g3^8*y) - (g1*t^8.19)/(g2^4*g3^7*y) - t^8.19/(g1^2*g2*g3^7*y) - (2*t^8.19)/(g1*g2^3*g3^6*y) - (5*t^8.19)/(g2^5*g3^5*y) - (2*g1*t^8.19)/(g2^7*g3^4*y) - (g1^2*t^8.19)/(g2^9*g3^3*y) - t^8.19/(g1*g2^6*g3^3*y) - (2*t^8.19)/(g2^8*g3^2*y) - (g1*t^8.19)/(g2^10*g3*y) - (g3*t^8.19)/(g2^11*y) - (t^4.04*y)/(g2*g3) - (t^6.11*y)/g2^6 - (t^6.11*y)/g3^6 - (t^6.11*y)/(g1*g2*g3^4) - (2*t^6.11*y)/(g2^3*g3^3) - (g1*t^6.11*y)/(g2^5*g3^2) + (g1*t^7.15*y)/g2^9 + (g2*t^7.15*y)/(g1*g3^8) + (2*t^7.15*y)/(g2*g3^7) + (g1*t^7.15*y)/(g2^3*g3^6) + (2*t^7.15*y)/(g1*g2^2*g3^5) + (3*t^7.15*y)/(g2^4*g3^4) + (2*g1*t^7.15*y)/(g2^6*g3^3) + (t^7.15*y)/(g1*g2^5*g3^2) + (2*t^7.15*y)/(g2^7*g3) + (2*g2^3*t^7.96*y)/g1 + (2*g2^4*t^7.96*y)/g3^2 + 4*g2*g3*t^7.96*y + (2*g1*g3^2*t^7.96*y)/g2 + (2*g3^4*t^7.96*y)/g2^2 - (g2*t^8.19*y)/g3^11 - (t^8.19*y)/(g1*g3^9) - (2*t^8.19*y)/(g2^2*g3^8) - (g1*t^8.19*y)/(g2^4*g3^7) - (t^8.19*y)/(g1^2*g2*g3^7) - (2*t^8.19*y)/(g1*g2^3*g3^6) - (5*t^8.19*y)/(g2^5*g3^5) - (2*g1*t^8.19*y)/(g2^7*g3^4) - (g1^2*t^8.19*y)/(g2^9*g3^3) - (t^8.19*y)/(g1*g2^6*g3^3) - (2*t^8.19*y)/(g2^8*g3^2) - (g1*t^8.19*y)/(g2^10*g3) - (g3*t^8.19*y)/g2^11 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 200 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6895 | 0.8749 | 0.7881 | [X:[], M:[0.6857, 0.6986, 0.6931, 0.6959], q:[0.8349, 0.8172], qb:[0.4795, 0.4767], phi:[0.3479]] | t^2.06 + t^2.08 + 2*t^2.09 + t^2.1 + t^2.87 + t^3.88 + t^3.89 + t^3.93 + t^4.11 + 3*t^4.14 + t^4.15 + t^4.16 + 2*t^4.17 + 6*t^4.18 + t^4.19 + t^4.93 + t^4.95 + 4*t^4.96 + t^5.74 + t^5.94 + t^5.95 + t^5.96 + 2*t^5.97 + 2*t^5.98 + t^5.99 - 3*t^6. - t^4.04/y - t^4.04*y | detail |