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 |
|---|---|---|---|---|---|---|---|---|---|
| 6796 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ + $ M_9q_1\tilde{q}_2$ | 0.7142 | 0.9141 | 0.7813 | [X:[1.3447], M:[1.0, 0.8277, 1.1723, 0.6553, 0.8277, 0.7415, 1.026, 0.6894, 0.8016], q:[0.4268, 0.5732], qb:[0.4008, 0.7715], phi:[0.4569]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [-12], [-22], [32], [14]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_9$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_7$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_8^2$, $ M_6M_8$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_6^2$, $ M_8M_9$, $ M_2M_8$, $ M_5M_8$, $ M_6M_9$, $ M_2M_6$, $ M_5M_6$, $ M_9^2$, $ M_8\phi_1^2$, $ \phi_1q_2^2$, $ M_2M_9$, $ M_5M_9$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_8$, $ M_7M_8$, $ M_9\phi_1^2$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_6M_7$, $ M_1M_9$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ M_7M_9$, $ \phi_1^4$, $ M_2M_7$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$ | . | -2 | t^2.07 + t^2.22 + t^2.4 + 2*t^2.48 + t^2.74 + t^3. + t^3.08 + t^3.85 + t^4.03 + t^4.14 + 2*t^4.29 + t^4.37 + t^4.45 + t^4.47 + 2*t^4.55 + t^4.63 + 2*t^4.71 + 3*t^4.81 + 2*t^4.89 + 4*t^4.97 + t^5.07 + 2*t^5.15 + 3*t^5.22 + t^5.3 + t^5.4 + 3*t^5.48 + t^5.56 + t^5.74 + t^5.82 - 2*t^6. + t^6.08 + t^6.1 + t^6.16 + t^6.2 + t^6.26 + t^6.34 + 2*t^6.36 + t^6.44 + 2*t^6.52 + t^6.54 + t^6.6 + 2*t^6.62 + t^6.67 + 2*t^6.7 + 4*t^6.78 + 2*t^6.85 + 3*t^6.88 + 2*t^6.93 + 2*t^6.96 + 6*t^7.03 + 2*t^7.11 + t^7.14 + 3*t^7.19 + 4*t^7.21 + 6*t^7.29 + 4*t^7.37 + 6*t^7.45 + t^7.47 + t^7.53 + 4*t^7.55 + 3*t^7.63 + 6*t^7.71 + t^7.79 + t^7.81 + 3*t^7.89 + 4*t^7.97 + 2*t^8.04 - 2*t^8.07 + t^8.17 + t^8.22 + t^8.27 + 2*t^8.3 + t^8.38 - 3*t^8.4 + 2*t^8.43 - 3*t^8.48 + t^8.51 + 2*t^8.56 + 2*t^8.59 + t^8.61 + t^8.64 + 2*t^8.69 - t^8.74 + 2*t^8.77 + 2*t^8.82 + 5*t^8.84 + 2*t^8.9 + 3*t^8.95 - t^4.37/y - t^6.44/y - t^6.6/y - t^6.78/y - t^6.85/y - t^7.11/y + (2*t^7.29)/y - t^7.45/y + t^7.47/y + (2*t^7.55)/y + (2*t^7.63)/y + (2*t^7.71)/y + t^7.81/y + (3*t^7.89)/y + (3*t^7.97)/y + t^8.07/y + (3*t^8.15)/y + (3*t^8.22)/y + (2*t^8.3)/y + t^8.4/y + (3*t^8.48)/y - t^8.51/y + (2*t^8.56)/y - t^8.66/y + t^8.74/y - t^8.84/y - t^4.37*y - t^6.44*y - t^6.6*y - t^6.78*y - t^6.85*y - t^7.11*y + 2*t^7.29*y - t^7.45*y + t^7.47*y + 2*t^7.55*y + 2*t^7.63*y + 2*t^7.71*y + t^7.81*y + 3*t^7.89*y + 3*t^7.97*y + t^8.07*y + 3*t^8.15*y + 3*t^8.22*y + 2*t^8.3*y + t^8.4*y + 3*t^8.48*y - t^8.51*y + 2*t^8.56*y - t^8.66*y + t^8.74*y - t^8.84*y | g1^32*t^2.07 + t^2.22/g1^12 + g1^14*t^2.4 + (2*t^2.48)/g1^8 + t^2.74/g1^4 + t^3. + t^3.08/g1^22 + t^3.85/g1^10 + g1^16*t^4.03 + g1^64*t^4.14 + 2*g1^20*t^4.29 + t^4.37/g1^2 + t^4.45/g1^24 + g1^46*t^4.47 + 2*g1^24*t^4.55 + g1^2*t^4.63 + (2*t^4.71)/g1^20 + 3*g1^28*t^4.81 + 2*g1^6*t^4.89 + (4*t^4.97)/g1^16 + g1^32*t^5.07 + 2*g1^10*t^5.15 + (3*t^5.22)/g1^12 + t^5.3/g1^34 + g1^14*t^5.4 + (3*t^5.48)/g1^8 + t^5.56/g1^30 + t^5.74/g1^4 + t^5.82/g1^26 - 2*t^6. + t^6.08/g1^22 + g1^48*t^6.1 + t^6.16/g1^44 + g1^96*t^6.2 + g1^4*t^6.26 + t^6.34/g1^18 + 2*g1^52*t^6.36 + g1^30*t^6.44 + 2*g1^8*t^6.52 + g1^78*t^6.54 + t^6.6/g1^14 + 2*g1^56*t^6.62 + t^6.67/g1^36 + 2*g1^34*t^6.7 + 4*g1^12*t^6.78 + (2*t^6.85)/g1^10 + 3*g1^60*t^6.88 + (2*t^6.93)/g1^32 + 2*g1^38*t^6.96 + 6*g1^16*t^7.03 + (2*t^7.11)/g1^6 + g1^64*t^7.14 + (3*t^7.19)/g1^28 + 4*g1^42*t^7.21 + 6*g1^20*t^7.29 + (4*t^7.37)/g1^2 + (6*t^7.45)/g1^24 + g1^46*t^7.47 + t^7.53/g1^46 + 4*g1^24*t^7.55 + 3*g1^2*t^7.63 + (6*t^7.71)/g1^20 + t^7.79/g1^42 + g1^28*t^7.81 + 3*g1^6*t^7.89 + (4*t^7.97)/g1^16 + (2*t^8.04)/g1^38 - 2*g1^32*t^8.07 + g1^80*t^8.17 + t^8.22/g1^12 + g1^128*t^8.27 + (2*t^8.3)/g1^34 + t^8.38/g1^56 - 3*g1^14*t^8.4 + 2*g1^84*t^8.43 - (3*t^8.48)/g1^8 + g1^62*t^8.51 + (2*t^8.56)/g1^30 + 2*g1^40*t^8.59 + g1^110*t^8.61 + t^8.64/g1^52 + 2*g1^88*t^8.69 - t^8.74/g1^4 + 2*g1^66*t^8.77 + (2*t^8.82)/g1^26 + 5*g1^44*t^8.84 + (2*t^8.9)/g1^48 + 3*g1^92*t^8.95 - t^4.37/(g1^2*y) - (g1^30*t^6.44)/y - t^6.6/(g1^14*y) - (g1^12*t^6.78)/y - t^6.85/(g1^10*y) - t^7.11/(g1^6*y) + (2*g1^20*t^7.29)/y - t^7.45/(g1^24*y) + (g1^46*t^7.47)/y + (2*g1^24*t^7.55)/y + (2*g1^2*t^7.63)/y + (2*t^7.71)/(g1^20*y) + (g1^28*t^7.81)/y + (3*g1^6*t^7.89)/y + (3*t^7.97)/(g1^16*y) + (g1^32*t^8.07)/y + (3*g1^10*t^8.15)/y + (3*t^8.22)/(g1^12*y) + (2*t^8.3)/(g1^34*y) + (g1^14*t^8.4)/y + (3*t^8.48)/(g1^8*y) - (g1^62*t^8.51)/y + (2*t^8.56)/(g1^30*y) - (g1^18*t^8.66)/y + t^8.74/(g1^4*y) - (g1^44*t^8.84)/y - (t^4.37*y)/g1^2 - g1^30*t^6.44*y - (t^6.6*y)/g1^14 - g1^12*t^6.78*y - (t^6.85*y)/g1^10 - (t^7.11*y)/g1^6 + 2*g1^20*t^7.29*y - (t^7.45*y)/g1^24 + g1^46*t^7.47*y + 2*g1^24*t^7.55*y + 2*g1^2*t^7.63*y + (2*t^7.71*y)/g1^20 + g1^28*t^7.81*y + 3*g1^6*t^7.89*y + (3*t^7.97*y)/g1^16 + g1^32*t^8.07*y + 3*g1^10*t^8.15*y + (3*t^8.22*y)/g1^12 + (2*t^8.3*y)/g1^34 + g1^14*t^8.4*y + (3*t^8.48*y)/g1^8 - g1^62*t^8.51*y + (2*t^8.56*y)/g1^30 - g1^18*t^8.66*y + (t^8.74*y)/g1^4 - g1^44*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|---|
| 5239 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ | 0.698 | 0.8855 | 0.7883 | [X:[1.354], M:[1.0, 0.823, 1.177, 0.646, 0.823, 0.7345, 1.0132, 0.708], q:[0.4181, 0.5819], qb:[0.4049, 0.7721], phi:[0.4557]] | t^2.12 + t^2.2 + 2*t^2.47 + t^2.73 + t^3. + t^3.04 + t^3.57 + t^3.84 + t^4.06 + t^4.25 + 2*t^4.33 + t^4.37 + t^4.41 + 2*t^4.59 + 2*t^4.67 + 2*t^4.86 + 4*t^4.94 + t^5.12 + t^5.16 + 3*t^5.2 + t^5.24 + 2*t^5.47 + t^5.51 + t^5.69 + t^5.73 + 2*t^5.77 - 2*t^6. - t^4.37/y - t^4.37*y | detail |