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 |
|---|---|---|---|---|---|---|---|---|---|
| 3413 | 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_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7011 | 0.9007 | 0.7784 | [X:[], M:[0.8329, 1.0557, 1.1671, 0.7214, 0.7214, 0.6686], q:[0.4032, 0.7639], qb:[0.4296, 0.5146], phi:[0.4721]] | [X:[], M:[[-12], [4], [12], [-20], [-20], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_5$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_1M_6$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_1M_5$, $ M_6q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_3M_6$, $ q_1^2\tilde{q}_2^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_6\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.01 + 2*t^2.16 + t^2.5 + t^2.75 + t^2.83 + t^3.17 + t^3.5 + t^3.58 + t^3.92 + t^4.01 + 3*t^4.17 + t^4.25 + 3*t^4.33 + 2*t^4.5 + 2*t^4.66 + t^4.76 + t^4.84 + 2*t^4.92 + 3*t^5. + t^5.17 + t^5.25 + 3*t^5.33 + 2*t^5.51 + 2*t^5.59 + 3*t^5.67 + t^5.75 + t^5.92 - t^6. + t^6.02 + 2*t^6.08 + 3*t^6.18 + t^6.25 + 5*t^6.33 + 3*t^6.41 + 4*t^6.49 + 2*t^6.51 + 5*t^6.67 + t^6.75 + t^6.76 + 3*t^6.83 + t^6.84 + 3*t^6.92 + 4*t^7. + 3*t^7.08 + 4*t^7.16 + t^7.18 + 2*t^7.26 + 3*t^7.34 + 5*t^7.5 + 2*t^7.51 + 2*t^7.59 + 4*t^7.67 + 3*t^7.75 + 6*t^7.83 + t^7.91 + t^7.93 + t^8.02 + 2*t^8.08 - 2*t^8.16 + 3*t^8.18 + 2*t^8.24 + 2*t^8.26 + 6*t^8.34 + 3*t^8.42 + 5*t^8.5 + 2*t^8.52 + 4*t^8.58 + 5*t^8.66 + 6*t^8.67 - t^8.75 + t^8.77 + 4*t^8.83 + t^8.85 + 2*t^8.91 + 3*t^8.93 + 4*t^8.99 - t^4.42/y - t^6.42/y - (2*t^6.58)/y + (2*t^7.17)/y + t^7.33/y + t^7.5/y + (2*t^7.66)/y + t^7.76/y + t^7.84/y + (2*t^7.92)/y + (2*t^8.)/y + t^8.17/y + (3*t^8.25)/y + (3*t^8.33)/y + t^8.41/y - t^8.43/y + t^8.51/y + (3*t^8.67)/y - t^8.75/y + (2*t^8.92)/y - t^4.42*y - t^6.42*y - 2*t^6.58*y + 2*t^7.17*y + t^7.33*y + t^7.5*y + 2*t^7.66*y + t^7.76*y + t^7.84*y + 2*t^7.92*y + 2*t^8.*y + t^8.17*y + 3*t^8.25*y + 3*t^8.33*y + t^8.41*y - t^8.43*y + t^8.51*y + 3*t^8.67*y - t^8.75*y + 2*t^8.92*y | g1^48*t^2.01 + (2*t^2.16)/g1^20 + t^2.5/g1^12 + g1^30*t^2.75 + t^2.83/g1^4 + g1^4*t^3.17 + g1^12*t^3.5 + t^3.58/g1^22 + t^3.92/g1^14 + g1^96*t^4.01 + 3*g1^28*t^4.17 + t^4.25/g1^6 + (3*t^4.33)/g1^40 + 2*g1^36*t^4.5 + (2*t^4.66)/g1^32 + g1^78*t^4.76 + g1^44*t^4.84 + 2*g1^10*t^4.92 + (3*t^5.)/g1^24 + g1^52*t^5.17 + g1^18*t^5.25 + (3*t^5.33)/g1^16 + 2*g1^60*t^5.51 + 2*g1^26*t^5.59 + (3*t^5.67)/g1^8 + t^5.75/g1^42 + g1^34*t^5.92 - t^6. + g1^144*t^6.02 + (2*t^6.08)/g1^34 + 3*g1^76*t^6.18 + g1^42*t^6.25 + 5*g1^8*t^6.33 + (3*t^6.41)/g1^26 + (4*t^6.49)/g1^60 + 2*g1^84*t^6.51 + 5*g1^16*t^6.67 + t^6.75/g1^18 + g1^126*t^6.76 + (3*t^6.83)/g1^52 + g1^92*t^6.84 + 3*g1^58*t^6.92 + 4*g1^24*t^7. + (3*t^7.08)/g1^10 + (4*t^7.16)/g1^44 + g1^100*t^7.18 + 2*g1^66*t^7.26 + 3*g1^32*t^7.34 + (5*t^7.5)/g1^36 + 2*g1^108*t^7.51 + 2*g1^74*t^7.59 + 4*g1^40*t^7.67 + 3*g1^6*t^7.75 + (6*t^7.83)/g1^28 + t^7.91/g1^62 + g1^82*t^7.93 + g1^192*t^8.02 + 2*g1^14*t^8.08 - (2*t^8.16)/g1^20 + 3*g1^124*t^8.18 + (2*t^8.24)/g1^54 + 2*g1^90*t^8.26 + 6*g1^56*t^8.34 + 3*g1^22*t^8.42 + (5*t^8.5)/g1^12 + 2*g1^132*t^8.52 + (4*t^8.58)/g1^46 + (5*t^8.66)/g1^80 + 6*g1^64*t^8.67 - g1^30*t^8.75 + g1^174*t^8.77 + (4*t^8.83)/g1^4 + g1^140*t^8.85 + (2*t^8.91)/g1^38 + 3*g1^106*t^8.93 + (4*t^8.99)/g1^72 - t^4.42/(g1^2*y) - (g1^46*t^6.42)/y - (2*t^6.58)/(g1^22*y) + (2*g1^28*t^7.17)/y + t^7.33/(g1^40*y) + (g1^36*t^7.5)/y + (2*t^7.66)/(g1^32*y) + (g1^78*t^7.76)/y + (g1^44*t^7.84)/y + (2*g1^10*t^7.92)/y + (2*t^8.)/(g1^24*y) + (g1^52*t^8.17)/y + (3*g1^18*t^8.25)/y + (3*t^8.33)/(g1^16*y) + t^8.41/(g1^50*y) - (g1^94*t^8.43)/y + (g1^60*t^8.51)/y + (3*t^8.67)/(g1^8*y) - t^8.75/(g1^42*y) + (2*g1^34*t^8.92)/y - (t^4.42*y)/g1^2 - g1^46*t^6.42*y - (2*t^6.58*y)/g1^22 + 2*g1^28*t^7.17*y + (t^7.33*y)/g1^40 + g1^36*t^7.5*y + (2*t^7.66*y)/g1^32 + g1^78*t^7.76*y + g1^44*t^7.84*y + 2*g1^10*t^7.92*y + (2*t^8.*y)/g1^24 + g1^52*t^8.17*y + 3*g1^18*t^8.25*y + (3*t^8.33*y)/g1^16 + (t^8.41*y)/g1^50 - g1^94*t^8.43*y + g1^60*t^8.51*y + (3*t^8.67*y)/g1^8 - (t^8.75*y)/g1^42 + 2*g1^34*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 3901 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.7063 | 0.9092 | 0.7768 | [X:[], M:[0.8316, 1.0561, 1.1684, 0.7194, 0.7194, 0.6735, 0.9439], q:[0.4044, 0.764], qb:[0.4273, 0.5166], phi:[0.4719]] | t^2.02 + 2*t^2.16 + t^2.49 + t^2.76 + 2*t^2.83 + t^3.51 + t^3.57 + t^3.91 + t^4.04 + 3*t^4.18 + t^4.25 + 3*t^4.32 + 2*t^4.52 + 2*t^4.65 + t^4.78 + 2*t^4.85 + 2*t^4.92 + 5*t^4.99 + t^5.26 + 2*t^5.33 + 2*t^5.53 + 3*t^5.59 + 4*t^5.66 + t^5.73 - 2*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2850 | 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_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ | 0.6802 | 0.8591 | 0.7917 | [X:[], M:[0.8326, 1.0558, 1.1674, 0.721, 0.721], q:[0.4035, 0.764], qb:[0.4291, 0.5151], phi:[0.4721]] | 2*t^2.16 + t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.5 + t^3.58 + t^3.91 + t^3.99 + t^4.17 + t^4.25 + 3*t^4.33 + t^4.51 + 2*t^4.66 + 2*t^4.92 + 3*t^5. + t^5.25 + 3*t^5.33 + t^5.51 + t^5.59 + 3*t^5.67 + t^5.74 - t^6. - t^4.42/y - t^4.42*y | detail |