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 |
|---|---|---|---|---|---|---|---|---|---|
| 48285 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ | 0.6858 | 0.8499 | 0.8069 | [X:[], M:[0.945, 1.011, 1.1209, 0.7473, 0.7473], q:[0.5825, 0.4725], qb:[0.4066, 0.7802], phi:[0.4396]] | [X:[], M:[[-22], [-32], [12], [8], [8]], q:[[33], [-11]], qb:[[-1], [3]], phi:[[-6]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_3M_4$, $ M_3M_5$, $ M_1^2$, $ M_2\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_2$ | . | 2*t^2.24 + t^2.64 + t^2.84 + t^3.03 + t^3.36 + t^3.56 + t^3.96 + t^4.09 + t^4.15 + t^4.29 + 4*t^4.48 + t^4.81 + 2*t^4.88 + 2*t^5.08 + 3*t^5.27 + 2*t^5.6 + t^5.67 + t^5.8 + t^5.87 - 2*t^6. + t^6.07 + 2*t^6.2 + t^6.33 + 3*t^6.4 + t^6.53 + t^6.59 + 6*t^6.73 + t^6.79 + t^6.92 + t^6.99 + 2*t^7.06 + 3*t^7.12 + t^7.19 + 3*t^7.32 + t^7.45 + 5*t^7.52 + t^7.65 + 3*t^7.85 + 3*t^7.91 + t^8.04 + 3*t^8.11 + t^8.18 - 5*t^8.24 + 3*t^8.31 + t^8.37 + 2*t^8.44 + t^8.51 + t^8.57 + 3*t^8.64 + t^8.7 + t^8.77 - 2*t^8.84 + 2*t^8.9 + 8*t^8.97 - t^4.32/y - (2*t^6.56)/y - t^7.15/y + t^7.29/y - t^7.35/y + (2*t^7.48)/y + (2*t^7.88)/y + (4*t^8.08)/y + (2*t^8.27)/y + t^8.47/y + (2*t^8.6)/y + t^8.67/y - t^8.8/y + t^8.87/y - t^4.32*y - 2*t^6.56*y - t^7.15*y + t^7.29*y - t^7.35*y + 2*t^7.48*y + 2*t^7.88*y + 4*t^8.08*y + 2*t^8.27*y + t^8.47*y + 2*t^8.6*y + t^8.67*y - t^8.8*y + t^8.87*y | 2*g1^8*t^2.24 + t^2.64/g1^12 + t^2.84/g1^22 + t^3.03/g1^32 + g1^12*t^3.36 + g1^2*t^3.56 + t^3.96/g1^18 + g1^36*t^4.09 + t^4.15/g1^28 + g1^26*t^4.29 + 4*g1^16*t^4.48 + g1^60*t^4.81 + (2*t^4.88)/g1^4 + (2*t^5.08)/g1^14 + (3*t^5.27)/g1^24 + 2*g1^20*t^5.6 + t^5.67/g1^44 + g1^10*t^5.8 + t^5.87/g1^54 - 2*t^6. + t^6.07/g1^64 + (2*t^6.2)/g1^10 + g1^44*t^6.33 + (3*t^6.4)/g1^20 + g1^34*t^6.53 + t^6.59/g1^30 + 6*g1^24*t^6.73 + t^6.79/g1^40 + g1^14*t^6.92 + t^6.99/g1^50 + 2*g1^68*t^7.06 + 3*g1^4*t^7.12 + t^7.19/g1^60 + (3*t^7.32)/g1^6 + g1^48*t^7.45 + (5*t^7.52)/g1^16 + g1^38*t^7.65 + 3*g1^28*t^7.85 + (3*t^7.91)/g1^36 + g1^18*t^8.04 + (3*t^8.11)/g1^46 + g1^72*t^8.18 - 5*g1^8*t^8.24 + (3*t^8.31)/g1^56 + g1^62*t^8.37 + (2*t^8.44)/g1^2 + t^8.51/g1^66 + g1^52*t^8.57 + (3*t^8.64)/g1^12 + t^8.7/g1^76 + g1^42*t^8.77 - (2*t^8.84)/g1^22 + t^8.9/g1^86 + g1^96*t^8.9 + 8*g1^32*t^8.97 - t^4.32/(g1^6*y) - (2*g1^2*t^6.56)/y - t^7.15/(g1^28*y) + (g1^26*t^7.29)/y - t^7.35/(g1^38*y) + (2*g1^16*t^7.48)/y + (2*t^7.88)/(g1^4*y) + (4*t^8.08)/(g1^14*y) + (2*t^8.27)/(g1^24*y) + t^8.47/(g1^34*y) + (2*g1^20*t^8.6)/y + t^8.67/(g1^44*y) - (g1^10*t^8.8)/y + t^8.87/(g1^54*y) - (t^4.32*y)/g1^6 - 2*g1^2*t^6.56*y - (t^7.15*y)/g1^28 + g1^26*t^7.29*y - (t^7.35*y)/g1^38 + 2*g1^16*t^7.48*y + (2*t^7.88*y)/g1^4 + (4*t^8.08*y)/g1^14 + (2*t^8.27*y)/g1^24 + (t^8.47*y)/g1^34 + 2*g1^20*t^8.6*y + (t^8.67*y)/g1^44 - g1^10*t^8.8*y + (t^8.87*y)/g1^54 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55992 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ + $ M_1M_2$ | 0.6852 | 0.8495 | 0.8065 | [X:[], M:[0.963, 1.037, 1.1111, 0.7407, 0.7407], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | 2*t^2.22 + t^2.67 + t^2.89 + t^3.11 + t^3.33 + t^3.56 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + t^4.67 + 2*t^4.89 + 2*t^5.11 + 3*t^5.33 + 2*t^5.56 + 2*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 23975/34992, c: 14863/17496, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 20/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46533 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_2$ | 0.6667 | 0.8151 | 0.8179 | [X:[], M:[0.9413, 1.0055, 1.1229, 0.7486], q:[0.588, 0.4707], qb:[0.4064, 0.7807], phi:[0.4385]] | t^2.25 + t^2.63 + t^2.82 + t^3.02 + t^3.37 + t^3.56 + t^3.75 + t^3.95 + t^4.11 + t^4.14 + t^4.3 + 2*t^4.49 + t^4.84 + t^4.88 + t^5.07 + 2*t^5.26 + t^5.61 + t^5.65 + t^5.84 - t^6. - t^4.32/y - t^4.32*y | detail |