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 |
|---|---|---|---|---|---|---|---|---|---|
| 48185 | 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_5\tilde{q}_1\tilde{q}_2$ | 0.6824 | 0.8425 | 0.8099 | [X:[], M:[0.9398, 1.0033, 1.1237, 0.7492, 0.8127], q:[0.5903, 0.4699], qb:[0.4064, 0.7809], phi:[0.4381]] | [X:[], M:[[-22], [-32], [12], [8], [-2]], 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$, $ q_2\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$, $ \phi_1q_1q_2$, $ M_4M_5$, $ \phi_1q_1^2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_3M_4$, $ M_1^2$, $ M_2\phi_1^2$, $ M_1M_2$ | . | t^2.25 + t^2.44 + t^2.63 + t^2.82 + t^3.01 + t^3.37 + t^3.75 + t^3.94 + t^4.11 + t^4.13 + t^4.3 + 2*t^4.49 + t^4.69 + t^4.86 + 2*t^4.88 + 2*t^5.07 + 3*t^5.26 + t^5.45 + t^5.62 + t^5.64 + t^5.83 - t^6. + t^6.02 + t^6.19 + 3*t^6.38 + t^6.55 + 2*t^6.57 + 3*t^6.74 + 2*t^6.76 + 2*t^6.93 + t^6.95 + t^7.1 + 2*t^7.12 + t^7.14 + t^7.29 + 3*t^7.31 + t^7.48 + 4*t^7.51 + 3*t^7.7 + t^7.87 + 4*t^7.89 + 3*t^8.08 + t^8.23 - t^8.25 + 3*t^8.27 - 2*t^8.44 + 2*t^8.46 + t^8.61 + t^8.63 + t^8.65 - t^8.82 + t^8.84 + t^8.97 + 3*t^8.99 - t^4.31/y - t^6.56/y - t^6.75/y - t^7.13/y + t^7.3/y - t^7.32/y + t^7.49/y + t^7.69/y + (2*t^7.88)/y + (3*t^8.07)/y + (2*t^8.26)/y + (2*t^8.45)/y + t^8.62/y + t^8.64/y + t^8.83/y - t^4.31*y - t^6.56*y - t^6.75*y - t^7.13*y + t^7.3*y - t^7.32*y + t^7.49*y + t^7.69*y + 2*t^7.88*y + 3*t^8.07*y + 2*t^8.26*y + 2*t^8.45*y + t^8.62*y + t^8.64*y + t^8.83*y | g1^8*t^2.25 + t^2.44/g1^2 + t^2.63/g1^12 + t^2.82/g1^22 + t^3.01/g1^32 + g1^12*t^3.37 + t^3.75/g1^8 + t^3.94/g1^18 + g1^36*t^4.11 + t^4.13/g1^28 + g1^26*t^4.3 + 2*g1^16*t^4.49 + g1^6*t^4.69 + g1^60*t^4.86 + (2*t^4.88)/g1^4 + (2*t^5.07)/g1^14 + (3*t^5.26)/g1^24 + t^5.45/g1^34 + g1^20*t^5.62 + t^5.64/g1^44 + t^5.83/g1^54 - t^6. + t^6.02/g1^64 + t^6.19/g1^10 + (3*t^6.38)/g1^20 + g1^34*t^6.55 + (2*t^6.57)/g1^30 + 3*g1^24*t^6.74 + (2*t^6.76)/g1^40 + 2*g1^14*t^6.93 + t^6.95/g1^50 + g1^68*t^7.1 + 2*g1^4*t^7.12 + t^7.14/g1^60 + g1^58*t^7.29 + (3*t^7.31)/g1^6 + g1^48*t^7.48 + (4*t^7.51)/g1^16 + (3*t^7.7)/g1^26 + g1^28*t^7.87 + (4*t^7.89)/g1^36 + (3*t^8.08)/g1^46 + g1^72*t^8.23 - g1^8*t^8.25 + (3*t^8.27)/g1^56 - (2*t^8.44)/g1^2 + (2*t^8.46)/g1^66 + g1^52*t^8.61 + t^8.63/g1^12 + t^8.65/g1^76 - t^8.82/g1^22 + t^8.84/g1^86 + g1^96*t^8.97 + 3*g1^32*t^8.99 - t^4.31/(g1^6*y) - (g1^2*t^6.56)/y - t^6.75/(g1^8*y) - t^7.13/(g1^28*y) + (g1^26*t^7.3)/y - t^7.32/(g1^38*y) + (g1^16*t^7.49)/y + (g1^6*t^7.69)/y + (2*t^7.88)/(g1^4*y) + (3*t^8.07)/(g1^14*y) + (2*t^8.26)/(g1^24*y) + (2*t^8.45)/(g1^34*y) + (g1^20*t^8.62)/y + t^8.64/(g1^44*y) + t^8.83/(g1^54*y) - (t^4.31*y)/g1^6 - g1^2*t^6.56*y - (t^6.75*y)/g1^8 - (t^7.13*y)/g1^28 + g1^26*t^7.3*y - (t^7.32*y)/g1^38 + g1^16*t^7.49*y + g1^6*t^7.69*y + (2*t^7.88*y)/g1^4 + (3*t^8.07*y)/g1^14 + (2*t^8.26*y)/g1^24 + (2*t^8.45*y)/g1^34 + g1^20*t^8.62*y + (t^8.64*y)/g1^44 + (t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 55931 | $M_1q_1q_2$ + $ 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_5\tilde{q}_1\tilde{q}_2$ + $ M_1M_2$ | 0.6813 | 0.841 | 0.8101 | [X:[], M:[0.963, 1.037, 1.1111, 0.7407, 0.8148], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | t^2.22 + t^2.44 + t^2.67 + t^2.89 + t^3.11 + t^3.33 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + 2*t^4.67 + 2*t^4.89 + 2*t^5.11 + 3*t^5.33 + 2*t^5.56 + t^5.78 - t^4.33/y - t^4.33*y | detail | {a: 883/1296, c: 545/648, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 22/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
| 55934 | $M_1q_1q_2$ + $ 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_5\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ | 0.6779 | 0.8353 | 0.8115 | [X:[], M:[0.9634, 1.0377, 1.1109, 0.7406, 0.8149, 1.0366], q:[0.5549, 0.4817], qb:[0.4074, 0.7777], phi:[0.4446]] | t^2.22 + t^2.44 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.66 + t^4.67 + 2*t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.55 + t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 54130 | $M_1q_1q_2$ + $ 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_5\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.6752 | 0.8343 | 0.8093 | [X:[], M:[1.0, 1.0909, 1.0909, 0.7273, 0.8182], q:[0.5, 0.5], qb:[0.4091, 0.7727], phi:[0.4545]] | t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + 2*t^3.82 + 2*t^4.09 + 4*t^4.36 + t^4.64 + 2*t^4.91 + 2*t^5.18 + 4*t^5.45 + t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 14379/21296, c: 17767/21296, M1: 1, M2: 12/11, M3: 12/11, M4: 8/11, M5: 9/11, q1: 1/2, q2: 1/2, qb1: 9/22, qb2: 17/22, phi1: 5/11} |
| 55932 | $M_1q_1q_2$ + $ 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_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ | 0.6633 | 0.8079 | 0.821 | [X:[], M:[0.9359, 0.9977, 1.1259, 0.7506, 0.8124, 1.2494], q:[0.5961, 0.468], qb:[0.4062, 0.7815], phi:[0.4371]] | t^2.44 + t^2.62 + t^2.81 + t^2.99 + t^3.38 + 2*t^3.75 + t^3.93 + t^4.12 + t^4.13 + t^4.32 + t^4.5 + t^4.87 + t^4.89 + t^5.06 + 2*t^5.24 + t^5.43 + t^5.62 + t^5.8 + t^5.99 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 52636 | $M_1q_1q_2$ + $ 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_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ | 0.7015 | 0.8773 | 0.7996 | [X:[], M:[0.9436, 1.0088, 1.1217, 0.7478, 0.8131, 0.7478], q:[0.5847, 0.4718], qb:[0.4065, 0.7804], phi:[0.4392]] | 2*t^2.24 + t^2.44 + t^2.63 + t^2.83 + t^3.03 + t^3.37 + t^3.95 + t^4.1 + t^4.15 + t^4.29 + 4*t^4.49 + 2*t^4.68 + t^4.83 + 3*t^4.88 + 3*t^5.07 + 4*t^5.27 + t^5.47 + 2*t^5.61 + t^5.66 + t^5.86 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |