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 |
|---|---|---|---|---|---|---|---|---|---|
| 660 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_5\phi_1q_2^2$ | 0.6907 | 0.8634 | 0.8001 | [X:[], M:[1.0, 1.1136, 0.989, 0.6703, 0.6814], q:[0.7784, 0.4377], qb:[0.5623, 0.4487], phi:[0.4432]] | [X:[], M:[[0], [4], [-18], [6], [24]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_1M_4$, $ M_3M_5$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_3^2$ | . | -1 | t^2.01 + t^2.04 + t^2.66 + t^2.97 + t^3. + t^3.34 + t^3.65 + t^3.68 + 3*t^4.02 + t^4.06 + t^4.09 + t^4.33 + t^4.36 + t^4.67 + 2*t^4.7 + t^4.98 + 2*t^5.01 + t^5.04 + t^5.32 + t^5.35 + t^5.38 + t^5.66 + 2*t^5.69 + t^5.73 + t^5.93 - t^6. + 2*t^6.03 + 3*t^6.07 + t^6.1 + t^6.13 + t^6.31 + t^6.34 + t^6.37 + t^6.41 + t^6.62 + t^6.65 + 3*t^6.68 + 2*t^6.71 + 2*t^6.75 - t^6.96 + 2*t^6.99 + 4*t^7.02 + 2*t^7.06 + t^7.09 + t^7.33 + 4*t^7.36 + t^7.4 + t^7.43 - t^7.64 + 2*t^7.67 + 4*t^7.7 + 2*t^7.74 + t^7.77 + t^7.94 + t^7.98 - t^8.01 + 4*t^8.04 + 2*t^8.08 + 3*t^8.11 + t^8.14 + t^8.18 - t^8.32 + 2*t^8.35 + 3*t^8.38 + t^8.42 + t^8.45 + 2*t^8.69 + 6*t^8.73 + 2*t^8.76 + 2*t^8.79 + t^8.9 - 3*t^8.97 - t^4.33/y - t^6.34/y - t^6.37/y + t^7.06/y - t^7.3/y + t^7.36/y + t^7.67/y + t^7.7/y + t^7.98/y + (2*t^8.01)/y + t^8.04/y + t^8.29/y + t^8.32/y - t^8.42/y + t^8.63/y + (2*t^8.66)/y + (2*t^8.69)/y + t^8.73/y + t^8.97/y - t^4.33*y - t^6.34*y - t^6.37*y + t^7.06*y - t^7.3*y + t^7.36*y + t^7.67*y + t^7.7*y + t^7.98*y + 2*t^8.01*y + t^8.04*y + t^8.29*y + t^8.32*y - t^8.42*y + t^8.63*y + 2*t^8.66*y + 2*t^8.69*y + t^8.73*y + t^8.97*y | g1^6*t^2.01 + g1^24*t^2.04 + t^2.66/g1^4 + t^2.97/g1^18 + t^3. + g1^4*t^3.34 + t^3.65/g1^10 + g1^8*t^3.68 + 3*g1^12*t^4.02 + g1^30*t^4.06 + g1^48*t^4.09 + t^4.33/g1^2 + g1^16*t^4.36 + g1^2*t^4.67 + 2*g1^20*t^4.7 + t^4.98/g1^12 + 2*g1^6*t^5.01 + g1^24*t^5.04 + t^5.32/g1^8 + g1^10*t^5.35 + g1^28*t^5.38 + t^5.66/g1^4 + 2*g1^14*t^5.69 + g1^32*t^5.73 + t^5.93/g1^36 - t^6. + 2*g1^18*t^6.03 + 3*g1^36*t^6.07 + g1^54*t^6.1 + g1^72*t^6.13 + t^6.31/g1^14 + g1^4*t^6.34 + g1^22*t^6.37 + g1^40*t^6.41 + t^6.62/g1^28 + t^6.65/g1^10 + 3*g1^8*t^6.68 + 2*g1^26*t^6.71 + 2*g1^44*t^6.75 - t^6.96/g1^24 + (2*t^6.99)/g1^6 + 4*g1^12*t^7.02 + 2*g1^30*t^7.06 + g1^48*t^7.09 + t^7.33/g1^2 + 4*g1^16*t^7.36 + g1^34*t^7.4 + g1^52*t^7.43 - t^7.64/g1^16 + 2*g1^2*t^7.67 + 4*g1^20*t^7.7 + 2*g1^38*t^7.74 + g1^56*t^7.77 + t^7.94/g1^30 + t^7.98/g1^12 - g1^6*t^8.01 + 4*g1^24*t^8.04 + 2*g1^42*t^8.08 + 3*g1^60*t^8.11 + g1^78*t^8.14 + g1^96*t^8.18 - t^8.32/g1^8 + 2*g1^10*t^8.35 + 3*g1^28*t^8.38 + g1^46*t^8.42 + g1^64*t^8.45 + 2*g1^14*t^8.69 + 6*g1^32*t^8.73 + 2*g1^50*t^8.76 + 2*g1^68*t^8.79 + t^8.9/g1^54 - (3*t^8.97)/g1^18 - t^4.33/(g1^2*y) - (g1^4*t^6.34)/y - (g1^22*t^6.37)/y + (g1^30*t^7.06)/y - t^7.3/(g1^20*y) + (g1^16*t^7.36)/y + (g1^2*t^7.67)/y + (g1^20*t^7.7)/y + t^7.98/(g1^12*y) + (2*g1^6*t^8.01)/y + (g1^24*t^8.04)/y + t^8.29/(g1^26*y) + t^8.32/(g1^8*y) - (g1^46*t^8.42)/y + t^8.63/(g1^22*y) + (2*t^8.66)/(g1^4*y) + (2*g1^14*t^8.69)/y + (g1^32*t^8.73)/y + t^8.97/(g1^18*y) - (t^4.33*y)/g1^2 - g1^4*t^6.34*y - g1^22*t^6.37*y + g1^30*t^7.06*y - (t^7.3*y)/g1^20 + g1^16*t^7.36*y + g1^2*t^7.67*y + g1^20*t^7.7*y + (t^7.98*y)/g1^12 + 2*g1^6*t^8.01*y + g1^24*t^8.04*y + (t^8.29*y)/g1^26 + (t^8.32*y)/g1^8 - g1^46*t^8.42*y + (t^8.63*y)/g1^22 + (2*t^8.66*y)/g1^4 + 2*g1^14*t^8.69*y + g1^32*t^8.73*y + (t^8.97*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1051 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6874 | 0.8553 | 0.8036 | [X:[], M:[1.0, 1.125, 0.9375, 0.6875, 0.75], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.06 + t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.56 + t^3.75 + 3*t^4.12 + 2*t^4.31 + 2*t^4.5 + t^4.69 + 3*t^4.88 + 2*t^5.06 + 2*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 90093/131072, c: 112109/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 11/16, M5: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 1052 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.6222 | 0.7733 | 0.8047 | [X:[], M:[1.0, 1.1667, 0.75, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.7083, 0.5417], phi:[0.4167]] | 2*t^2.25 + t^2.5 + 2*t^3. + t^3.25 + t^3.5 + t^4. + t^4.25 + 5*t^4.5 + t^4.75 + 2*t^5. + 3*t^5.25 + 4*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 3823/6144, c: 4751/6144, M1: 1, M2: 7/6, M3: 3/4, M4: 3/4, M5: 1, q1: 19/24, q2: 7/24, qb1: 17/24, qb2: 13/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 410 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ | 0.67 | 0.8227 | 0.8144 | [X:[], M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], phi:[0.4425]] | t^2.02 + t^2.65 + t^2.95 + t^3. + t^3.35 + t^3.64 + t^3.69 + t^3.93 + 3*t^4.04 + t^4.33 + t^4.38 + t^4.67 + t^4.73 + t^4.96 + t^5.02 + t^5.31 + t^5.36 + t^5.65 + t^5.71 + t^5.89 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |