Landscape




$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





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.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
683 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_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ 0.6802 0.8389 0.8108 [X:[], M:[1.0, 1.1152, 0.9814, 0.8848, 0.6914], q:[0.7788, 0.4331], qb:[0.5669, 0.4517], phi:[0.4424]] [X:[], M:[[0], [4], [-18], [-4], [24]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_1M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_5q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_3^2$ . -2 t^2.07 + 2*t^2.65 + t^2.94 + t^3. + t^3.64 + t^3.69 + t^3.98 + 2*t^4.04 + t^4.15 + t^4.33 + t^4.38 + 3*t^4.73 + t^5.02 + t^5.07 + 3*t^5.31 + t^5.6 + t^5.65 + t^5.71 + t^5.77 + t^5.89 - 2*t^6. + 2*t^6.11 + t^6.22 + t^6.29 + t^6.46 + t^6.58 + 3*t^6.64 + 3*t^6.69 + 3*t^6.8 + 2*t^6.98 + 2*t^7.04 + t^7.09 + t^7.15 + 4*t^7.38 + 2*t^7.67 + 2*t^7.73 + t^7.78 + t^7.84 + 5*t^7.96 + 2*t^8.02 + 2*t^8.19 + t^8.25 + t^8.3 + 2*t^8.36 + 2*t^8.42 + t^8.53 + t^8.54 - t^8.6 - 4*t^8.65 + t^8.71 + 5*t^8.77 + t^8.83 + 3*t^8.88 - t^8.94 - t^4.33/y - t^6.4/y - t^6.98/y - t^7.27/y + t^7.38/y + t^7.67/y + (2*t^7.73)/y + t^8.02/y + t^8.07/y + t^8.25/y + t^8.31/y - t^8.48/y + (2*t^8.6)/y + (2*t^8.65)/y + t^8.71/y + t^8.77/y + t^8.94/y - t^4.33*y - t^6.4*y - t^6.98*y - t^7.27*y + t^7.38*y + t^7.67*y + 2*t^7.73*y + t^8.02*y + t^8.07*y + t^8.25*y + t^8.31*y - t^8.48*y + 2*t^8.6*y + 2*t^8.65*y + t^8.71*y + t^8.77*y + t^8.94*y g1^24*t^2.07 + (2*t^2.65)/g1^4 + t^2.94/g1^18 + t^3. + t^3.64/g1^10 + g1^8*t^3.69 + t^3.98/g1^6 + 2*g1^12*t^4.04 + g1^48*t^4.15 + t^4.33/g1^2 + g1^16*t^4.38 + 3*g1^20*t^4.73 + g1^6*t^5.02 + g1^24*t^5.07 + (3*t^5.31)/g1^8 + t^5.6/g1^22 + t^5.65/g1^4 + g1^14*t^5.71 + g1^32*t^5.77 + t^5.89/g1^36 - 2*t^6. + 2*g1^36*t^6.11 + g1^72*t^6.22 + t^6.29/g1^14 + g1^40*t^6.46 + t^6.58/g1^28 + (3*t^6.64)/g1^10 + 3*g1^8*t^6.69 + 3*g1^44*t^6.8 + (2*t^6.98)/g1^6 + 2*g1^12*t^7.04 + g1^30*t^7.09 + g1^48*t^7.15 + 4*g1^16*t^7.38 + 2*g1^2*t^7.67 + 2*g1^20*t^7.73 + g1^38*t^7.78 + g1^56*t^7.84 + (5*t^7.96)/g1^12 + 2*g1^6*t^8.02 + 2*g1^60*t^8.19 + t^8.25/g1^26 + g1^96*t^8.3 + 2*g1^10*t^8.36 + 2*g1^28*t^8.42 + g1^64*t^8.53 + t^8.54/g1^40 - t^8.6/g1^22 - (4*t^8.65)/g1^4 + g1^14*t^8.71 + 5*g1^32*t^8.77 + t^8.83/g1^54 + 3*g1^68*t^8.88 - t^8.94/g1^18 - t^4.33/(g1^2*y) - (g1^22*t^6.4)/y - t^6.98/(g1^6*y) - t^7.27/(g1^20*y) + (g1^16*t^7.38)/y + (g1^2*t^7.67)/y + (2*g1^20*t^7.73)/y + (g1^6*t^8.02)/y + (g1^24*t^8.07)/y + t^8.25/(g1^26*y) + t^8.31/(g1^8*y) - (g1^46*t^8.48)/y + (2*t^8.6)/(g1^22*y) + (2*t^8.65)/(g1^4*y) + (g1^14*t^8.71)/y + (g1^32*t^8.77)/y + t^8.94/(g1^18*y) - (t^4.33*y)/g1^2 - g1^22*t^6.4*y - (t^6.98*y)/g1^6 - (t^7.27*y)/g1^20 + g1^16*t^7.38*y + g1^2*t^7.67*y + 2*g1^20*t^7.73*y + g1^6*t^8.02*y + g1^24*t^8.07*y + (t^8.25*y)/g1^26 + (t^8.31*y)/g1^8 - g1^46*t^8.48*y + (2*t^8.6*y)/g1^22 + (2*t^8.65*y)/g1^4 + g1^14*t^8.71*y + g1^32*t^8.77*y + (t^8.94*y)/g1^18


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
1099 $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1q_2$ 0.6614 0.8132 0.8134 [X:[], M:[1.0, 1.1429, 0.8571, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] 4*t^2.57 + t^3. + t^3.43 + 2*t^3.86 + 3*t^4.29 + t^4.71 + 10*t^5.14 + 2*t^5.57 + t^6. - t^4.29/y - t^4.29*y detail {a: 1815/2744, c: 4463/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 6/7, M5: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7}
1100 $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ 0.6778 0.8341 0.8127 [X:[], M:[1.0, 1.125, 0.9375, 0.875, 0.75], q:[0.7812, 0.4062], qb:[0.5938, 0.4688], phi:[0.4375]] t^2.25 + 2*t^2.62 + t^2.81 + t^3. + t^3.56 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.88 + t^5.06 + 4*t^5.25 + t^5.44 + 2*t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y detail {a: 44421/65536, c: 54661/65536, M1: 1, M2: 9/8, M3: 15/16, M4: 7/8, M5: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16}
1096 $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ 0.6175 0.7633 0.809 [X:[], M:[1.0, 1.1667, 0.75, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.7083, 0.5417], phi:[0.4167]] t^2.25 + 2*t^2.5 + 2*t^3. + t^3.25 + t^3.75 + t^4. + t^4.25 + 3*t^4.5 + t^4.75 + 4*t^5. + t^5.25 + 5*t^5.5 + t^5.75 - t^4.25/y - t^4.25*y detail {a: 1897/3072, c: 2345/3072, M1: 1, M2: 7/6, M3: 3/4, M4: 5/6, 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.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore 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.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
416 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_1^2$ + $ M_2M_4$ 0.6597 0.7994 0.8252 [X:[], M:[1.0, 1.1177, 0.9704, 0.8823], q:[0.7794, 0.4264], qb:[0.5736, 0.456], phi:[0.4412]] 2*t^2.65 + t^2.91 + t^3. + t^3.62 + t^3.71 + t^3.88 + t^3.97 + 2*t^4.06 + t^4.32 + t^4.41 + t^4.77 + 3*t^5.29 + t^5.56 + t^5.65 + t^5.82 - 2*t^6. - t^4.32/y - t^4.32*y detail