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
1902 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ 0.6063 0.7771 0.7802 [X:[], M:[0.986, 1.0421, 0.7465, 1.2535, 0.7745], q:[0.7465, 0.2675], qb:[0.479, 0.479], phi:[0.507]] [X:[], M:[[4], [-12], [1], [-1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ q_2\tilde{q}_2$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ M_1^2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ $M_3M_4$, $ M_5q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ 0 2*t^2.24 + t^2.32 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.68 + 2*t^3.76 + 3*t^4.39 + 3*t^4.48 + 2*t^4.56 + t^4.65 + 2*t^5.2 + 3*t^5.28 + 3*t^5.37 + 2*t^5.45 + 2*t^5.92 + 3*t^6.08 + 2*t^6.17 + 3*t^6.25 + 3*t^6.63 + 6*t^6.72 + 3*t^6.8 + 4*t^6.89 + t^6.97 + t^7.35 + 3*t^7.44 + 6*t^7.52 + 5*t^7.61 + 3*t^7.69 + 2*t^7.77 + t^8.07 + 3*t^8.16 - 2*t^8.24 + 5*t^8.41 + 4*t^8.49 + 3*t^8.58 + 5*t^8.79 + 3*t^8.87 + t^8.96 - t^4.52/y - t^6.84/y + t^7.39/y + t^7.48/y + (2*t^7.56)/y - t^7.65/y + (3*t^8.2)/y + (3*t^8.28)/y + (5*t^8.37)/y + (2*t^8.45)/y + (2*t^8.92)/y - t^4.52*y - t^6.84*y + t^7.39*y + t^7.48*y + 2*t^7.56*y - t^7.65*y + 3*t^8.2*y + 3*t^8.28*y + 5*t^8.37*y + 2*t^8.45*y + 2*t^8.92*y 2*g1*t^2.24 + t^2.32/g1^7 + g1^4*t^2.96 + t^3.04/g1^4 + (2*t^3.13)/g1^12 + g1^7*t^3.68 + (2*t^3.76)/g1 + 3*g1^10*t^4.39 + 3*g1^2*t^4.48 + (2*t^4.56)/g1^6 + t^4.65/g1^14 + 2*g1^5*t^5.2 + (3*t^5.28)/g1^3 + (3*t^5.37)/g1^11 + (2*t^5.45)/g1^19 + 2*g1^8*t^5.92 + (3*t^6.08)/g1^8 + (2*t^6.17)/g1^16 + (3*t^6.25)/g1^24 + 3*g1^11*t^6.63 + 6*g1^3*t^6.72 + (3*t^6.8)/g1^5 + (4*t^6.89)/g1^13 + t^6.97/g1^21 + g1^14*t^7.35 + 3*g1^6*t^7.44 + (6*t^7.52)/g1^2 + (5*t^7.61)/g1^10 + (3*t^7.69)/g1^18 + (2*t^7.77)/g1^26 + g1^17*t^8.07 + 3*g1^9*t^8.16 - 2*g1*t^8.24 + (5*t^8.41)/g1^15 + (4*t^8.49)/g1^23 + (3*t^8.58)/g1^31 + 5*g1^20*t^8.79 + 3*g1^12*t^8.87 + g1^4*t^8.96 - t^4.52/(g1^2*y) - t^6.84/(g1^9*y) + (g1^10*t^7.39)/y + (g1^2*t^7.48)/y + (2*t^7.56)/(g1^6*y) - t^7.65/(g1^14*y) + (3*g1^5*t^8.2)/y + (3*t^8.28)/(g1^3*y) + (5*t^8.37)/(g1^11*y) + (2*t^8.45)/(g1^19*y) + (2*g1^8*t^8.92)/y - (t^4.52*y)/g1^2 - (t^6.84*y)/g1^9 + g1^10*t^7.39*y + g1^2*t^7.48*y + (2*t^7.56*y)/g1^6 - (t^7.65*y)/g1^14 + 3*g1^5*t^8.2*y + (3*t^8.28*y)/g1^3 + (5*t^8.37*y)/g1^11 + (2*t^8.45*y)/g1^19 + 2*g1^8*t^8.92*y


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
2929 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_5$ 0.5969 0.7647 0.7806 [X:[], M:[0.9474, 1.1579, 0.7368, 1.2632, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] 2*t^2.21 + t^2.53 + t^2.84 + t^3.16 + 3*t^3.47 + 2*t^3.79 + 3*t^4.11 + 3*t^4.42 + 2*t^4.74 + 3*t^5.05 + 3*t^5.37 + 5*t^5.68 + 2*t^6. - t^4.58/y - t^4.58*y detail {a: 65511/109744, c: 41961/54872, M1: 18/19, M2: 22/19, M3: 14/19, M4: 24/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
2930 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ 0.6245 0.8105 0.7705 [X:[], M:[0.9922, 1.0234, 0.748, 1.252, 0.7637, 0.7637], q:[0.748, 0.2598], qb:[0.4883, 0.4883], phi:[0.5039]] 2*t^2.24 + 2*t^2.29 + t^2.98 + t^3.02 + 2*t^3.07 + 2*t^3.76 + 3*t^4.44 + 3*t^4.49 + 4*t^4.54 + 3*t^4.58 + 2*t^5.22 + 4*t^5.27 + 4*t^5.31 + 4*t^5.36 - t^6. - t^4.51/y - t^4.51*y detail


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
563 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ 0.5887 0.7456 0.7895 [X:[], M:[0.9784, 1.0648, 0.7446, 1.2554], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] 2*t^2.23 + t^2.94 + t^3.06 + 2*t^3.19 + 2*t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^5.17 + 2*t^5.3 + 2*t^5.43 + 4*t^5.87 - t^6. - t^4.53/y - t^4.53*y detail