Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
59416	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	1.4756	1.6874	0.8745	[X:[], M:[0.9923, 0.977], q:[0.5194, 0.4733], qb:[0.5036, 0.4882], phi:[0.3359]]	[X:[], M:[[-3, 3], [-9, 9]], q:[[3, -9], [-15, 9]], qb:[[6, 0], [0, 6]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.02 + t^2.88 + 2*t^2.93 + t^2.98 + t^3.02 + t^3.89 + t^3.94 + 2*t^4.03 + t^4.08 + 2*t^4.9 + 3*t^4.95 + t^4.99 + 2*t^5.04 + t^5.08 + t^5.41 + t^5.45 + t^5.49 + t^5.54 + t^5.77 + 2*t^5.82 + 3*t^5.86 + 4*t^5.91 + 3*t^5.95 - 3*t^6. + 2*t^6.05 + t^6.09 - t^6.14 + t^6.41 + t^6.46 + t^6.5 + t^6.55 + t^6.78 + 3*t^6.82 + 2*t^6.87 + 5*t^6.92 + 6*t^6.96 + t^7.01 + 3*t^7.05 + 2*t^7.1 - t^7.15 + t^7.28 + 2*t^7.42 + 2*t^7.46 - t^7.47 + t^7.51 + 2*t^7.56 + t^7.7 + 3*t^7.78 + 6*t^7.83 + 5*t^7.88 + 7*t^7.92 + 7*t^7.97 - 2*t^8.02 + 3*t^8.06 + 3*t^8.11 - t^8.15 + t^8.29 + t^8.33 + t^8.34 + 2*t^8.38 + t^8.42 + 3*t^8.43 + 2*t^8.47 - 2*t^8.56 + 2*t^8.57 - 2*t^8.61 + t^8.65 - t^8.66 + 2*t^8.7 + 3*t^8.75 + 7*t^8.79 + 9*t^8.84 + t^8.88 + t^8.93 + 6*t^8.98 - t^4.01/y - t^5.02/y - t^6.02/y - t^6.89/y - (2*t^6.94)/y - t^6.98/y - (2*t^7.03)/y + t^7.99/y - t^8.04/y + (2*t^8.82)/y + (2*t^8.86)/y + (2*t^8.91)/y - t^4.01*y - t^5.02*y - t^6.02*y - t^6.89*y - 2*t^6.94*y - t^6.98*y - 2*t^7.03*y + t^7.99*y - t^8.04*y + 2*t^8.82*y + 2*t^8.86*y + 2*t^8.91*y	(g1^2*t^2.02)/g2^2 + (g2^15*t^2.88)/g1^15 + (2*g2^9*t^2.93)/g1^9 + (g2^3*t^2.98)/g1^3 + (g1^3*t^3.02)/g2^3 + (g2^14*t^3.89)/g1^14 + (g2^8*t^3.94)/g1^8 + (2*g1^4*t^4.03)/g2^4 + (g1^10*t^4.08)/g2^10 + (2*g2^13*t^4.9)/g1^13 + (3*g2^7*t^4.95)/g1^7 + (g2*t^4.99)/g1 + (2*g1^5*t^5.04)/g2^5 + (g1^11*t^5.08)/g2^11 + (g2^8*t^5.41)/g1^26 + g1^7*g2^11*t^5.45 + g1^13*g2^5*t^5.49 + t^5.54/(g1^8*g2^10) + (g2^30*t^5.77)/g1^30 + (2*g2^24*t^5.82)/g1^24 + (3*g2^18*t^5.86)/g1^18 + (4*g2^12*t^5.91)/g1^12 + (3*g2^6*t^5.95)/g1^6 - 3*t^6. + (2*g1^6*t^6.05)/g2^6 + (g1^12*t^6.09)/g2^12 - (g1^18*t^6.14)/g2^18 + (g2^7*t^6.41)/g1^25 + g1^8*g2^10*t^6.46 + g1^14*g2^4*t^6.5 + t^6.55/(g1^7*g2^11) + (g2^29*t^6.78)/g1^29 + (3*g2^23*t^6.82)/g1^23 + (2*g2^17*t^6.87)/g1^17 + (5*g2^11*t^6.92)/g1^11 + (6*g2^5*t^6.96)/g1^5 + (g1*t^7.01)/g2 + (3*g1^7*t^7.05)/g2^7 + (2*g1^13*t^7.1)/g2^13 - (g1^19*t^7.15)/g2^19 + (g2^24*t^7.28)/g1^42 + (2*g2^6*t^7.42)/g1^24 + 2*g1^9*g2^9*t^7.46 - t^7.47/g1^18 - t^7.51/(g1^12*g2^6) + 2*g1^15*g2^3*t^7.51 + (2*t^7.56)/(g1^6*g2^12) + (g1^12*t^7.7)/g2^30 + (3*g2^28*t^7.78)/g1^28 + (6*g2^22*t^7.83)/g1^22 + (5*g2^16*t^7.88)/g1^16 + (7*g2^10*t^7.92)/g1^10 + (7*g2^4*t^7.97)/g1^4 - (2*g1^2*t^8.02)/g2^2 + (3*g1^8*t^8.06)/g2^8 + (3*g1^14*t^8.11)/g2^14 - (g1^20*t^8.15)/g2^20 + (g2^23*t^8.29)/g1^41 + (g2^26*t^8.33)/g1^8 + (g2^17*t^8.34)/g1^35 + (2*g2^20*t^8.38)/g1^2 + g1^4*g2^14*t^8.42 + (3*g2^5*t^8.43)/g1^23 + 2*g1^10*g2^8*t^8.47 - t^8.52/(g1^11*g2^7) + g1^16*g2^2*t^8.52 - (2*g1^22*t^8.56)/g2^4 + (2*t^8.57)/(g1^5*g2^13) - (g1*t^8.61)/g2^19 - (g1^28*t^8.61)/g2^10 + (g2^45*t^8.65)/g1^45 - (g1^7*t^8.66)/g2^25 + (2*g2^39*t^8.7)/g1^39 + (3*g2^33*t^8.75)/g1^33 + (7*g2^27*t^8.79)/g1^27 + (9*g2^21*t^8.84)/g1^21 + (g2^15*t^8.88)/g1^15 + (g2^9*t^8.93)/g1^9 + (6*g2^3*t^8.98)/g1^3 - (g1*t^4.01)/(g2*y) - (g1^2*t^5.02)/(g2^2*y) - (g1^3*t^6.02)/(g2^3*y) - (g2^14*t^6.89)/(g1^14*y) - (2*g2^8*t^6.94)/(g1^8*y) - (g2^2*t^6.98)/(g1^2*y) - (2*g1^4*t^7.03)/(g2^4*y) + (g2*t^7.99)/(g1*y) - (g1^5*t^8.04)/(g2^5*y) + (2*g2^24*t^8.82)/(g1^24*y) + (2*g2^18*t^8.86)/(g1^18*y) + (2*g2^12*t^8.91)/(g1^12*y) - (g1*t^4.01*y)/g2 - (g1^2*t^5.02*y)/g2^2 - (g1^3*t^6.02*y)/g2^3 - (g2^14*t^6.89*y)/g1^14 - (2*g2^8*t^6.94*y)/g1^8 - (g2^2*t^6.98*y)/g1^2 - (2*g1^4*t^7.03*y)/g2^4 + (g2*t^7.99*y)/g1 - (g1^5*t^8.04*y)/g2^5 + (2*g2^24*t^8.82*y)/g1^24 + (2*g2^18*t^8.86*y)/g1^18 + (2*g2^12*t^8.91*y)/g1^12

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
61236	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4531	1.6405	0.8858	[X:[1.3339], M:[1.0009, 1.0026, 0.9957], q:[0.4978, 0.503], qb:[0.4996, 0.5013], phi:[0.333]]	t^2.99 + 2*t^3. + 2*t^3.01 + t^3.99 + 2*t^4. + 2*t^4.01 + t^4.99 + t^5. + 2*t^5.01 + 2*t^5.5 + 2*t^5.51 + t^5.97 + 3*t^5.99 - 3*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*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
57492	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.4759	1.6897	0.8735	[X:[], M:[0.984, 0.9818], q:[0.5102, 0.4739], qb:[0.508, 0.476], phi:[0.3387]]	t^2.03 + t^2.85 + 3*t^2.95 + t^2.96 + t^3.87 + t^3.96 + t^3.97 + t^4.06 + t^4.07 + 2*t^4.88 + 4*t^4.98 + 2*t^4.99 + t^5.09 + t^5.39 + t^5.4 + t^5.49 + t^5.5 + t^5.7 + 3*t^5.8 + t^5.81 + 2*t^5.89 + 5*t^5.9 + t^5.91 + t^5.92 + t^5.99 - 4*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*y	detail