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
57487	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	1.4741	1.6832	0.8758	[X:[], M:[0.9974], q:[0.5065, 0.491], qb:[0.5013, 0.4961], phi:[0.3342]]	[X:[], M:[[-3, 3]], 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
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-2	t^2.01 + t^2.96 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.96 + t^3.98 + 2*t^4.01 + t^4.03 + 2*t^4.97 + 2*t^4.98 + t^5. + 2*t^5.01 + 2*t^5.03 + t^5.47 + t^5.48 + t^5.5 + t^5.51 + t^5.92 + t^5.94 + t^5.95 + 3*t^5.97 + 3*t^5.98 - 2*t^6. + 3*t^6.02 + 2*t^6.03 + t^6.47 + t^6.49 + t^6.5 + t^6.52 + t^6.92 + 2*t^6.94 + t^6.96 + 5*t^6.97 + 5*t^6.99 + t^7. + 3*t^7.02 + 4*t^7.03 + t^7.43 + 2*t^7.47 + t^7.49 + t^7.5 + 2*t^7.52 + t^7.57 + 3*t^7.93 + 4*t^7.94 + 2*t^7.96 + 6*t^7.97 + 7*t^7.99 - t^8.01 + 4*t^8.02 + 5*t^8.04 + t^8.05 + t^8.43 + t^8.44 + t^8.46 + 3*t^8.48 + 2*t^8.49 + t^8.51 + t^8.52 - t^8.54 - t^8.55 + t^8.88 + t^8.9 + t^8.91 + 4*t^8.93 + 6*t^8.95 - t^8.96 + 5*t^8.98 + 7*t^8.99 - t^4./y - t^5.01/y - t^6.01/y - t^6.96/y - t^6.98/y - t^6.99/y - (2*t^7.01)/y - t^7.03/y + t^8./y - t^8.01/y + t^8.94/y + t^8.95/y + t^8.97/y + t^8.98/y - t^4.*y - t^5.01*y - t^6.01*y - t^6.96*y - t^6.98*y - t^6.99*y - 2*t^7.01*y - t^7.03*y + t^8.*y - t^8.01*y + t^8.94*y + t^8.95*y + t^8.97*y + t^8.98*y	(g1^2*t^2.01)/g2^2 + (g2^15*t^2.96)/g1^15 + (g2^9*t^2.98)/g1^9 + (g2^3*t^2.99)/g1^3 + (g1^3*t^3.01)/g2^3 + (g1^9*t^3.02)/g2^9 + (g2^14*t^3.96)/g1^14 + (g2^8*t^3.98)/g1^8 + (2*g1^4*t^4.01)/g2^4 + (g1^10*t^4.03)/g2^10 + (2*g2^13*t^4.97)/g1^13 + (2*g2^7*t^4.98)/g1^7 + (g2*t^5.)/g1 + (2*g1^5*t^5.01)/g2^5 + (2*g1^11*t^5.03)/g2^11 + (g2^8*t^5.47)/g1^26 + g1^7*g2^11*t^5.48 + g1^13*g2^5*t^5.5 + t^5.51/(g1^8*g2^10) + (g2^30*t^5.92)/g1^30 + (g2^24*t^5.94)/g1^24 + (g2^18*t^5.95)/g1^18 + (3*g2^12*t^5.97)/g1^12 + (3*g2^6*t^5.98)/g1^6 - 2*t^6. + (3*g1^6*t^6.02)/g2^6 + (2*g1^12*t^6.03)/g2^12 + (g2^7*t^6.47)/g1^25 + g1^8*g2^10*t^6.49 + g1^14*g2^4*t^6.5 + t^6.52/(g1^7*g2^11) + (g2^29*t^6.92)/g1^29 + (2*g2^23*t^6.94)/g1^23 + (g2^17*t^6.96)/g1^17 + (5*g2^11*t^6.97)/g1^11 + (5*g2^5*t^6.99)/g1^5 + (g1*t^7.)/g2 + (3*g1^7*t^7.02)/g2^7 + (4*g1^13*t^7.03)/g2^13 + (g2^24*t^7.43)/g1^42 + (2*g2^6*t^7.47)/g1^24 - t^7.49/g1^18 + 2*g1^9*g2^9*t^7.49 - t^7.5/(g1^12*g2^6) + 2*g1^15*g2^3*t^7.5 + (2*t^7.52)/(g1^6*g2^12) + (g1^12*t^7.57)/g2^30 + (3*g2^28*t^7.93)/g1^28 + (4*g2^22*t^7.94)/g1^22 + (2*g2^16*t^7.96)/g1^16 + (6*g2^10*t^7.97)/g1^10 + (7*g2^4*t^7.99)/g1^4 - (g1^2*t^8.01)/g2^2 + (4*g1^8*t^8.02)/g2^8 + (5*g1^14*t^8.04)/g2^14 + (g1^20*t^8.05)/g2^20 + (g2^23*t^8.43)/g1^41 + (g2^26*t^8.44)/g1^8 + (g2^20*t^8.46)/g1^2 + (3*g2^5*t^8.48)/g1^23 + 2*g1^10*g2^8*t^8.49 - t^8.51/(g1^11*g2^7) + 2*g1^16*g2^2*t^8.51 + (2*t^8.52)/(g1^5*g2^13) - (g1^22*t^8.52)/g2^4 - (g1^28*t^8.54)/g2^10 - (g1^7*t^8.55)/g2^25 + (g2^45*t^8.88)/g1^45 + (g2^39*t^8.9)/g1^39 + (g2^33*t^8.91)/g1^33 + (4*g2^27*t^8.93)/g1^27 + (6*g2^21*t^8.95)/g1^21 - (g2^15*t^8.96)/g1^15 + (5*g2^9*t^8.98)/g1^9 + (7*g2^3*t^8.99)/g1^3 - (g1*t^4.)/(g2*y) - (g1^2*t^5.01)/(g2^2*y) - (g1^3*t^6.01)/(g2^3*y) - (g2^14*t^6.96)/(g1^14*y) - (g2^8*t^6.98)/(g1^8*y) - (g2^2*t^6.99)/(g1^2*y) - (2*g1^4*t^7.01)/(g2^4*y) - (g1^10*t^7.03)/(g2^10*y) + (g2*t^8.)/(g1*y) - (g1^5*t^8.01)/(g2^5*y) + (g2^24*t^8.94)/(g1^24*y) + (g2^18*t^8.95)/(g1^18*y) + (g2^12*t^8.97)/(g1^12*y) + (g2^6*t^8.98)/(g1^6*y) - (g1*t^4.*y)/g2 - (g1^2*t^5.01*y)/g2^2 - (g1^3*t^6.01*y)/g2^3 - (g2^14*t^6.96*y)/g1^14 - (g2^8*t^6.98*y)/g1^8 - (g2^2*t^6.99*y)/g1^2 - (2*g1^4*t^7.01*y)/g2^4 - (g1^10*t^7.03*y)/g2^10 + (g2*t^8.*y)/g1 - (g1^5*t^8.01*y)/g2^5 + (g2^24*t^8.94*y)/g1^24 + (g2^18*t^8.95*y)/g1^18 + (g2^12*t^8.97*y)/g1^12 + (g2^6*t^8.98*y)/g1^6

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
59452	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.4745	1.6842	0.8755	[X:[], M:[0.9957, 0.9957], q:[0.5108, 0.485], qb:[0.5021, 0.4935], phi:[0.3348]]	t^2.01 + t^2.94 + t^2.96 + 2*t^2.99 + t^3.04 + t^3.94 + t^3.97 + 2*t^4.02 + t^4.04 + 2*t^4.94 + 2*t^4.97 + 2*t^5. + t^5.02 + 2*t^5.05 + t^5.45 + t^5.47 + t^5.5 + t^5.52 + t^5.87 + t^5.9 + 2*t^5.92 + 3*t^5.95 + 4*t^5.97 - 3*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y	detail
60716	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.4604	1.6711	0.8739	[X:[], M:[0.9913], q:[0.5719, 0.5199], qb:[0.4541, 0.4367], phi:[0.3362]]	t^2.02 + t^2.87 + t^2.92 + t^2.97 + t^3.03 + t^3.08 + t^3.88 + t^3.93 + 2*t^4.03 + t^4.09 + 2*t^4.89 + 2*t^4.94 + 2*t^4.99 + 3*t^5.04 + 2*t^5.1 + t^5.74 + t^5.79 + 2*t^5.84 + 3*t^5.9 + 3*t^5.95 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*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
47909	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4751	1.6878	0.874	[M:[0.9839], q:[0.4918, 0.4918], qb:[0.5082, 0.476], phi:[0.3387]]	t^2.032 + 2*t^2.904 + t^2.952 + 2*t^3. + 2*t^3.92 + 2*t^4.016 + t^4.064 + 4*t^4.936 + t^4.984 + 4*t^5.032 + t^5.397 + 2*t^5.443 + t^5.493 + 3*t^5.807 + 2*t^5.855 + 4*t^5.904 + 4*t^5.952 - 3*t^6. - t^4.016/y - t^5.032/y - t^4.016*y - t^5.032*y	detail