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 =

Search for theories with rational R-charges and central 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
47211	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.5872	0.7416	0.7919	[M:[1.0608, 0.9392, 0.6962, 1.1823, 0.6962], q:[0.6133, 0.3259], qb:[0.4475, 0.9778], phi:[0.4089]]	[M:[[4], [-4], [-20], [12], [-20]], q:[[-9], [5]], qb:[[13], [15]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$	${}$	-1	2*t^2.089 + t^2.32 + t^2.818 + 2*t^3.182 + 2*t^3.547 + 3*t^4.177 + t^4.276 + 2*t^4.409 + t^4.64 + t^4.773 + 2*t^4.906 + t^5.138 + 3*t^5.271 + 2*t^5.502 + 3*t^5.635 + 2*t^5.867 - t^6. + 4*t^6.266 + 4*t^6.365 + 2*t^6.498 + t^6.596 + 3*t^6.729 + t^6.961 + 3*t^6.995 + 2*t^7.094 + 4*t^7.36 + t^7.458 + t^7.591 + 4*t^7.724 + 3*t^7.823 + 2*t^7.956 - 3*t^8.089 + 2*t^8.187 - t^8.32 + 5*t^8.355 + 5*t^8.453 + t^8.552 + 2*t^8.586 + 2*t^8.685 - t^8.818 + t^8.916 - t^4.227/y - (2*t^6.315)/y + t^7.177/y + (2*t^7.409)/y + (2*t^7.906)/y + (3*t^8.138)/y + (4*t^8.271)/y - (3*t^8.404)/y + (2*t^8.502)/y + (4*t^8.635)/y + (2*t^8.867)/y - t^4.227*y - 2*t^6.315*y + t^7.177*y + 2*t^7.409*y + 2*t^7.906*y + 3*t^8.138*y + 4*t^8.271*y - 3*t^8.404*y + 2*t^8.502*y + 4*t^8.635*y + 2*t^8.867*y	(2*t^2.089)/g1^20 + g1^18*t^2.32 + t^2.818/g1^4 + 2*g1^4*t^3.182 + 2*g1^12*t^3.547 + (3*t^4.177)/g1^40 + g1^28*t^4.276 + (2*t^4.409)/g1^2 + g1^36*t^4.64 + g1^6*t^4.773 + (2*t^4.906)/g1^24 + g1^14*t^5.138 + (3*t^5.271)/g1^16 + 2*g1^22*t^5.502 + (3*t^5.635)/g1^8 + 2*g1^30*t^5.867 - t^6. + (4*t^6.266)/g1^60 + 4*g1^8*t^6.365 + (2*t^6.498)/g1^22 + g1^46*t^6.596 + 3*g1^16*t^6.729 + g1^54*t^6.961 + (3*t^6.995)/g1^44 + 2*g1^24*t^7.094 + (4*t^7.36)/g1^36 + g1^32*t^7.458 + g1^2*t^7.591 + (4*t^7.724)/g1^28 + 3*g1^40*t^7.823 + 2*g1^10*t^7.956 - (3*t^8.089)/g1^20 + 2*g1^48*t^8.187 - g1^18*t^8.32 + (5*t^8.355)/g1^80 + (5*t^8.453)/g1^12 + g1^56*t^8.552 + (2*t^8.586)/g1^42 + 2*g1^26*t^8.685 - t^8.818/g1^4 + g1^64*t^8.916 - t^4.227/(g1^6*y) - (2*t^6.315)/(g1^26*y) + t^7.177/(g1^40*y) + (2*t^7.409)/(g1^2*y) + (2*t^7.906)/(g1^24*y) + (3*g1^14*t^8.138)/y + (4*t^8.271)/(g1^16*y) - (3*t^8.404)/(g1^46*y) + (2*g1^22*t^8.502)/y + (4*t^8.635)/(g1^8*y) + (2*g1^30*t^8.867)/y - (t^4.227*y)/g1^6 - (2*t^6.315*y)/g1^26 + (t^7.177*y)/g1^40 + (2*t^7.409*y)/g1^2 + (2*t^7.906*y)/g1^24 + 3*g1^14*t^8.138*y + (4*t^8.271*y)/g1^16 - (3*t^8.404*y)/g1^46 + 2*g1^22*t^8.502*y + (4*t^8.635*y)/g1^8 + 2*g1^30*t^8.867*y

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

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
46556	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$	0.5667	0.7026	0.8065	[M:[1.0591, 0.9409, 0.7045, 1.1773], q:[0.617, 0.3239], qb:[0.442, 0.9716], phi:[0.4114]]	t^2.114 + t^2.298 + t^2.823 + 2*t^3.177 + 2*t^3.532 + t^3.886 + t^4.227 + t^4.241 + t^4.411 + t^4.595 + t^4.766 + t^4.936 + t^5.12 + t^5.291 + 2*t^5.475 + t^5.645 + 2*t^5.83 - t^4.234/y - t^4.234*y	detail