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
46854	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.6467	0.8082	0.8002	[M:[1.1947, 0.7877, 0.8053, 0.814, 0.8053], q:[0.4114, 0.3939], qb:[0.8009, 0.8009], phi:[0.3982]]	[M:[[-6], [-14], [6], [16], [6]], q:[[13], [-7]], qb:[[1], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$	${}M_{1}M_{5}$, ${ }\phi_{1}^{3}q_{1}q_{2}$	1	t^2.363 + t^2.389 + 2*t^2.416 + t^2.442 + t^3.584 + t^3.611 + t^3.637 + t^3.663 + t^4.726 + t^4.753 + 3*t^4.779 + 4*t^4.805 + 4*t^4.832 + 2*t^4.858 + t^4.884 + t^6. + 3*t^6.026 + 3*t^6.053 + 3*t^6.079 + t^6.105 + t^7.09 + t^7.116 + 2*t^7.142 + 3*t^7.168 + 4*t^7.195 + 5*t^7.221 + 7*t^7.247 + 5*t^7.274 + 3*t^7.3 + 2*t^7.326 - t^8.337 - 3*t^8.363 - 2*t^8.389 - t^8.416 + 3*t^8.442 + 6*t^8.468 + 6*t^8.495 + 3*t^8.521 + t^8.547 - t^4.195/y - t^6.558/y - t^6.584/y - t^6.611/y - t^6.637/y + (2*t^7.753)/y + (3*t^7.779)/y + (4*t^7.805)/y + (3*t^7.832)/y + (2*t^7.858)/y - t^8.921/y - t^4.195*y - t^6.558*y - t^6.584*y - t^6.611*y - t^6.637*y + 2*t^7.753*y + 3*t^7.779*y + 4*t^7.805*y + 3*t^7.832*y + 2*t^7.858*y - t^8.921*y	t^2.363/g1^14 + t^2.389/g1^4 + 2*g1^6*t^2.416 + g1^16*t^2.442 + t^3.584/g1^6 + g1^4*t^3.611 + g1^14*t^3.637 + g1^24*t^3.663 + t^4.726/g1^28 + t^4.753/g1^18 + (3*t^4.779)/g1^8 + 4*g1^2*t^4.805 + 4*g1^12*t^4.832 + 2*g1^22*t^4.858 + g1^32*t^4.884 + t^6. + 3*g1^10*t^6.026 + 3*g1^20*t^6.053 + 3*g1^30*t^6.079 + g1^40*t^6.105 + t^7.09/g1^42 + t^7.116/g1^32 + (2*t^7.142)/g1^22 + (3*t^7.168)/g1^12 + (4*t^7.195)/g1^2 + 5*g1^8*t^7.221 + 7*g1^18*t^7.247 + 5*g1^28*t^7.274 + 3*g1^38*t^7.3 + 2*g1^48*t^7.326 - t^8.337/g1^24 - (3*t^8.363)/g1^14 - (2*t^8.389)/g1^4 - g1^6*t^8.416 + 3*g1^16*t^8.442 + 6*g1^26*t^8.468 + 6*g1^36*t^8.495 + 3*g1^46*t^8.521 + g1^56*t^8.547 - t^4.195/(g1^2*y) - t^6.558/(g1^16*y) - t^6.584/(g1^6*y) - (g1^4*t^6.611)/y - (g1^14*t^6.637)/y + (2*t^7.753)/(g1^18*y) + (3*t^7.779)/(g1^8*y) + (4*g1^2*t^7.805)/y + (3*g1^12*t^7.832)/y + (2*g1^22*t^7.858)/y - t^8.921/(g1^30*y) - (t^4.195*y)/g1^2 - (t^6.558*y)/g1^16 - (t^6.584*y)/g1^6 - g1^4*t^6.611*y - g1^14*t^6.637*y + (2*t^7.753*y)/g1^18 + (3*t^7.779*y)/g1^8 + 4*g1^2*t^7.805*y + 3*g1^12*t^7.832*y + 2*g1^22*t^7.858*y - (t^8.921*y)/g1^30

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
46442	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6307	0.7795	0.809	[M:[1.191, 0.779, 0.809, 0.824], q:[0.4195, 0.3895], qb:[0.8015, 0.8015], phi:[0.397]]	t^2.337 + t^2.382 + t^2.427 + t^2.472 + 2*t^3.573 + t^3.618 + t^3.663 + t^3.708 + t^4.674 + t^4.719 + 2*t^4.764 + 3*t^4.809 + 2*t^4.854 + t^4.899 + t^4.944 + t^5.91 + t^5.955 + t^6. - t^4.191/y - t^4.191*y	detail