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
56040	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7056	0.8717	0.8095	[M:[1.0242, 0.8789, 0.9273, 1.0727, 0.9273, 1.0242, 0.9273], q:[0.5606, 0.4152], qb:[0.5606, 0.5121], phi:[0.4879]]	[M:[[2], [-10], [-6], [6], [-6], [2], [-6]], q:[[5], [-7]], qb:[[5], [1]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$	${}M_{6}\phi_{1}^{2}$	-4	t^2.637 + 3*t^2.782 + t^2.927 + 2*t^3.073 + t^3.955 + t^4.246 + 2*t^4.391 + t^4.536 + 2*t^4.682 + 3*t^4.827 + t^5.273 + 3*t^5.419 + 5*t^5.564 + 4*t^5.709 + 5*t^5.855 - 4*t^6. - t^6.291 - 2*t^6.436 + t^6.591 + 3*t^6.737 + 2*t^6.882 + 4*t^7.028 + 5*t^7.173 + 5*t^7.318 + 5*t^7.464 + 5*t^7.609 + 2*t^7.754 + 2*t^7.91 - 2*t^8.045 + 3*t^8.055 + 6*t^8.2 + 10*t^8.346 + 7*t^8.491 + 5*t^8.637 - 6*t^8.782 - 4*t^8.927 - t^4.464/y - t^7.1/y - (2*t^7.246)/y + t^7.391/y - t^7.536/y + (2*t^7.682)/y + t^7.827/y + (3*t^8.419)/y + (4*t^8.564)/y + (5*t^8.709)/y + (6*t^8.855)/y - t^4.464*y - t^7.1*y - 2*t^7.246*y + t^7.391*y - t^7.536*y + 2*t^7.682*y + t^7.827*y + 3*t^8.419*y + 4*t^8.564*y + 5*t^8.709*y + 6*t^8.855*y	t^2.637/g1^10 + (3*t^2.782)/g1^6 + t^2.927/g1^2 + 2*g1^2*t^3.073 + t^3.955/g1^15 + t^4.246/g1^7 + (2*t^4.391)/g1^3 + g1*t^4.536 + 2*g1^5*t^4.682 + 3*g1^9*t^4.827 + t^5.273/g1^20 + (3*t^5.419)/g1^16 + (5*t^5.564)/g1^12 + (4*t^5.709)/g1^8 + (5*t^5.855)/g1^4 - 4*t^6. - g1^8*t^6.291 - 2*g1^12*t^6.436 + t^6.591/g1^25 + (3*t^6.737)/g1^21 + (2*t^6.882)/g1^17 + (4*t^7.028)/g1^13 + (5*t^7.173)/g1^9 + (5*t^7.318)/g1^5 + (5*t^7.464)/g1 + 5*g1^3*t^7.609 + 2*g1^7*t^7.754 + (2*t^7.91)/g1^30 - 2*g1^15*t^8.045 + (3*t^8.055)/g1^26 + (6*t^8.2)/g1^22 + (10*t^8.346)/g1^18 + (7*t^8.491)/g1^14 + (5*t^8.637)/g1^10 - (6*t^8.782)/g1^6 - (4*t^8.927)/g1^2 - t^4.464/(g1*y) - t^7.1/(g1^11*y) - (2*t^7.246)/(g1^7*y) + t^7.391/(g1^3*y) - (g1*t^7.536)/y + (2*g1^5*t^7.682)/y + (g1^9*t^7.827)/y + (3*t^8.419)/(g1^16*y) + (4*t^8.564)/(g1^12*y) + (5*t^8.709)/(g1^8*y) + (6*t^8.855)/(g1^4*y) - (t^4.464*y)/g1 - (t^7.1*y)/g1^11 - (2*t^7.246*y)/g1^7 + (t^7.391*y)/g1^3 - g1*t^7.536*y + 2*g1^5*t^7.682*y + g1^9*t^7.827*y + (3*t^8.419*y)/g1^16 + (4*t^8.564*y)/g1^12 + (5*t^8.709*y)/g1^8 + (6*t^8.855*y)/g1^4

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
58237	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.7264	0.9124	0.7961	[M:[1.0235, 0.8827, 0.9296, 1.0704, 0.9296, 1.0235, 0.9296, 0.676], q:[0.5587, 0.4179], qb:[0.5587, 0.5117], phi:[0.4883]]	t^2.028 + t^2.648 + 3*t^2.789 + t^2.93 + 2*t^3.07 + t^4.056 + t^4.254 + 2*t^4.394 + t^4.535 + 3*t^4.676 + 6*t^4.817 + t^4.958 + 2*t^5.098 + t^5.296 + 3*t^5.437 + 5*t^5.578 + 4*t^5.718 + 5*t^5.859 - 4*t^6. - t^4.465/y - t^4.465*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
50810	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.6996	0.86	0.8135	[M:[1.0188, 0.9061, 0.9437, 1.0563, 0.9437, 1.0188], q:[0.5469, 0.4343], qb:[0.5469, 0.5094], phi:[0.4906]]	t^2.718 + 2*t^2.831 + t^2.944 + 2*t^3.056 + t^3.169 + t^4.078 + t^4.303 + 2*t^4.416 + t^4.528 + 2*t^4.641 + 3*t^4.753 + t^5.437 + 2*t^5.549 + 2*t^5.662 + 3*t^5.775 + 4*t^5.887 - 2*t^6. - t^4.472/y - t^4.472*y	detail