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
58349	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}M_{8}$	0.698	0.8534	0.8179	[M:[1.0, 1.0273, 0.9454, 0.9181, 1.0273, 0.9727, 1.0819, 0.9727], q:[0.4454, 0.5546], qb:[0.5273, 0.5273], phi:[0.4864]]	[M:[[0], [2], [-4], [-6], [2], [-2], [6], [-2]], q:[[-4], [4]], qb:[[2], [2]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$	${}$	-5	t^2.836 + 3*t^2.918 + t^3. + 2*t^3.246 + t^4.132 + 2*t^4.377 + t^4.459 + 3*t^4.623 + 2*t^4.705 + t^4.787 + t^5.754 + 7*t^5.836 + t^5.918 - 5*t^6. + 5*t^6.164 - t^6.327 + 3*t^6.491 + t^6.968 + 3*t^7.05 - t^7.213 + 6*t^7.295 + 3*t^7.377 - 3*t^7.459 + 6*t^7.541 + 9*t^7.623 - 2*t^7.787 + 3*t^7.868 + 3*t^7.95 + 2*t^8.032 + t^8.263 + 2*t^8.509 - t^8.591 + t^8.673 + 14*t^8.754 + t^8.836 - 16*t^8.918 - t^4.459/y - t^7.295/y - t^7.377/y + t^7.541/y + t^7.623/y + (3*t^8.754)/y + (4*t^8.836)/y + (3*t^8.918)/y - t^4.459*y - t^7.295*y - t^7.377*y + t^7.541*y + t^7.623*y + 3*t^8.754*y + 4*t^8.836*y + 3*t^8.918*y	t^2.836/g1^4 + (3*t^2.918)/g1^2 + t^3. + 2*g1^6*t^3.246 + t^4.132/g1^9 + (2*t^4.377)/g1^3 + t^4.459/g1 + 3*g1^3*t^4.623 + 2*g1^5*t^4.705 + g1^7*t^4.787 + t^5.754/g1^6 + (7*t^5.836)/g1^4 + t^5.918/g1^2 - 5*t^6. + 5*g1^4*t^6.164 - g1^8*t^6.327 + 3*g1^12*t^6.491 + t^6.968/g1^13 + (3*t^7.05)/g1^11 - t^7.213/g1^7 + (6*t^7.295)/g1^5 + (3*t^7.377)/g1^3 - (3*t^7.459)/g1 + 6*g1*t^7.541 + 9*g1^3*t^7.623 - 2*g1^7*t^7.787 + 3*g1^9*t^7.868 + 3*g1^11*t^7.95 + 2*g1^13*t^8.032 + t^8.263/g1^18 + (2*t^8.509)/g1^12 - t^8.591/g1^10 + t^8.673/g1^8 + (14*t^8.754)/g1^6 + t^8.836/g1^4 - (16*t^8.918)/g1^2 - t^4.459/(g1*y) - t^7.295/(g1^5*y) - t^7.377/(g1^3*y) + (g1*t^7.541)/y + (g1^3*t^7.623)/y + (3*t^8.754)/(g1^6*y) + (4*t^8.836)/(g1^4*y) + (3*t^8.918)/(g1^2*y) - (t^4.459*y)/g1 - (t^7.295*y)/g1^5 - (t^7.377*y)/g1^3 + g1*t^7.541*y + g1^3*t^7.623*y + (3*t^8.754*y)/g1^6 + (4*t^8.836*y)/g1^4 + (3*t^8.918*y)/g1^2

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
56172	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{7}$	0.6957	0.8499	0.8186	[M:[1.0, 1.022, 0.956, 0.934, 1.022, 0.978, 1.066], q:[0.456, 0.544], qb:[0.522, 0.522], phi:[0.489]]	t^2.868 + 2*t^2.934 + t^3. + t^3.066 + 2*t^3.198 + t^4.203 + 2*t^4.401 + t^4.467 + 3*t^4.599 + 2*t^4.665 + t^4.731 + 4*t^5.868 + t^5.934 - 3*t^6. - t^4.467/y - t^4.467*y	detail