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
1834	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6483	0.8256	0.7853	[M:[1.2243, 1.1122, 0.7757, 0.7757, 0.7757], q:[0.75, 0.4135], qb:[0.3622, 0.4743], phi:[0.5]]	[M:[[2], [1], [-2], [-2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}$	-2	3*t^2.327 + t^2.509 + t^3. + 2*t^3.336 + t^3.491 + t^3.827 + t^3.981 + t^4.009 + t^4.164 + t^4.346 + 6*t^4.654 + 3*t^4.836 + t^5.019 + 3*t^5.327 + t^5.509 + 5*t^5.664 + 2*t^5.818 + t^5.846 - 2*t^6. + 2*t^6.154 - t^6.182 + 3*t^6.308 + 3*t^6.336 + 3*t^6.491 + t^6.519 + 4*t^6.673 + t^6.827 + t^6.855 + 11*t^6.981 - t^7.009 + 5*t^7.164 + t^7.318 + 3*t^7.346 + t^7.472 - t^7.5 + t^7.528 + 5*t^7.654 + t^7.808 + t^7.836 + t^7.962 + 9*t^7.991 + t^8.019 + 4*t^8.145 + 2*t^8.173 - 6*t^8.327 + 2*t^8.355 + 3*t^8.481 - 4*t^8.509 + 6*t^8.635 + 4*t^8.664 + 5*t^8.818 + 2*t^8.846 - t^4.5/y - (2*t^6.827)/y + t^7.164/y + (3*t^7.654)/y + (2*t^7.836)/y + (2*t^8.173)/y + (3*t^8.327)/y + t^8.509/y + (6*t^8.664)/y + (3*t^8.818)/y + (2*t^8.846)/y - t^4.5*y - 2*t^6.827*y + t^7.164*y + 3*t^7.654*y + 2*t^7.836*y + 2*t^8.173*y + 3*t^8.327*y + t^8.509*y + 6*t^8.664*y + 3*t^8.818*y + 2*t^8.846*y	(3*t^2.327)/g1^2 + g1^3*t^2.509 + t^3. + 2*g1*t^3.336 + t^3.491/g1^3 + t^3.827/g1^2 + t^3.981/g1^6 + g1^3*t^4.009 + t^4.164/g1 + g1^4*t^4.346 + (6*t^4.654)/g1^4 + 3*g1*t^4.836 + g1^6*t^5.019 + (3*t^5.327)/g1^2 + g1^3*t^5.509 + (5*t^5.664)/g1 + (2*t^5.818)/g1^5 + g1^4*t^5.846 - 2*t^6. + (2*t^6.154)/g1^4 - g1^5*t^6.182 + (3*t^6.308)/g1^8 + 3*g1*t^6.336 + (3*t^6.491)/g1^3 + g1^6*t^6.519 + 4*g1^2*t^6.673 + t^6.827/g1^2 + g1^7*t^6.855 + (11*t^6.981)/g1^6 - g1^3*t^7.009 + (5*t^7.164)/g1 + t^7.318/g1^5 + 3*g1^4*t^7.346 + t^7.472/g1^9 - t^7.5 + g1^9*t^7.528 + (5*t^7.654)/g1^4 + t^7.808/g1^8 + g1*t^7.836 + t^7.962/g1^12 + (9*t^7.991)/g1^3 + g1^6*t^8.019 + (4*t^8.145)/g1^7 + 2*g1^2*t^8.173 - (6*t^8.327)/g1^2 + 2*g1^7*t^8.355 + (3*t^8.481)/g1^6 - 4*g1^3*t^8.509 + (6*t^8.635)/g1^10 + (4*t^8.664)/g1 + (5*t^8.818)/g1^5 + 2*g1^4*t^8.846 - t^4.5/y - (2*t^6.827)/(g1^2*y) + t^7.164/(g1*y) + (3*t^7.654)/(g1^4*y) + (2*g1*t^7.836)/y + (2*g1^2*t^8.173)/y + (3*t^8.327)/(g1^2*y) + (g1^3*t^8.509)/y + (6*t^8.664)/(g1*y) + (3*t^8.818)/(g1^5*y) + (2*g1^4*t^8.846)/y - t^4.5*y - (2*t^6.827*y)/g1^2 + (t^7.164*y)/g1 + (3*t^7.654*y)/g1^4 + 2*g1*t^7.836*y + 2*g1^2*t^8.173*y + (3*t^8.327*y)/g1^2 + g1^3*t^8.509*y + (6*t^8.664*y)/g1 + (3*t^8.818*y)/g1^5 + 2*g1^4*t^8.846*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
2855	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}q_{2}$	0.6461	0.8211	0.7869	[M:[1.2, 1.1, 0.8, 0.8, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]]	4*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^3.9 + 3*t^4.2 + 10*t^4.8 + 4*t^5.4 + 6*t^5.7 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 5169/8000, c: 6569/8000, M1: 6/5, M2: 11/10, M3: 4/5, M4: 4/5, M5: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2}
2856	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6691	0.8669	0.7718	[M:[1.2235, 1.1117, 0.7765, 0.7765, 0.7765, 0.6704], q:[0.75, 0.4148], qb:[0.3617, 0.4735], phi:[0.5]]	t^2.011 + 3*t^2.33 + t^2.506 + t^3. + 2*t^3.335 + t^3.494 + t^3.83 + t^4.006 + t^4.023 + t^4.165 + 4*t^4.341 + t^4.517 + 6*t^4.659 + 3*t^4.835 + 2*t^5.011 + 3*t^5.33 + 2*t^5.346 + 2*t^5.506 + 5*t^5.665 + 2*t^5.824 + 2*t^5.841 - 2*t^6. - t^4.5/y - t^4.5*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
396	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$	0.6306	0.7937	0.7946	[M:[1.2171, 1.1085, 0.7829, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]]	2*t^2.349 + t^2.477 + t^3. + 2*t^3.326 + t^3.523 + t^3.651 + t^3.849 + t^3.977 + t^4.047 + t^4.174 + t^4.302 + 3*t^4.698 + 2*t^4.826 + t^4.953 + 2*t^5.349 + t^5.477 + 3*t^5.674 + t^5.802 + t^5.872 - t^4.5/y - t^4.5*y	detail	{a: 895529/1420032, c: 1127041/1420032, M1: 157/129, M2: 143/129, M3: 101/129, M4: 101/129, q1: 3/4, q2: 73/172, qb1: 185/516, qb2: 241/516, phi1: 1/2}