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
50938	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$	0.6977	0.8557	0.8153	[M:[1.0564, 0.9812, 0.9436, 0.9812, 1.0188, 0.9436], q:[0.4906, 0.453], qb:[0.5282, 0.5658], phi:[0.4906]]	[M:[[6], [-2], [-6], [-2], [2], [-6]], q:[[-1], [-5]], qb:[[3], [7]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$	${}M_{2}M_{5}$	-1	2*t^2.831 + 3*t^2.944 + t^3.056 + t^3.282 + t^4.19 + t^4.303 + 2*t^4.415 + 2*t^4.528 + 2*t^4.641 + t^4.754 + t^4.866 + 2*t^5.662 + 4*t^5.775 + 5*t^5.887 - t^6. - t^6.113 + t^6.225 + t^6.564 + 2*t^7.021 + 4*t^7.134 + 4*t^7.246 + 5*t^7.359 + 5*t^7.472 + 3*t^7.585 + 2*t^7.697 + 2*t^7.81 + t^7.923 + t^8.035 + t^8.148 + t^8.38 + 3*t^8.493 + 5*t^8.605 + 7*t^8.718 + 4*t^8.831 - 5*t^8.944 - t^4.472/y - t^7.303/y - (2*t^7.415)/y + (2*t^7.528)/y + t^7.641/y + t^8.662/y + (6*t^8.775)/y + (5*t^8.887)/y - t^4.472*y - t^7.303*y - 2*t^7.415*y + 2*t^7.528*y + t^7.641*y + t^8.662*y + 6*t^8.775*y + 5*t^8.887*y	(2*t^2.831)/g1^6 + (3*t^2.944)/g1^2 + g1^2*t^3.056 + g1^10*t^3.282 + t^4.19/g1^11 + t^4.303/g1^7 + (2*t^4.415)/g1^3 + 2*g1*t^4.528 + 2*g1^5*t^4.641 + g1^9*t^4.754 + g1^13*t^4.866 + (2*t^5.662)/g1^12 + (4*t^5.775)/g1^8 + (5*t^5.887)/g1^4 - t^6. - g1^4*t^6.113 + g1^8*t^6.225 + g1^20*t^6.564 + (2*t^7.021)/g1^17 + (4*t^7.134)/g1^13 + (4*t^7.246)/g1^9 + (5*t^7.359)/g1^5 + (5*t^7.472)/g1 + 3*g1^3*t^7.585 + 2*g1^7*t^7.697 + 2*g1^11*t^7.81 + g1^15*t^7.923 + g1^19*t^8.035 + g1^23*t^8.148 + t^8.38/g1^22 + (3*t^8.493)/g1^18 + (5*t^8.605)/g1^14 + (7*t^8.718)/g1^10 + (4*t^8.831)/g1^6 - (5*t^8.944)/g1^2 - t^4.472/(g1*y) - t^7.303/(g1^7*y) - (2*t^7.415)/(g1^3*y) + (2*g1*t^7.528)/y + (g1^5*t^7.641)/y + t^8.662/(g1^12*y) + (6*t^8.775)/(g1^8*y) + (5*t^8.887)/(g1^4*y) - (t^4.472*y)/g1 - (t^7.303*y)/g1^7 - (2*t^7.415*y)/g1^3 + 2*g1*t^7.528*y + g1^5*t^7.641*y + (t^8.662*y)/g1^12 + (6*t^8.775*y)/g1^8 + (5*t^8.887*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
56033	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$	0.6995	0.8591	0.8142	[M:[1.0644, 0.9785, 0.9356, 0.9785, 1.0215, 0.9356, 0.9785], q:[0.4893, 0.4464], qb:[0.5322, 0.5751], phi:[0.4893]]	2*t^2.807 + 4*t^2.936 + t^3.322 + t^4.146 + t^4.275 + 2*t^4.403 + 2*t^4.532 + 2*t^4.661 + t^4.79 + t^4.918 + 2*t^5.614 + 6*t^5.743 + 7*t^5.871 - 4*t^6. - t^4.468/y - t^4.468*y	detail
56034	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$	0.7086	0.8769	0.8081	[M:[1.0889, 0.9704, 0.9111, 0.9704, 1.0296, 0.9111, 0.8519], q:[0.4852, 0.426], qb:[0.5444, 0.6037], phi:[0.4852]]	t^2.556 + 2*t^2.733 + 3*t^2.911 + t^3.089 + t^4.011 + t^4.189 + 2*t^4.367 + 2*t^4.544 + 2*t^4.722 + t^4.9 + t^5.078 + t^5.111 + 2*t^5.289 + 5*t^5.467 + 5*t^5.645 + 5*t^5.822 - t^6. - t^4.456/y - t^4.456*y	detail
56024	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6402	0.8037	0.7966	[M:[1.2308, 0.9231, 0.7692, 0.9231, 1.0769, 0.7692], q:[0.4615, 0.3077], qb:[0.6154, 0.7692], phi:[0.4615]]	2*t^2.308 + 3*t^2.769 + 2*t^3.231 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 6*t^5.077 + 8*t^5.538 + 4*t^6. - t^4.385/y - t^4.385*y	detail	{a: 11253/17576, c: 7063/8788, M1: 16/13, M2: 12/13, M3: 10/13, M4: 12/13, M5: 14/13, M6: 10/13, q1: 6/13, q2: 4/13, qb1: 8/13, qb2: 10/13, phi1: 6/13}

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
47092	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$	0.7054	0.8656	0.815	[M:[1.0419, 0.8743, 0.9581, 1.0419, 0.9581, 0.9581], q:[0.521, 0.4371], qb:[0.6048, 0.521], phi:[0.479]]	t^2.623 + 4*t^2.874 + t^3.126 + t^3.377 + t^4.06 + 2*t^4.311 + 4*t^4.563 + 2*t^4.814 + t^5.066 + t^5.246 + 3*t^5.497 + 7*t^5.749 - t^6. - t^4.437/y - t^4.437*y	detail