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
57740	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	1.0805	1.212	0.8916	[X:[1.4829], M:[], q:[0.6895, 0.3624], qb:[0.3448, 1.0519], phi:[0.2586]]	[X:[[6]], M:[], q:[[-8], [19]], qb:[[-4], [11]], phi:[[-3]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$	0	t^2.12 + t^2.33 + t^2.9 + t^3.1 + t^3.67 + 2*t^4.24 + 2*t^4.45 + t^4.65 + 2*t^5.02 + 3*t^5.22 + t^5.43 + t^5.59 + 2*t^5.79 + t^6.21 + 2*t^6.36 + 3*t^6.57 + 2*t^6.78 + 3*t^7.14 + 5*t^7.35 + 3*t^7.55 + t^7.71 + 4*t^7.92 + t^8.12 + 2*t^8.33 + 4*t^8.49 + 5*t^8.69 - t^8.9 + t^8.33/y^2 - t^8.9/y^2 - t^3.78/y - t^4.55/y - t^5.9/y - t^6.1/y - t^6.67/y - (2*t^6.88)/y - t^8.02/y + t^8.22/y - t^3.78*y - t^4.55*y - t^5.9*y - t^6.1*y - t^6.67*y - 2*t^6.88*y - t^8.02*y + t^8.22*y + t^8.33*y^2 - t^8.9*y^2	g1^15*t^2.12 + t^2.33/g1^9 + g1^12*t^2.9 + t^3.1/g1^12 + g1^9*t^3.67 + 2*g1^30*t^4.24 + 2*g1^6*t^4.45 + t^4.65/g1^18 + 2*g1^27*t^5.02 + 3*g1^3*t^5.22 + t^5.43/g1^21 + g1^48*t^5.59 + 2*g1^24*t^5.79 + t^6.21/g1^24 + 2*g1^45*t^6.36 + 3*g1^21*t^6.57 + (2*t^6.78)/g1^3 + 3*g1^42*t^7.14 + 5*g1^18*t^7.35 + (3*t^7.55)/g1^6 + g1^63*t^7.71 + 4*g1^39*t^7.92 + g1^15*t^8.12 + (2*t^8.33)/g1^9 + 4*g1^60*t^8.49 + 5*g1^36*t^8.69 - g1^12*t^8.9 + t^8.33/(g1^9*y^2) - (g1^12*t^8.9)/y^2 - t^3.78/(g1^3*y) - t^4.55/(g1^6*y) - (g1^12*t^5.9)/y - t^6.1/(g1^12*y) - (g1^9*t^6.67)/y - (2*t^6.88)/(g1^15*y) - (g1^27*t^8.02)/y + (g1^3*t^8.22)/y - (t^3.78*y)/g1^3 - (t^4.55*y)/g1^6 - g1^12*t^5.9*y - (t^6.1*y)/g1^12 - g1^9*t^6.67*y - (2*t^6.88*y)/g1^15 - g1^27*t^8.02*y + g1^3*t^8.22*y + (t^8.33*y^2)/g1^9 - g1^12*t^8.9*y^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
60797	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$	1.0778	1.2058	0.8938	[X:[1.4879], M:[1.0242], q:[0.6828, 0.3784], qb:[0.3414, 1.0612], phi:[0.256]]	t^2.16 + t^2.3 + 2*t^3.07 + t^3.7 + 2*t^4.32 + 2*t^4.46 + t^4.61 + t^5.09 + 3*t^5.23 + 2*t^5.38 + t^5.71 + t^5.85 - t^6. - t^3.77/y - t^4.54/y - t^5.93/y - t^3.77*y - t^4.54*y - t^5.93*y	detail
60594	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$	1.0985	1.2433	0.8835	[X:[1.4849], M:[0.7727], q:[0.6868, 0.3688], qb:[0.3434, 1.0556], phi:[0.2576]]	t^2.14 + 2*t^2.32 + t^2.91 + t^3.09 + 2*t^4.27 + 3*t^4.45 + 3*t^4.64 + 2*t^5.05 + 4*t^5.23 + 2*t^5.41 + t^5.64 + t^5.82 - t^6. - t^3.77/y - t^4.55/y - t^5.91/y - t^3.77*y - t^4.55*y - t^5.91*y	detail
59376	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.0628	1.1812	0.8998	[X:[1.4808], M:[1.2212], q:[0.6923, 0.3558], qb:[0.3461, 1.0481], phi:[0.2596]]	t^2.11 + t^2.88 + t^3.12 + 2*t^3.66 + 2*t^4.21 + t^4.44 + 2*t^4.99 + 2*t^5.22 + t^5.54 + 3*t^5.77 - t^6. - t^3.78/y - t^4.56/y - t^5.88/y - t^3.78*y - t^4.56*y - t^5.88*y	detail
59291	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.9722	1.0556	0.9211	[X:[1.5556, 1.3333], M:[], q:[0.5926, 0.5926], qb:[0.2963, 1.1852], phi:[0.2222]]	2*t^2.67 + t^3.33 + 2*t^4. + t^4.67 + 5*t^5.33 - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y	detail	{a: 35/36, c: 19/18, X1: 14/9, X2: 4/3, q1: 16/27, q2: 16/27, qb1: 8/27, qb2: 32/27, phi1: 2/9}
60083	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.852	0.9145	0.9317	[X:[1.6, 1.4], M:[], q:[0.5333, 0.7333], qb:[0.2667, 1.2667], phi:[0.2]]	t^2.4 + t^3. + t^3.6 + 2*t^4.2 + 2*t^4.8 + t^5.4 - t^3.6/y - t^4.2/y - t^6./y - t^3.6*y - t^4.2*y - t^6.*y	detail	{a: 213/250, c: 1829/2000, X1: 8/5, X2: 7/5, q1: 8/15, q2: 11/15, qb1: 4/15, qb2: 19/15, phi1: 1/5}

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
47953	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4221	1.5818	0.899	[X:[1.4074], q:[0.5926, 0.5185], qb:[0.5926, 0.5185], phi:[0.2963]]	t^2.667 + t^3.111 + 2*t^3.333 + t^3.556 + t^4. + 3*t^4.222 + t^4.444 + t^4.889 + 2*t^5.111 + 2*t^5.333 + t^5.778 - t^3.889/y - t^4.778/y - t^3.889*y - t^4.778*y	detail	{a: 1843/1296, c: 1025/648, X1: 38/27, q1: 16/27, q2: 14/27, qb1: 16/27, qb2: 14/27, phi1: 8/27}