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
3701	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{3}M_{7}$	0.6534	0.8169	0.7999	[X:[1.6158, 1.3109], M:[0.8475, 0.6891, 1.1525, 0.3842, 0.7287, 0.7287, 0.8475], q:[0.404, 0.7485], qb:[0.4436, 0.8673], phi:[0.3842]]	[X:[[0, 1], [0, 7]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [2, -13], [-2, 4], [0, 3]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$	-2	2*t^2.186 + t^2.305 + 2*t^2.543 + 2*t^3.576 + t^3.695 + t^3.933 + 3*t^4.372 + 2*t^4.491 + t^4.61 + 4*t^4.729 + 3*t^4.848 + 3*t^5.085 + 3*t^5.762 + 2*t^5.881 - 2*t^6. + 4*t^6.119 + 2*t^6.238 + 2*t^6.475 + 4*t^6.559 + 3*t^6.677 + 2*t^6.796 + 6*t^6.915 + 4*t^7.034 + 3*t^7.152 + 4*t^7.271 + 2*t^7.39 + 4*t^7.628 + t^7.865 + 4*t^7.949 + 2*t^8.067 - 4*t^8.186 + 3*t^8.305 + 2*t^8.424 - 5*t^8.543 + 4*t^8.661 + 5*t^8.745 + 3*t^8.78 + 4*t^8.864 + 3*t^8.982 - t^4.152/y - (2*t^6.339)/y - t^6.457/y - t^6.695/y + t^7.372/y + (2*t^7.491)/y + t^7.61/y + (4*t^7.729)/y + (3*t^7.848)/y + (2*t^7.966)/y + t^8.085/y - (3*t^8.525)/y - (2*t^8.644)/y + (3*t^8.762)/y + (2*t^8.881)/y - t^4.152*y - 2*t^6.339*y - t^6.457*y - t^6.695*y + t^7.372*y + 2*t^7.491*y + t^7.61*y + 4*t^7.729*y + 3*t^7.848*y + 2*t^7.966*y + t^8.085*y - 3*t^8.525*y - 2*t^8.644*y + 3*t^8.762*y + 2*t^8.881*y	(g1^2*t^2.186)/g2^13 + (g2^4*t^2.186)/g1^2 + t^2.305/g2^2 + 2*g2^3*t^2.543 + (g1^2*t^3.576)/g2^9 + (g2^8*t^3.576)/g1^2 + g2^2*t^3.695 + g2^7*t^3.933 + (g1^4*t^4.372)/g2^26 + t^4.372/g2^9 + (g2^8*t^4.372)/g1^4 + (g1^2*t^4.491)/g2^15 + (g2^2*t^4.491)/g1^2 + t^4.61/g2^4 + (2*g1^2*t^4.729)/g2^10 + (2*g2^7*t^4.729)/g1^2 + 3*g2*t^4.848 + 3*g2^6*t^5.085 + (g1^4*t^5.762)/g2^22 + t^5.762/g2^5 + (g2^12*t^5.762)/g1^4 + (g1^2*t^5.881)/g2^11 + (g2^6*t^5.881)/g1^2 - 2*t^6. + (2*g1^2*t^6.119)/g2^6 + (2*g2^11*t^6.119)/g1^2 + 2*g2^5*t^6.238 + 2*g2^10*t^6.475 + (g1^6*t^6.559)/g2^39 + (g1^2*t^6.559)/g2^22 + t^6.559/(g1^2*g2^5) + (g2^12*t^6.559)/g1^6 + (g1^4*t^6.677)/g2^28 + t^6.677/g2^11 + (g2^6*t^6.677)/g1^4 + t^6.796/g1^2 + (g1^2*t^6.796)/g2^17 + (2*g1^4*t^6.915)/g2^23 + (2*t^6.915)/g2^6 + (2*g2^11*t^6.915)/g1^4 + (2*g1^2*t^7.034)/g2^12 + (2*g2^5*t^7.034)/g1^2 + (g1^4*t^7.152)/g2^18 + t^7.152/g2 + (g2^16*t^7.152)/g1^4 + (2*g1^2*t^7.271)/g2^7 + (2*g2^10*t^7.271)/g1^2 + 2*g2^4*t^7.39 + 4*g2^9*t^7.628 + g2^14*t^7.865 + (g1^6*t^7.949)/g2^35 + (g1^2*t^7.949)/g2^18 + t^7.949/(g1^2*g2) + (g2^16*t^7.949)/g1^6 + (g1^4*t^8.067)/g2^24 + (g2^10*t^8.067)/g1^4 - (2*g1^2*t^8.186)/g2^13 - (2*g2^4*t^8.186)/g1^2 + (2*g1^4*t^8.305)/g2^19 - t^8.305/g2^2 + (2*g2^15*t^8.305)/g1^4 + (g1^2*t^8.424)/g2^8 + (g2^9*t^8.424)/g1^2 - 5*g2^3*t^8.543 + (2*g1^2*t^8.661)/g2^3 + (2*g2^14*t^8.661)/g1^2 + (g1^8*t^8.745)/g2^52 + (g1^4*t^8.745)/g2^35 + t^8.745/g2^18 + t^8.745/(g1^4*g2) + (g2^16*t^8.745)/g1^8 + 3*g2^8*t^8.78 + (g1^6*t^8.864)/g2^41 + (g1^2*t^8.864)/g2^24 + t^8.864/(g1^2*g2^7) + (g2^10*t^8.864)/g1^6 + (g1^4*t^8.982)/g2^30 + t^8.982/g2^13 + (g2^4*t^8.982)/g1^4 - t^4.152/(g2*y) - (g1^2*t^6.339)/(g2^14*y) - (g2^3*t^6.339)/(g1^2*y) - t^6.457/(g2^3*y) - (g2^2*t^6.695)/y + t^7.372/(g2^9*y) + (g1^2*t^7.491)/(g2^15*y) + (g2^2*t^7.491)/(g1^2*y) + t^7.61/(g2^4*y) + (2*g1^2*t^7.729)/(g2^10*y) + (2*g2^7*t^7.729)/(g1^2*y) + (3*g2*t^7.848)/y + (g1^2*t^7.966)/(g2^5*y) + (g2^12*t^7.966)/(g1^2*y) + (g2^6*t^8.085)/y - (g1^4*t^8.525)/(g2^27*y) - t^8.525/(g2^10*y) - (g2^7*t^8.525)/(g1^4*y) - (g1^2*t^8.644)/(g2^16*y) - (g2*t^8.644)/(g1^2*y) + (g1^4*t^8.762)/(g2^22*y) + t^8.762/(g2^5*y) + (g2^12*t^8.762)/(g1^4*y) + (g1^2*t^8.881)/(g2^11*y) + (g2^6*t^8.881)/(g1^2*y) - (t^4.152*y)/g2 - (g1^2*t^6.339*y)/g2^14 - (g2^3*t^6.339*y)/g1^2 - (t^6.457*y)/g2^3 - g2^2*t^6.695*y + (t^7.372*y)/g2^9 + (g1^2*t^7.491*y)/g2^15 + (g2^2*t^7.491*y)/g1^2 + (t^7.61*y)/g2^4 + (2*g1^2*t^7.729*y)/g2^10 + (2*g2^7*t^7.729*y)/g1^2 + 3*g2*t^7.848*y + (g1^2*t^7.966*y)/g2^5 + (g2^12*t^7.966*y)/g1^2 + g2^6*t^8.085*y - (g1^4*t^8.525*y)/g2^27 - (t^8.525*y)/g2^10 - (g2^7*t^8.525*y)/g1^4 - (g1^2*t^8.644*y)/g2^16 - (g2*t^8.644*y)/g1^2 + (g1^4*t^8.762*y)/g2^22 + (t^8.762*y)/g2^5 + (g2^12*t^8.762*y)/g1^4 + (g1^2*t^8.881*y)/g2^11 + (g2^6*t^8.881*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
3965	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$	0.6353	0.7844	0.8099	[X:[1.614, 1.2982], M:[0.8421, 0.7018, 1.1579, 0.386, 0.7368, 0.7368, 0.8421, 1.2281], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]]	2*t^2.211 + 2*t^2.526 + 2*t^3.579 + 2*t^3.684 + t^3.895 + 3*t^4.421 + 4*t^4.737 + t^4.842 + 3*t^5.053 + 3*t^5.789 + 2*t^5.895 - 3*t^6. - t^4.158/y - t^4.158*y	detail	{a: 688/1083, c: 1699/2166, X1: 92/57, X2: 74/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 14/19, M6: 14/19, M7: 16/19, M8: 70/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57}

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
3265	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$	0.6406	0.7956	0.8052	[X:[1.62, 1.3401], M:[0.86, 0.6599, 1.14, 0.38, 0.7099, 0.7099], q:[0.405, 0.735], qb:[0.455, 0.8851], phi:[0.38]]	2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*y	detail