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
2816	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6627	0.88	0.7531	[M:[0.9908, 1.0276, 0.7477, 0.7477, 0.7661, 0.7661], q:[0.7477, 0.2615], qb:[0.4862, 0.4862], phi:[0.5046]]	[M:[[4, 4], [-12, -12], [-5, 7], [7, -5], [-13, -1], [-1, -13]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$	${}$	-5	4*t^2.243 + 2*t^2.298 + t^2.972 + t^3.028 + 2*t^3.083 + 3*t^4.431 + 10*t^4.486 + 8*t^4.541 + 3*t^4.597 + 4*t^5.216 + 6*t^5.271 + 8*t^5.326 + 4*t^5.381 - 5*t^6. + t^6.055 + 2*t^6.11 + 3*t^6.165 + 8*t^6.674 + 22*t^6.729 + 16*t^6.784 + 10*t^6.84 + 4*t^6.895 + 8*t^7.459 + 16*t^7.514 + 23*t^7.569 + 15*t^7.624 + 6*t^7.679 - 2*t^8.133 - 6*t^8.188 - 20*t^8.243 - 8*t^8.298 + 8*t^8.353 + 12*t^8.409 + 6*t^8.464 + 5*t^8.862 + 14*t^8.917 + 30*t^8.972 - t^4.514/y - (2*t^6.757)/y - (2*t^6.812)/y + t^7.431/y + (6*t^7.486)/y + (8*t^7.541)/y + (6*t^8.216)/y + (8*t^8.271)/y + (10*t^8.326)/y + (4*t^8.381)/y - t^4.514*y - 2*t^6.757*y - 2*t^6.812*y + t^7.431*y + 6*t^7.486*y + 8*t^7.541*y + 6*t^8.216*y + 8*t^8.271*y + 10*t^8.326*y + 4*t^8.381*y	(2*g1^7*t^2.243)/g2^5 + (2*g2^7*t^2.243)/g1^5 + t^2.298/(g1*g2^13) + t^2.298/(g1^13*g2) + g1^4*g2^4*t^2.972 + t^3.028/(g1^4*g2^4) + (2*t^3.083)/(g1^12*g2^12) + (g1^22*t^4.431)/g2^2 + g1^10*g2^10*t^4.431 + (g2^22*t^4.431)/g1^2 + (3*g1^14*t^4.486)/g2^10 + 4*g1^2*g2^2*t^4.486 + (3*g2^14*t^4.486)/g1^10 + (2*g1^6*t^4.541)/g2^18 + (4*t^4.541)/(g1^6*g2^6) + (2*g2^6*t^4.541)/g1^18 + t^4.597/(g1^2*g2^26) + t^4.597/(g1^14*g2^14) + t^4.597/(g1^26*g2^2) + (2*g1^11*t^5.216)/g2 + (2*g2^11*t^5.216)/g1 + (3*g1^3*t^5.271)/g2^9 + (3*g2^3*t^5.271)/g1^9 + (4*t^5.326)/(g1^5*g2^17) + (4*t^5.326)/(g1^17*g2^5) + (2*t^5.381)/(g1^13*g2^25) + (2*t^5.381)/(g1^25*g2^13) - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.055/(g1^8*g2^8) + (2*t^6.11)/(g1^16*g2^16) + (3*t^6.165)/(g1^24*g2^24) + (2*g1^29*t^6.674)/g2^7 + 2*g1^17*g2^5*t^6.674 + 2*g1^5*g2^17*t^6.674 + (2*g2^29*t^6.674)/g1^7 + (5*g1^21*t^6.729)/g2^15 + (6*g1^9*t^6.729)/g2^3 + (6*g2^9*t^6.729)/g1^3 + (5*g2^21*t^6.729)/g1^15 + (3*g1^13*t^6.784)/g2^23 + (5*g1*t^6.784)/g2^11 + (5*g2*t^6.784)/g1^11 + (3*g2^13*t^6.784)/g1^23 + (2*g1^5*t^6.84)/g2^31 + (3*t^6.84)/(g1^7*g2^19) + (3*t^6.84)/(g1^19*g2^7) + (2*g2^5*t^6.84)/g1^31 + t^6.895/(g1^3*g2^39) + t^6.895/(g1^15*g2^27) + t^6.895/(g1^27*g2^15) + t^6.895/(g1^39*g2^3) + (3*g1^18*t^7.459)/g2^6 + 2*g1^6*g2^6*t^7.459 + (3*g2^18*t^7.459)/g1^6 + (5*g1^10*t^7.514)/g2^14 + (6*t^7.514)/(g1^2*g2^2) + (5*g2^10*t^7.514)/g1^14 + (7*g1^2*t^7.569)/g2^22 + (9*t^7.569)/(g1^10*g2^10) + (7*g2^2*t^7.569)/g1^22 + (4*t^7.624)/(g1^6*g2^30) + (7*t^7.624)/(g1^18*g2^18) + (4*t^7.624)/(g1^30*g2^6) + (2*t^7.679)/(g1^14*g2^38) + (2*t^7.679)/(g1^26*g2^26) + (2*t^7.679)/(g1^38*g2^14) - g1^23*g2^11*t^8.133 - g1^11*g2^23*t^8.133 - 3*g1^15*g2^3*t^8.188 - 3*g1^3*g2^15*t^8.188 - (2*g1^19*t^8.243)/g2^17 - (8*g1^7*t^8.243)/g2^5 - (8*g2^7*t^8.243)/g1^5 - (2*g2^19*t^8.243)/g1^17 - (g1^11*t^8.298)/g2^25 - (3*t^8.298)/(g1*g2^13) - (3*t^8.298)/(g1^13*g2) - (g2^11*t^8.298)/g1^25 + (4*t^8.353)/(g1^9*g2^21) + (4*t^8.353)/(g1^21*g2^9) + (6*t^8.409)/(g1^17*g2^29) + (6*t^8.409)/(g1^29*g2^17) + (3*t^8.464)/(g1^25*g2^37) + (3*t^8.464)/(g1^37*g2^25) + (g1^44*t^8.862)/g2^4 + g1^32*g2^8*t^8.862 + g1^20*g2^20*t^8.862 + g1^8*g2^32*t^8.862 + (g2^44*t^8.862)/g1^4 + 3*g1^24*t^8.917 + (3*g1^36*t^8.917)/g2^12 + 2*g1^12*g2^12*t^8.917 + 3*g2^24*t^8.917 + (3*g2^36*t^8.917)/g1^12 + (7*g1^28*t^8.972)/g2^20 + (7*g1^16*t^8.972)/g2^8 + 2*g1^4*g2^4*t^8.972 + (7*g2^16*t^8.972)/g1^8 + (7*g2^28*t^8.972)/g1^20 - t^4.514/(g1^2*g2^2*y) - (g1^5*t^6.757)/(g2^7*y) - (g2^5*t^6.757)/(g1^7*y) - t^6.812/(g1^3*g2^15*y) - t^6.812/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.431)/y + (g1^14*t^7.486)/(g2^10*y) + (4*g1^2*g2^2*t^7.486)/y + (g2^14*t^7.486)/(g1^10*y) + (2*g1^6*t^7.541)/(g2^18*y) + (4*t^7.541)/(g1^6*g2^6*y) + (2*g2^6*t^7.541)/(g1^18*y) + (3*g1^11*t^8.216)/(g2*y) + (3*g2^11*t^8.216)/(g1*y) + (4*g1^3*t^8.271)/(g2^9*y) + (4*g2^3*t^8.271)/(g1^9*y) + (5*t^8.326)/(g1^5*g2^17*y) + (5*t^8.326)/(g1^17*g2^5*y) + (2*t^8.381)/(g1^13*g2^25*y) + (2*t^8.381)/(g1^25*g2^13*y) - (t^4.514*y)/(g1^2*g2^2) - (g1^5*t^6.757*y)/g2^7 - (g2^5*t^6.757*y)/g1^7 - (t^6.812*y)/(g1^3*g2^15) - (t^6.812*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.431*y + (g1^14*t^7.486*y)/g2^10 + 4*g1^2*g2^2*t^7.486*y + (g2^14*t^7.486*y)/g1^10 + (2*g1^6*t^7.541*y)/g2^18 + (4*t^7.541*y)/(g1^6*g2^6) + (2*g2^6*t^7.541*y)/g1^18 + (3*g1^11*t^8.216*y)/g2 + (3*g2^11*t^8.216*y)/g1 + (4*g1^3*t^8.271*y)/g2^9 + (4*g2^3*t^8.271*y)/g1^9 + (5*t^8.326*y)/(g1^5*g2^17) + (5*t^8.326*y)/(g1^17*g2^5) + (2*t^8.381*y)/(g1^13*g2^25) + (2*t^8.381*y)/(g1^25*g2^13)

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
3345	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$	0.651	0.8622	0.755	[M:[0.9518, 1.1446, 0.759, 0.7169, 0.8554, 0.8134], q:[0.7379, 0.3103], qb:[0.4067, 0.4487], phi:[0.5241]]	2*t^2.151 + 2*t^2.277 + t^2.44 + t^2.566 + t^2.855 + t^3.145 + 2*t^3.434 + t^4.012 + t^4.138 + t^4.264 + 3*t^4.302 + 4*t^4.428 + 3*t^4.554 + 2*t^4.591 + 4*t^4.717 + 2*t^4.843 + t^4.88 + 3*t^5.006 + 3*t^5.132 + 3*t^5.295 + 3*t^5.421 + 4*t^5.585 + 4*t^5.711 + t^5.874 - t^6. - t^4.572/y - t^4.572*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
1801	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6449	0.848	0.7605	[M:[0.9839, 1.0482, 0.7351, 0.7569, 0.7672], q:[0.746, 0.2701], qb:[0.4868, 0.465], phi:[0.508]]	2*t^2.205 + 2*t^2.271 + t^2.302 + t^2.952 + t^3.048 + 2*t^3.145 + t^3.633 + t^4.314 + t^4.38 + 3*t^4.41 + t^4.445 + 4*t^4.476 + 2*t^4.507 + 3*t^4.541 + 2*t^4.572 + t^4.603 + 2*t^5.157 + 2*t^5.223 + 3*t^5.253 + 2*t^5.319 + 4*t^5.35 + 3*t^5.415 + 2*t^5.446 + 2*t^5.838 + 2*t^5.904 - 3*t^6. - t^4.524/y - t^4.524*y	detail